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494 KiB
494 KiB
| 1 | # | Model_Name | Family | Equation | Variables | Purpose | Location | Implemented | Status | Cross_Refs | Domain_Type | Bind_Class |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2 | 1 | Intrinsic_Load_LI | Cognitive Load | L_I(x) = -Σ_{b=0}^{255} p(b|x) log₂ p(b|x) | p(b|x) = empirical byte distribution | Shannon entropy of byte distribution; irreducible complexity | core/intrinsic/specs/COGNITIVE_LOAD_FUNCTIONS_SPEC.md | Python | ✅ | 2,71,40 | LAYER_A_COMPRESSION | informational_bind |
| 3 | 2 | Extraneous_Load_LE | Cognitive Load | L_E(x) = BPB(x,w_prior) - BPB*(x) = (1/n)Σ_i log₂(P_w*(x_i)/P_wprior(x_i)) | BPB=bits-per-byte, w_prior=prior weights, w*=optimal | Cost of architectural mismatch; penalty for suboptimal routing | core/intrinsic/specs/COGNITIVE_LOAD_FUNCTIONS_SPEC.md | Python | ✅ | 1,3,6,8 | LAYER_A_COMPRESSION | informational_bind |
| 4 | 3 | Germane_Load_LG | Cognitive Load | L_G(x,t) = Σ_{s=1}^{S} γ^s · ΔL_E(x_s,t+1) ≈ τ·L_E·log(S+1)/log(S_max+1) | γ=temporal discount, τ=trust, S=engram support | Productive learning effort reducing future extraneous load | core/intrinsic/specs/COGNITIVE_LOAD_FUNCTIONS_SPEC.md | Python | ✅ | 2,6,73 | LAYER_B_ROUTING | informational_bind |
| 5 | 4 | Routing_Load_LR | Cognitive Load | L_R(x) = Σ_j c_j·1[f_j computed] + Σ_{l=1}^{D(x)} log₂|M_l| | d=9 feature dims, c_j=feature cost, D=tree depth, M_l=candidates | Computational cost of classification and method selection | core/intrinsic/specs/COGNITIVE_LOAD_FUNCTIONS_SPEC.md | Python | ✅ | 6,16-23 | LAYER_B_ROUTING | informational_bind |
| 6 | 5 | Memory_Load_LM | Cognitive Load | L_M(x) = log₂|E| + α·1[hit] + β + λ·|E|/|E_max| | |E|=engram store size, α/β=retrieval/update costs, λ=eviction pressure | Burden of storing, retrieving, and updating routing memory | core/intrinsic/specs/COGNITIVE_LOAD_FUNCTIONS_SPEC.md | Python | ✅ | 6,10,30 | LAYER_B_ROUTING | informational_bind |
| 7 | 6 | Total_Cognitive_Load | Cognitive Load | L_total = λI·l̂I + λE·l̂E - λG·l̂G + λR·l̂R + λM·l̂M (Σλ=1, λG≤λE) | 5 normalized load components with weighting coefficients | Aggregate processing burden; combines all load classes | core/intrinsic/specs/COGNITIVE_LOAD_FUNCTIONS_SPEC.md | Python | ✅ | 1,2,3,4,5,7,8,9,74 | LAYER_A_COMPRESSION | informational_bind |
| 8 | 7 | Cognitive_Efficiency | Cognitive Load | η(x) = l̂I(x) / (l̂I + l̂E + l̂R + l̂M + ε) | Ratio of intrinsic to total normalized load | Routing efficiency (1=perfect, 0=maximum waste) | core/intrinsic/specs/COGNITIVE_LOAD_FUNCTIONS_SPEC.md | Python | ✅ | 6 | LAYER_A_COMPRESSION | informational_bind |
| 9 | 8 | Regret_Adjusted_Load | Cognitive Load | L_ρ(x) = L_total(x) · (1 + ρ(x)/ρ_max) | ρ=BPB regret, ρ_max=max regret | Load penalized by historical performance on similar inputs | core/intrinsic/specs/COGNITIVE_LOAD_FUNCTIONS_SPEC.md | Python | ✅ | 2,6 | LAYER_A_COMPRESSION | informational_bind |
| 10 | 9 | Basin_Conditional_Load | Cognitive Load | L(x|B) = L_I(x) + L_E(x|B) + L_R^B(x) | w_B=basin-optimal weights | Load conditioned on attractor basin membership | core/intrinsic/specs/COGNITIVE_LOAD_FUNCTIONS_SPEC.md | Python | ✅ | 1,2,4,12 | LAYER_A_COMPRESSION | informational_bind |
| 11 | 10 | MoE_Predictor_Distribution | Cognitive Load | P_w(x_i|x_{<i}) = Σ_{j=1}^{k} w_j · P_{m_j}(x_i|x_{<i}) | k=predictors, w∈Δ^{k-1} simplex | Combines multiple compression predictors into mixed distribution | core/intrinsic/specs/COGNITIVE_LOAD_FUNCTIONS_SPEC.md | Python | ✅ | 1,2 | LAYER_A_COMPRESSION | informational_bind |
| 12 | 11 | Pressure_Piling | KDA Physics | P(i) = P₀ · χ^i (χ ≈ 1.63) | P₀=1.0 GPa, i=shock iteration, χ=Dodecahedral Piling Gain | Sequential shock pressure amplification via Mach stem focusing | core/intrinsic/formalisms/9_KDA_Equation_Manifest.md | Documented | ✅ | 12,15 | LAYER_E_VERIFICATION | thermodynamic_bind |
| 13 | 12 | Hugoniot_Temperature | KDA Physics | T_peak = T₀ · (P_peak/P₀)^0.65 | T₀=293.15K, γ≈1.66, exponent=0.65 | Non-isentropic temperature jump across shock fronts; predicts ~13,446K | core/intrinsic/formalisms/9_KDA_Equation_Manifest.md | Documented | ✅ | 11,14,51 | LAYER_G_ENERGY | thermodynamic_bind |
| 14 | 13 | Pressure_Ionization | KDA Physics | α(P) = 1 - exp(-k(P - P_MIT)) | P_MIT≈138-155 GPa, k=rate constant | Insulator-to-metal transition via electronic band overlap | core/intrinsic/formalisms/9_KDA_Equation_Manifest.md | Documented | ✅ | 15 | LAYER_G_ENERGY | thermodynamic_bind |
| 15 | 14 | Energy_Recovery_Efficiency | KDA Physics | η_net = (W_rec - W_erasure) / W_in; W_erasure ≥ k_B·T·ln2 per bit | k_B=Boltzmann, T=T_peak=13,446K | Maxwell's Demon energy recovery after erasure cost | core/intrinsic/formalisms/9_KDA_Equation_Manifest.md | Documented | ✅ | 12,54,55 | LAYER_E_VERIFICATION | thermodynamic_bind |
| 16 | 15 | Q_Factor | KDA Physics | Q = (E_flash + E_enthalpy + E_recovered - W_demon) / (E_work + E_loss) > 1.0 | Target Q≈1.05 | Global energy balance; net gain threshold | core/intrinsic/formalisms/9_KDA_Equation_Manifest.md | Documented | ✅ | 11,12,13,14 | LAYER_E_VERIFICATION | thermodynamic_bind |
| 17 | 17 | Rotational_Alignment | GWL Rotation | g = cos(Δθ·2π/16) · cos(Δφ·π/8) · (1 - 2|χ_i - χ_j|) | θ∈{0..15}, φ∈{0..7}, χ∈{0,1} | Frame orientation compatibility | docs/gwl/GWL_ROTATIONAL_COUPLING_AND_LOCAL_INTERACTION_LAW_V1.md | Rust | ✅ | 16,25 | LAYER_C_TOPOLOGY | geometric_bind |
| 18 | 18 | Spatial_Proximity | GWL Rotation | h = exp(-|Δp|²/(2σ²)) · 1_{|Δp|<r_max} | σ=coupling length, r_max=coupling radius | Distance decay function | docs/gwl/GWL_ROTATIONAL_COUPLING_AND_LOCAL_INTERACTION_LAW_V1.md | Rust | ✅ | 16,25 | LAYER_C_TOPOLOGY | geometric_bind |
| 19 | 19 | Interaction_Force | GWL Rotation | F_ij = w_ij · (a_j - a_i) · Δp_ij / |Δp_ij| | a=activation, Δp=position delta | Activation flow between neighbors | docs/gwl/GWL_ROTATIONAL_COUPLING_AND_LOCAL_INTERACTION_LAW_V1.md | Rust | ✅ | 16,20,21,22 | LAYER_H_ALGEBRA | geometric_bind |
| 20 | 20 | Energy_Function | GWL Rotation | E(f) = -½ Σ_{i,j} w_ij · a_i · a_j + Σ_i V(a_i) | V(a)=potential (e.g., λa⁴) | Frame field energy landscape | docs/gwl/GWL_ROTATIONAL_COUPLING_AND_LOCAL_INTERACTION_LAW_V1.md | Rust | ✅ | 19,21,22,23 | LAYER_G_ENERGY | geometric_bind |
| 21 | 21 | Frame_Evolution_Discrete | GWL Rotation | θ_i(t+1) = θ_i(t) + α_θ·F_{i,θ} + ξ_θ | α=learning rate, ξ=noise | Discrete-time state update | docs/gwl/GWL_ROTATIONAL_COUPLING_AND_LOCAL_INTERACTION_LAW_V1.md | Rust | ✅ | 19,22 | LAYER_H_ALGEBRA | geometric_bind |
| 22 | 22 | Frame_Evolution_Continuous | GWL Rotation | df_i/dt = -α ∇_{f_i} E(f) + ξ(t) | α=step size, ξ(t)=Langevin noise | Continuous dynamics; gradient descent on energy | docs/gwl/GWL_ROTATIONAL_COUPLING_AND_LOCAL_INTERACTION_LAW_V1.md | Rust | ✅ | 20,21,23 | LAYER_H_ALGEBRA | geometric_bind |
| 23 | 23 | Energy_Monotonicity_Theorem | GWL Rotation | dE/dt = -α Σ_i |∇_{f_i} E|² ≤ 0 | — | Proves energy decreases monotonically; convergence guarantee | docs/gwl/GWL_ROTATIONAL_COUPLING_AND_LOCAL_INTERACTION_LAW_V1.md | Rust | ✅ | 20,22 | LAYER_H_ALGEBRA | geometric_bind |
| 24 | 24 | Temporal_Weight | GWL Temporal | w_ij^(τ) = cos(2π(τ_j - τ_i)/16) | τ∈{0..15} (4 bits) | Temporal phase coupling strength | docs/gwl/GWL_TEMPORAL_DIMENSION_AND_T_VARIABLE_FORMALISM_V1.md | Documented | ✅ | 16,25,26 | LAYER_C_TOPOLOGY | geometric_bind |
| 25 | 25 | Complete_Weight_5Factor | GWL Temporal | w_ij = cos(Δθ·22.5°)·cos(Δφ·22.5°)·cos(2πΔτ/16)·(1-2|Δχ|)·exp(-|Δp|²/2σ²) | θ,φ,τ,χ,Δp combined | Full spatial+temporal+rotational+chiral+proximity coupling | docs/gwl/GWL_TEMPORAL_DIMENSION_AND_T_VARIABLE_FORMALISM_V1.md | Documented | ✅ | 16,17,18,24,26 | LAYER_C_TOPOLOGY | geometric_bind |
| 26 | 26 | Temporal_Force | GWL Temporal | F_ij^(τ) = w_ij^(τ) · (a_j - a_i) · sgn(τ_j - τ_i) | — | Information flow from past to future | docs/gwl/GWL_TEMPORAL_DIMENSION_AND_T_VARIABLE_FORMALISM_V1.md | Documented | ✅ | 24,25,27 | LAYER_C_TOPOLOGY | geometric_bind |
| 27 | 27 | Temporal_Evolution | GWL Temporal | τ_i(t+1) = τ_i(t) + α_τ·F_{i,τ} + ω₀ | ω₀=intrinsic temporal frequency | Temporal phase evolution with intrinsic oscillator | docs/gwl/GWL_TEMPORAL_DIMENSION_AND_T_VARIABLE_FORMALISM_V1.md | Documented | ✅ | 26,28 | LAYER_C_TOPOLOGY | geometric_bind |
| 28 | 28 | Temporal_Stability | GWL Temporal | d/dt(τ_j - τ_i) = 0 for all i,j | — | Locked temporal attractor condition | docs/gwl/GWL_TEMPORAL_DIMENSION_AND_T_VARIABLE_FORMALISM_V1.md | Documented | ✅ | 27,29 | LAYER_D_INVARIANTS | geometric_bind |
| 29 | 29 | Temporal_Entropy | GWL Temporal | H_τ = -Σ_{k=0}^{15} p(τ=k) log₂ p(τ=k) | 0≤H_τ≤4 bits | Measure of temporal disorder (0=synchronized, 4=max) | docs/gwl/GWL_TEMPORAL_DIMENSION_AND_T_VARIABLE_FORMALISM_V1.md | Documented | ✅ | 28 | LAYER_C_TOPOLOGY | geometric_bind |
| 30 | 30 | Mu_Seed_Cardinality | GWL State Space | |S_μ| = 8×8×16×16×8×8×2×16×8×4 = 8,589,934,592 ≈ 2^33 | 10 independent fields | Complete enumeration of local mu-seed configuration space | docs/gwl/GWL_TOTAL_STATE_SPACE_AND_CARDINALITY_LEDGER_V1.md | Documented | ✅ | 31,32 | LAYER_D_INVARIANTS | geometric_bind |
| 31 | 31 | Fractal_Occupancy | GWL State Space | |P_occ| = ρ_occ · N^{d_H} (d_H ≈ 2.7268) | N=64 → |P_occ|≈84,000 vs 262,144 raw | Effective addressable positions in Menger sponge lattice | docs/gwl/GWL_TOTAL_STATE_SPACE_AND_CARDINALITY_LEDGER_V1.md | Documented | ✅ | 30,32,49 | LAYER_D_INVARIANTS | geometric_bind |
| 32 | 32 | Total_Formal_State_Space | GWL State Space | |S_total| ≈ 2^{5,900,000} | μ-seed: 2,772,000 bits + edges: 2,016,000 + rotation: 924,000 + boot: 8,000 + registers: 133,000 | Upper bound on all possible GWPL configurations | docs/gwl/GWL_TOTAL_STATE_SPACE_AND_CARDINALITY_LEDGER_V1.md | Documented | ✅ | 30,31,33,5 | LAYER_B_ROUTING | geometric_bind |
| 33 | 33 | Reachable_State_Space | GWL State Space | |S_reachable| ≈ |S_total| / 10^{29} | Constraints: geometric 10^6, convergence 10^{12}, energy 10^3, chirality 10^2, TTM 10^6 | State space satisfying all physical and computational constraints | docs/gwl/GWL_TOTAL_STATE_SPACE_AND_CARDINALITY_LEDGER_V1.md | Documented | ✅ | 32,59 | LAYER_A_COMPRESSION | geometric_bind |
| 34 | 34 | Wave_Packet_State | GWL Throat | P = (ΔV, Δt, π, τ, χ, C, A) | 7-tuple: volume, time, rotation, temporal, chirality, confidence, activation | Complete state of computational packet traversing throat | docs/gwl/GWL_WAVE_PACKET_THROAT_ARCHITECTURE_V1.md | Documented | ✅ | 35,36 | LAYER_C_TOPOLOGY | geometric_bind |
| 35 | 35 | Throat_Condition | GWL Throat | T_throat = {(i,j) | Φ_topo(i,j) >> Φ_metric(i,j)} | topological adjacency >> metric distance | Defines non-local transport corridor | docs/gwl/GWL_WAVE_PACKET_THROAT_ARCHITECTURE_V1.md | Documented | ✅ | 34,36,37 | LAYER_C_BRAID | geometric_bind |
| 36 | 36 | Multi_Factor_Coupling_Weight | GWL Throat | w_ij = w_p · w_π · w_τ · w_χ · w_topo · w_σ | 6 coupling factors (spatial, rotational, temporal, chirality, topological, stress) | Comprehensive coupling evaluation during packet propagation | docs/gwl/GWL_WAVE_PACKET_THROAT_ARCHITECTURE_V1.md | Documented | ✅ | 25,34,35 | LAYER_C_BRAID | geometric_bind |
| 37 | 37 | Holonomy_Accumulation | GWL Throat | Hol(γ_loop) = ∮_γ T(p) dp | T(p)=torsion tensor, γ=closed loop | Phase accumulated when transporting vector around closed loop | docs/gwl/GWL_WAVE_PACKET_THROAT_ARCHITECTURE_V1.md | Documented | ✅ | 38,78 | LAYER_C_BRAID | geometric_bind |
| 38 | 38 | Non_Euclidean_Distance | GWL Throat | d_N = path_length(γ_ij) + curvature_penalty(κ) + torsion_cost(T); d_T = d_E + λ_N·d_N | Euclidean + topological combined | Topology-aware distance for routing through multi-manifold structures | docs/gwl/GWL_MANIFOLD_INTERSECTION_JOIN_AND_TOPOLOGICAL_ADDRESSING_V1.md | Documented | ✅ | 37,63 | LAYER_C_TOPOLOGY | geometric_bind |
| 39 | 39 | Trixal_Axes | Thermodynamic | TrixalAxes = (thermal, work, irreversibility), each ∈ [0,1]; |axes| = √(th² + w² + ir²) | 3D thermodynamic phase space | Phase space coordinates for process tracking | core/gwl-vm/src/thermo/mod.rs | Rust | ✅ | 40,42,50 | LAYER_G_ENERGY | thermodynamic_bind |
| 40 | 40 | Shannon_Entropy | Thermodynamic | H = -Σ_b p(b) log₂ p(b), where p(b)=count(b)/len | Byte distribution, H ∈ [0,8] bits/byte | Information content measurement | core/gwl-vm/src/thermo/entropy_engine.rs | Rust | ✅ | 1,39,41,42,43 | LAYER_G_ENERGY | thermodynamic_bind |
| 41 | 41 | Kolmogorov_Estimate | Thermodynamic | K_est = (8 - H) / 8 | From Shannon entropy | Rough estimate of structure via compressibility | core/gwl-vm/src/thermo/entropy_engine.rs | Rust | ✅ | 40,42 | LAYER_G_ENERGY | thermodynamic_bind |
| 42 | 42 | Thermodynamic_Entropy | Thermodynamic | S_thermo = H + K_est · 0.1 | Shannon + Kolmogorov contribution | Combined information thermodynamics | core/gwl-vm/src/thermo/entropy_engine.rs | Rust | ✅ | 40,41,43,55 | LAYER_G_ENERGY | thermodynamic_bind |
| 43 | 43 | Entropy_Gradient | Thermodynamic | dS/dt = (S_current - S_previous) / Δt | Time derivative | Tracks rate of entropy change over time | core/gwl-vm/src/thermo/entropy_engine.rs | Rust | ✅ | 42,55 | LAYER_H_ALGEBRA | thermodynamic_bind |
| 44 | 44 | Mutual_Information_Extracted | Thermodynamic | MI = H_initial - H_current | Difference in Shannon entropy | Work performed by compression; information extracted | core/gwl-vm/src/thermo/entropy_engine.rs | Rust | ✅ | 40,71 | LAYER_A_COMPRESSION | thermodynamic_bind |
| 45 | 45 | Carnot_Efficiency | Thermodynamic | η_Carnot = 1 - T_cold / T_hot | Absolute temperatures | Maximum theoretical thermodynamic efficiency | core/gwl-vm/src/thermo/mod.rs | Rust | ✅ | 46,51,54 | LAYER_B_ROUTING | thermodynamic_bind |
| 46 | 46 | Work_Extraction | Thermodynamic | W_actual = Q_absorbed · η_Carnot · 0.7 | 70% of Carnot limit | Model computation as thermodynamic work extraction cycle | core/gwl-vm/src/thermo/heat_engine.rs | Rust | ✅ | 45,55 | LAYER_C_TOPOLOGY | thermodynamic_bind |
| 47 | 47 | Irreversibility_Metric | Thermodynamic | score = (entropy_production + path_asymmetry + time_reversal_violation) / 3 | Three irreversibility components | Quantifies thermodynamic irreversibility of process trajectory | core/gwl-vm/src/thermo/process_shape.rs | Rust | ✅ | 48,49 | LAYER_G_ENERGY | thermodynamic_bind |
| 48 | 48 | Thermodynamic_Length | Thermodynamic | L_thermo = Σ_i distance_i · (1 + irreversibility_i) | Weighted by dissipation | Dissipative trajectory length accounting for thermodynamic cost | core/gwl-vm/src/thermo/process_shape.rs | Rust | ✅ | 47,49 | LAYER_B_ROUTING | thermodynamic_bind |
| 49 | 49 | Thermodynamic_Depth | Thermodynamic | depth = entropy_production · ln(time_steps) | Combined dissipation × trajectory length | Complexity measure | core/gwl-vm/src/thermo/mod.rs | Rust | ✅ | 31,47,48 | LAYER_G_ENERGY | thermodynamic_bind |
| 50 | 50 | Stamp_Code | Thermodynamic | SHA256(axes || traj_hash || hardware_entropy || timing_jitter || process_nonce) | Cryptographic hash of thermodynamic state | Unique non-reproducible process fingerprint | core/gwl-vm/src/thermo/trixalating_stamp.rs | Rust | ✅ | 39,42 | LAYER_B_ROUTING | thermodynamic_bind |
| 51 | 51 | Arrhenius_Temperature_Factor | Informatic Stress | AF = exp(E_a / (k_B · T)) | E_a=activation energy (eV), k_B=8.617e-5 eV/K | Failure rate temperature acceleration | core/gwl-vm/src/thermo/informatic_stress.rs | Rust | ✅ | 12,45,52,59 | LAYER_G_ENERGY | thermodynamic_bind |
| 52 | 52 | Blacks_Equation_EM | Informatic Stress | EM_risk = J^n · exp(E_a / (k_B · T)) / 10^{12} | J=current density, n=exponent (2.0) | Electromigration failure risk | core/gwl-vm/src/thermo/informatic_stress.rs | Rust | ✅ | 51,59 | LAYER_G_ENERGY | thermodynamic_bind |
| 53 | 53 | Coffin_Manson_Fatigue | Informatic Stress | CM_damage = (ΔT / ΔT_threshold)^m · 10^{-8}, m≈1.9 | Solder/interconnect fatigue exponent | Accumulates damage from thermal cycling | core/gwl-vm/src/thermo/informatic_stress.rs | Rust | ✅ | 56,59 | LAYER_G_ENERGY | thermodynamic_bind |
| 54 | 54 | Landauer_Limit | Informatic Stress | W_erasure ≥ k_B · T · ln(2) ≈ 2.87e-21 J/bit at 300K | Minimum energy per bit erased | Thermodynamic lower bound on computation | core/gwl-vm/src/thermo/informatic_stress.rs | Rust | ✅ | 14,45,55 | LAYER_A_COMPRESSION | thermodynamic_bind |
| 55 | 55 | Entropy_Generation_Rate | Informatic Stress | dS/dt = power_dissipation / (k_B · T · ln 2) [bits/s] | Power dissipation rate | Rate of entropy generation from computational dissipation | core/gwl-vm/src/thermo/informatic_stress.rs | Rust | ✅ | 14,42,43,46,54 | LAYER_E_VERIFICATION | thermodynamic_bind |
| 56 | 56 | BitFlip_Gradient_5D | Informatic Stress | |G| = (D1/120 + D2/5000 + D3/1000 + D4/100 + D5/5000) / 5 | D1=T_ambient, D2=V_jitter(nV), D3=φ_leak(μA), D4=ε_SEU(Hz), D5=dt_clock(ppm) | Normalized 5D hardware stress gradient | core/gwl-vm/src/thermo/informatic_stress.rs | Rust | ✅ | 53,57,59 | LAYER_D_INVARIANTS | thermodynamic_bind |
| 57 | 57 | SEU_BitFlip_Rate | Informatic Stress | BFR = ε_SEU · 2^{(T-25)/10} · (1 + V_jitter/1000) · 3600 [flips/hr] | SEU rate, temperature, voltage jitter | Estimated bit-flips per hour from hardware conditions | core/gwl-vm/src/thermo/informatic_stress.rs | Rust | ✅ | 56,59 | LAYER_G_ENERGY | thermodynamic_bind |
| 58 | 58 | Stress_Decay | Informatic Stress | stress(t) = stress_0 · e^{-t/300} + intensity · (1 - e^{-t/300}) | 5-minute half-life | Stress accumulation with exponential decay | core/gwl-vm/src/thermo/informatic_stress.rs | Rust | ✅ | 59 | LAYER_G_ENERGY | thermodynamic_bind |
| 59 | 59 | Remaining_Useful_Life | Informatic Stress | RUL = MTBF / (AF · (1 + fatigue·0.01 + thermal_fatigue·0.1)) | MTBF=10^9/FIT_rate, AF=acceleration factor | Hardware lifetime prediction under current stress | core/gwl-vm/src/thermo/informatic_stress.rs | Rust | ✅ | 33,51,52,53,56,57,58 | LAYER_G_ENERGY | thermodynamic_bind |
| 60 | 60 | Homeostatic_Stress_Injection | Informatic Stress | surprise = -ln(margin), margin = 1 - stress_magnitude; regret = max(0, stress - 0.5) | Optimal stress ≈ 0.5 | Converts stress margin to surprise/regret for homeostatic controller | core/gwl-vm/src/thermo/informatic_stress.rs | Rust | ✅ | 58,73 | LAYER_E_VERIFICATION | thermodynamic_bind |
| 61 | 61 | Exact_Int_to_FP_Cast | Informatic Stress | int_bits ≤ fp_mantissa_bits + 1 (signed) or ≤ fp_mantissa_bits + 1 (unsigned) | fp_mantissa=23 (f32) or 52 (f64) | Proves safe integer-to-floating-point conversion | core/gwl-vm/src/thermo/informatic_stress.rs | Rust | ✅ | 62,63 | LAYER_D_INVARIANTS | thermodynamic_bind |
| 62 | 62 | Safe_Narrowing_Proof | Informatic Stress | can_safely_narrow(src_bits, signed, dst_mantissa) → bool | Delegates to exact cast check | Proves double→single precision narrowing is safe | core/gwl-vm/src/thermo/informatic_stress.rs | Rust | ✅ | 61,63 | LAYER_D_INVARIANTS | thermodynamic_bind |
| 63 | 63 | RISCV_Instruction_Latency | Informatic Stress | fdiv.d=33, fdiv.s=19 → penalty=0.737; fadd.d=4, fadd.s=4 → penalty=0.0 | SiFive P550 measurements | Per-instruction latency for dispatch scoring | core/gwl-vm/src/thermo/informatic_stress.rs | Rust | ✅ | 61,62 | LAYER_D_INVARIANTS | thermodynamic_bind |
| 64 | 64 | Photon_Energy | QCL Energy | E = hc/λ = 1.2398 / λ_μm [eV] | λ in μm | Wavelength-to-energy conversion | core/gwl-vm/src/thermo/qcl_energy_model.rs | Rust+Python | ✅ | 65,70 | LAYER_G_ENERGY | physical_bind |
| 65 | 65 | Subband_Spacing | QCL Energy | ΔE = E_upper - E_lower; E_upper=hc/λ_min, E_lower=hc/λ_max | QCL emission range [λ_min, λ_max] | Energy difference between subbands in conduction band | core/gwl-vm/src/thermo/qcl_energy_model.rs | Rust+Python | ✅ | 64,66,67 | LAYER_G_ENERGY | physical_bind |
| 66 | 66 | Cascade_Gain | QCL Energy | G = photons_per_e⁻ × n_wells; photons_per_e⁻ = ⌊E_electron / ΔE⌋ | E_electron=1.0 eV, n_wells=50 | Total photon amplification per cascading electron | core/gwl-vm/src/thermo/qcl_energy_model.rs | Rust+Python | ✅ | 65,67,68 | LAYER_G_ENERGY | physical_bind |
| 67 | 67 | Temperature_Tuning | QCL Energy | λ(T) = λ₀ + α · (T - T₀); α=5e-6 /K (GaAs/AlGaAs) | dλ/dT ≈ 0.3 nm/K | Wavelength shift due to thermal expansion of quantum wells | core/gwl-vm/src/thermo/qcl_energy_model.rs | Rust+Python | ✅ | 12,64,68 | LAYER_G_ENERGY | physical_bind |
| 68 | 68 | Injection_Efficiency | QCL Energy | η = (0.5 + window_bonus) · spacing_eff · (1 - stress_penalty); clamped to [0,1] | window_bonus=0.3 if in atmospheric window | Dispatch efficiency at given stress level | core/gwl-vm/src/thermo/qcl_energy_model.rs | Rust+Python | ✅ | 65,66,67,69 | LAYER_G_ENERGY | physical_bind |
| 69 | 69 | Atmospheric_Windows | QCL Energy | Windows: (3,5), (8,12), (16,20) μm; transmission=1.0 inside, exp(-dist·0.5) outside | MWIR, LWIR, Far-IR bands | Lossless carrier propagation bands | core/gwl-vm/src/thermo/qcl_energy_model.rs | Rust+Python | ✅ | 68,70 | LAYER_G_ENERGY | physical_bind |
| 70 | 70 | Tuning_Range | QCL Energy | ν = 10⁴/λ [cm⁻¹]; DFB: ±7.5 cm⁻¹, EC: ±200 cm⁻¹; λ_min=10⁴/ν_max, λ_max=10⁴/ν_min | Center wavelength, tuning mode | Spectral tuning capability | core/gwl-vm/src/thermo/qcl_energy_model.rs | Rust+Python | ✅ | 64,69 | LAYER_G_ENERGY | physical_bind |
| 71 | 71 | Mutual_Information_Signal | MI Signal | MI(x) = baseline_bpb(x) - actual_bpb(x) | Bits-per-byte difference | Measures structural density in data | core/intrinsic/formalisms/ene_mi_signal.py | Python | ✅ | 1,2,44,72,73 | LAYER_A_COMPRESSION | informational_bind |
| 72 | 72 | kNN_MI_Prediction | MI Signal | MI_pred = Σ_i (w_i · MI_i · S_i) / Σ_i (w_i · S_i); w_i = 1/(d_i + ε) | k-nearest neighbors in feature space | Local MI estimation from similar inputs | core/intrinsic/formalisms/ene_mi_signal.py | Python | ✅ | 71,73,74 | LAYER_B_ROUTING | informational_bind |
| 73 | 73 | Surprise_Metric | MI Signal | surprise = log(1 + |MI_actual - MI_predicted|) | Log-scaled absolute difference | Learning trigger; prevents blowup | core/intrinsic/formalisms/ene_mi_signal.py | Python | ✅ | 71,72,60 | LAYER_B_ROUTING | informational_bind |
| 74 | 74 | Structure_Yield | MI Signal | ρ(x) = MI(x) / (cost(x) + ε) | Information per compute cost | ROI of computation; high MI + low cost = valuable | core/intrinsic/formalisms/ene_mi_signal.py | Python | ✅ | 6,71,72 | LAYER_A_COMPRESSION | informational_bind |
| 75 | 75 | Weighted_Feature_Distance | MI Signal | d(z₁,z₂) = √Σ_i w_i · ((z₁_i - z₂_i) / s_i)² | 9-dim feature vector, learned weights, online scales | Scale-normalized weighted distance in MI feature space | core/intrinsic/formalisms/ene_mi_signal.py | Python | ✅ | 4,72 | LAYER_B_ROUTING | informational_bind |
| 76 | 76 | DAG_Force_Equilibrium | DAG Force | Σ F_in = Σ F_out at every node | Discrete analogue of ∇·σ = 0 | Structural synthesis force balance | core/PTOS_FRAMEWORK/PAPER/paper.tex | TeX | ✅ | 77,78 | LAYER_C_BRAID | geometric_bind |
| 77 | 77 | Constitutive_Law | DAG Force | σ = C : ε; ε = ½(∇u + ∇u^T) | C=stiffness tensor, u=displacement | Stress-strain relationship; linear elasticity | core/PTOS_FRAMEWORK/PAPER/paper.tex | TeX | ✅ | 76 | LAYER_C_BRAID | geometric_bind |
| 78 | 78 | DAG_Global_Validity | DAG Force | V(G) = ∧_{v∈V} (ΣF_in = ΣF_out) | Universal quantification over all nodes | DAG constraint closure; proof by induction | core/PTOS_FRAMEWORK/PAPER/paper.tex | TeX | ✅ | 37,76,77 | LAYER_C_BRAID | geometric_bind |
| 79 | 79 | Cosine_Similarity | Bracket Braid | cos = x · x_ref / (‖x‖ · ‖x_ref‖) | Dot product of normalized vectors | Reference solution alignment | audit/benchmarks/benchmark_bracket_braid_sb.py | Python | ✅ | 80 | LAYER_K_SIGNAL | geometric_bind |
| 80 | 80 | Gradient_Alignment | Bracket Braid | alignment = ∇g_i · ∇g_j / (‖∇g_i‖ · ‖∇g_j‖) | Cosine of gradient angle | Gradient coherence between brackets | audit/benchmarks/benchmark_bracket_braid_sb.py | Python | ✅ | 79,81 | LAYER_K_SIGNAL | geometric_bind |
| 81 | 81 | Phase_Accumulation | Bracket Braid | phase += Σ y · dx | Work integral along trajectory | Cumulative phase along computational path | audit/benchmarks/benchmark_bracket_braid_sb.py | Python | ✅ | 37,80 | LAYER_K_SIGNAL | geometric_bind |
| 82 | 82 | Metric_Tensor_From_Circumferences | GWL Riemannian Geometry | g_tt = M², g_tp = 0, g_pp = (N·cos(θ))²; a=C_eq/(2π), c=C_mer/(2π), f=(a-c)/a, e²=2f-f², N=a/√(1-e²sin²θ), M=a(1-e²)/(1-e²sin²θ)^(3/2) | C_eq=equatorial circumference, C_mer=meridional circumference, θ=latitude | Derive metric tensor from measured circumferences (oblate spheroid) | core/lean/geoweird/GWLKernel.lean | Lean | ✅ | 83,84,87 | LAYER_C_TOPOLOGY | geometric_bind |
| 83 | 83 | Line_Element | GWL Riemannian Geometry | ds² = g_tt·dθ² + 2·g_tp·dθ·dφ + g_pp·dφ² | g_ij=metric tensor, dθ/dφ=differentials | Compute infinitesimal distance on 2D Riemannian surface | core/lean/geoweird/GWLKernel.lean | Lean | ✅ | 82 | LAYER_C_TOPOLOGY | geometric_bind |
| 84 | 84 | Christoffel_Symbols_2D | GWL Connection | Gamma^k_ij = ½·g^kl·(∂_i g_jl + ∂_j g_il - ∂_l g_ij) | g=metric, gInv=inverse metric, dg=metric derivatives | Connection coefficients for geodesic integration | core/lean/geoweird/GWLKernel.lean | Lean | ✅ | 82,85 | LAYER_C_TOPOLOGY | geometric_bind |
| 85 | 85 | Geodesic_Step_Symplectic_Euler | GWL Geodesic Integration | a^θ = -(Gamma^θ_tt·v_θ² + 2·Gamma^θ_tp·v_θ·v_φ + Gamma^θ_pp·v_φ²); v' = v + a·dt; x' = x + v'·dt | position=(θ,φ), velocity=(v_θ,v_φ), Gamma=Christoffel, dt=step | Single-step geodesic integration (symplectic Euler) | core/lean/geoweird/GWLKernel.lean | Lean | ✅ | 83,84 | LAYER_C_TOPOLOGY | geometric_bind |
| 86 | 86 | Stereographic_Chart_Transition | GWL Coordinate Charts | u = 2·tan(θ/2)·cos(φ), v = 2·tan(θ/2)·sin(φ); θ = 2·atan(√(u²+v²)/2), φ = atan2(v,u); select when |cos(θ)| < 0.01 | theta, phi, u, v | Avoid pole singularities via adaptive coordinate chart | core/lean/geoweird/GWL_Integrated.lean | Lean | ✅ | 85 | LAYER_C_TOPOLOGY | geometric_bind |
| 87 | 87 | Chirality_Algebra | GWL Chiral Interaction | D+D→D, L+L→L, D+L→W(COLLAPSE→W); chiralityToTernary: D→Active, L→Active, W→Latent | Chirality∈{D,L,W}, GammaMode, TernaryState | Chirality propagation through Gamma transform operations | core/lean/geoweird/GWL_Integrated.lean | Lean | ✅ | LAYER_C_TOPOLOGY | LAYER_C_TOPOLOGY | geometric_bind |
| 88 | 88 | BLINK_GATE_Ternary_Clock | GWL Ternary State | φ = (τ mod T)/T, T=942/1000; ternary: φ<1/3→Q, φ<2/3→A, else L; φ' = (φ+1/4) mod 1 if surprise>threshold | τ=time, surprise, threshold, T=0.942s | Ternary clock action with phase modulation | core/lean/geoweird/GWLKernel.lean | Lean | ✅ | 90 | LAYER_C_TOPOLOGY | control_bind |
| 89 | 89 | Geodesic_Step_Verlet | GWL Geodesic Integration (Integrated) | Same acceleration as M85 + Verlet velocity update + chart transition check | integratorMethod∈{SymplecticEuler,Verlet,AdaptiveVerlet} | Real geodesic integration with pole singularity handling | core/lean/geoweird/GWL_Integrated.lean | Lean | ✅ | 84,85,86 | LAYER_C_TOPOLOGY | geometric_bind |
| 90 | 90 | Waveprobe_Risk_Function | Waveprobe Control | risk(s) = (1 + γ·(1-cos(θ)))/d² + η·h; γ=3, η=0.8 | d=distance, θ=torsion angle, h=heat | Combined risk metric for hysteretic control | core/lean/geoweird/WaveprobeKernel.lean | Lean | ✅ | 91,92 | LAYER_F_CONTROL | control_bind |
| 91 | 91 | Waveprobe_Heat_Evolution | Waveprobe Control | h' = α·h + β·a; α=0.95, β=0.2 | h=heat, a=excitation value (E1=1,E2=2,E3=3,E4=4) | Heat accumulation with exponential decay | core/lean/geoweird/WaveprobeKernel.lean | Lean | ✅ | 90 | LAYER_F_CONTROL | control_bind |
| 92 | 92 | Waveprobe_Mode_Hysteresis | Waveprobe Control | locked→caution if risk<B_recover=2; caution→locked if risk≥B_lock=5; normal→caution if risk≥B_warn=3 | B_recover=2, B_warn=3, B_lock=5 | Hysteretic mode transitions with risk barriers | core/lean/geoweird/WaveprobeKernel.lean | Lean | ✅ | 90 | LAYER_F_CONTROL | control_bind |
| 93 | 94 | Universe_Collision_Consensus | Emergence System | canCollide: dim_a==dim_b AND type_a!=type_b; strength=min(vol_a,vol_b)/vol_intersection; invariant: κ_a·κ_b>0→SphereLike, <0→HyperbolicLike | two universes with manifolds, types, axioms | Compute intersection of computational universes for witness generation | core/lean/geoweird/EmergenceSystem.lean | Lean | ✅ | 93 | LAYER_E_VERIFICATION | control_bind |
| 94 | 95 | Shannon_Type_Entropy_Swarm | Swarm Coordination | H = -Σ(p_i·log₂(p_i)) where p_i=w_i/Σw; confidence update: reinforced=min(conf+0.1,1.0), decayed=conf·0.95 | learned types, weights, confidence threshold=0.8 | Measure uncertainty in agent's universe type assignment | core/lean/geoweird/SwarmCoordination.lean | Lean | ✅ | 94 | LAYER_B_ROUTING | control_bind |
| 95 | 96 | Mean_Curvature_From_Constraints | Constraint Geometry | kappa = (cyclicRatio - treeRatio)·2.0; range [-2,2] | cyclicRatio=count(Cyclic)/total, treeRatio=count(Hierarchical)/total | Estimate curvature from constraint topology | core/lean/geoweird/ConstraintGeometry.lean | Lean | ✅ | 97 | LAYER_C_TOPOLOGY | geometric_bind |
| 96 | 97 | Universe_Type_Scoring | Constraint Geometry | scoreEuclidean=flatness+translation+noTime+linearGrowth; scoreHyperbolic=negativeCurve+exponential+treeLike; scoreSpherical=positiveCurve+compact+rotation; scoreLorentzian=time+causal+mixedMetric; each capped at 1.0 | constraint features (curvature, symmetry, causality, etc.) | Score how well each universe type fits domain constraints | core/lean/geoweird/ConstraintGeometry.lean | Lean | ✅ | 96 | LAYER_C_TOPOLOGY | geometric_bind |
| 97 | 98 | Homeostatic_Pressure_Dynamics | Homeostatic Control | s_t = α·surprise_t + β·regret_t; p_{t+1} = γ·p_t + s_t; surprise=-log(P_actual); regret=max(0,log(P_optimal)-log(P_actual)) | p=pressure, λ=canal width, s=stress, γ=decay∈(0,1), α,β weights | Pressure-driven exploration-exploitation control | docs/HOMEOSTATIC_CONTROL_SPEC.tex | LaTeX | ✅ | 99,100 | LAYER_B_ROUTING | control_bind |
| 98 | 99 | Canal_Deformation | Homeostatic Control | λ_t = λ₀·(σ + (1-σ)·e^{-ξ·p_t}); λ_t ∈ [λ₀·σ, λ₀] | λ₀=base canal width, σ∈(0,1)=min fraction, ξ=sensitivity | Adaptive selectivity controlled by pressure | docs/HOMEOSTATIC_CONTROL_SPEC.tex | LaTeX | ✅ | 98 | LAYER_B_ROUTING | control_bind |
| 99 | 100 | Decision_Reweighting_Homeostatic | Homeostatic Control | score_t = log(P_expected) - λ_t·s_t | λ_t from canal deformation, s_t=stress | Reduce penalty on high-stress paths when pressure rises | docs/HOMEOSTATIC_CONTROL_SPEC.tex | LaTeX | ✅ | 98,99 | LAYER_B_ROUTING | control_bind |
| 100 | 101 | Homeostatic_Equilibrium | Homeostatic Control | (1-γ)·p* = s(p*); stability: |γ + s'(p*)| < 1 | p*=fixed point, γ=decay, s'=stress derivative | Stability condition for homeostatic fixed point | docs/HOMEOSTATIC_CONTROL_SPEC.tex | LaTeX | ✅ | 98 | LAYER_B_ROUTING | control_bind |
| 101 | 102 | Tree Fiddy | Combinatorial Analysis | L_max(k) = TREE(k) where k=3 | k=labels, L_max=maximum sequence length | Theoretical upper bound for tree sequences under homeomorphic embedding; state space pruning shortcut via Kruskal's theorem | docs/semantics/TREE_FIDDY.md | Lean | ✅ | 30,32,33,95 | LAYER_D_INVARIANTS | geometric_bind |
| 102 | 103 | BHOCS | Bounded Hierarchical Cryptographic Space | depth ≤ TREE(3); OuterMMR = H(InnerMMR.hash || InnerMMR.summary); NUVMAP = (u,v) = (distance·1000, spectral_index) | depth=nesting depth, InnerMMR=orthogonal basis, OuterMMR=nested commitment, NUVMAP=compressed projection | Bounded hierarchical orthogonal cryptographic space via Tree Fiddy × MMR-on-MMR × NUVMAP crossbreed; finite but unbounded verifiable hierarchy; GCL fractal fold surface support via nested MMR hierarchy | docs/semantics/BHOCS.md | Lean | ✅ | 102,112,113,637,638,639,640,641,642,643,644,645,646,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230 | LAYER_D_INVARIANTS | geometric_bind |
| 103 | 102 | Hutter_Shape_Equation | Information Theory | H(W) = H₀ - I_local - I_structural - I_semantic - I_syntactic - I_cross; H₀=8.0, H(W)≈0.92 bpb (115 MB); I(W)=ΣI_k≈7.08 bpb | H₀=uniform baseline (8 bpb), I_k=mutual information wedges per layer | Hierarchical entropy decomposition for compression | docs/geometry/HUTTER_SHAPE_EQUATION.md | Documented | ✅ | 103 | LAYER_A_COMPRESSION | informational_bind |
| 104 | 103 | Hutter_Manifold_Deformation | Information Theory | Δ_t = M_{t+1} - M_t; v(x,t) = Φ_{t+1}(x) - Φ_t(x); H(x,t)=‖v(x,t)‖²; ε=½(∇v+(∇v)^T) | M_t=manifold state at release t, Φ_t=embedding, v=velocity, ε=strain | Model Hutter corpus evolution as tensor field deformation | docs/roadmap/HUTTER_MANIFOLD_DYNAMICS.md | Documented | ✅ | 102,104 | LAYER_J_DYNAMICS | informational_bind |
| 105 | 104 | SHA256_Field_Equations | Information Theory | Δ_manifold = μ_{t+1} - μ_t; ΔΣ = Σ_{t+1} - Σ_t; SHA256(μ_t‖Σ_t) → chain_hash; chunk_residual = f - μ_t | μ_t=manifold mean, Σ_t=covariance, f=chunk feature | Track Wikipedia knowledge evolution as hash-chained manifold deltas | docs/roadmap/SHA256_FIELD_EQUATIONS.md | Documented | ✅ | 102,103 | LAYER_J_DYNAMICS | informational_bind |
| 106 | 105 | Dyson_Swarm_Geodesic_Equation | Dyson Swarm Geodesics | d²x^μ/dτ² + Gamma^μ_νλ(dx^ν/dτ)(dx^λ/dτ) = η^μ(τ); <η^μ(τ)η^ν(τ')> = 2D·δ^μν·δ(τ-τ') | x^μ=position in data space, Q=QUBO matrix, Gamma=Christoffel, η=thermal noise | Model carrier state waves as geodesics on QUBO-derived data manifold | docs/geometry/DYSON_SWARM_GEODESIC_EQUATIONS_2026-04-09.md | Documented | ✅ | 84,85,106 | LAYER_C_TOPOLOGY | geometric_bind |
| 107 | 106 | Metric_From_QUBO_Hessian | Dyson Swarm Geodesics | g_μν(x) = δ_μν + α·∂²E/∂x^μ∂x^ν = δ_μν + α·Q_μν | Q=QUBO matrix, α=scaling, δ=Kronecker delta | Define Riemannian metric from QUBO energy landscape | docs/geometry/DYSON_SWARM_GEODESIC_EQUATIONS_2026-04-09.md | Documented | ✅ | 105 | LAYER_C_TOPOLOGY | geometric_bind |
| 108 | 107 | Langevin_Geodesic_Damping | Dyson Swarm Geodesics | d²x^μ/dτ² + Gamma^μ_νλ(dx^ν/dτ)(dx^λ/dτ) = -γ(dx^μ/dτ) + √(2D)·ξ^μ(τ) | γ=damping coefficient, D=diffusion, ξ=Gaussian white noise | Damped stochastic geodesic with thermal friction | docs/geometry/DYSON_SWARM_GEODESIC_EQUATIONS_2026-04-09.md | Documented | ✅ | 105 | LAYER_C_TOPOLOGY | geometric_bind |
| 109 | 108 | Alcubierre_Information_Metric | Virtual Alcubierre | dI² = -dτ² + (dH - β·dτ)²; β = v_eff·f·Ω; v_eff = v_local/(1-φ) | τ=proper time, H=entropy, β=shift vector, φ=foam score, Ω=opcode coupling | Information-theoretic model for search acceleration via negative curvature | docs/geometry/Virtual_Alcubierre_Information_Metric_Proof.md | Documented | ✅ | 83,98 | LAYER_G_ENERGY | geometric_bind |
| 110 | 110 | Ray_Casting_Braid_Step | Braid Topology | R(s) = G_new + s·d⃗; collision: ‖R(s) - P_j‖ < T; D_topo = ∫_L σ(s)·P(s) ds | G_new=new point, d⃗=direction, P_j=existing peak, T=threshold, σ=coherence, P=purity | Geometric parent selection for Merkle braiding via raycasting | docs/formal_spec/RAYCAST_MMR_BRAID_TOPOLOGY.md | Documented | ✅ | 111,112 | LAYER_C_BRAID | geometric_bind |
| 111 | 111 | Fast_Inverse_Square_Root | Braid Topology | 0x5f3759df bit-hack for 1/d calculation; DIAT constraint: y_inv·y_sqrt ≈ C² where C=2^{16} | k=index, y_inv=1/√k, y_sqrt=√k, 16.16 fixed-point | Near-constant-time intersection calculation | docs/formal_spec/THETA_TAN_RAYCAST_AMMR.md | Documented | ✅ | 110 | LAYER_C_BRAID | geometric_bind |
| 112 | 112 | UVMAP_Projection | Braid Topology | 32-bit packed texel: (v<<16)|u; U-axis: distance-based albedo (t×1000); V-axis: spectral frequency index (k from DIAT) | t=distance, k=frequency index | Encode raycast intersections for stochastic UV map rendering | docs/formal_spec/THETA_TAN_RAYCAST_AMMR.md | Documented | ✅ | 110 | LAYER_C_BRAID | geometric_bind |
| 113 | 113 | Boltzmann_Transport_Equation_ThetaTaN | Theta-TaN Phonon Physics | κ_ph^{αβ} = (1/V)·Σ_{pq} C_V(pq)·v_{pq}^α·F_{pq}^β; C_V(pq)=ℏω·∂n₀/∂T; v_{pq}^α=∂ω/∂q_α | C_V=mode heat capacity, v=phonon group velocity, F=mean free displacement | Model lattice thermal conductivity in θ-phase TaN via phonon BTE | docs/formal_spec/THETA_TAN_RAYCAST_AMMR.md | Documented | ✅ | 114 | LAYER_G_ENERGY | physical_bind |
| 114 | 114 | Phonon_Scattering_Matrix | Theta-TaN Phonon Physics | τ_{pq}^{-1} = τ_{3ph}^{-1} + τ_{4ph}^{-1} + τ_{ph-iso}^{-1} + τ_{ph-el}^{-1} | 3-phonon, 4-phonon, isotope, electron-phonon scattering channels | Total phonon scattering rate as sum of independent channels | docs/formal_spec/THETA_TAN_RAYCAST_AMMR.md | Documented | ✅ | 113 | LAYER_G_ENERGY | physical_bind |
| 115 | 115 | Tensor_Field_QUBO | Non-Euclidean UV QUBO | F_u = -stress_xx·du - stress_xy·dv, F_v = -stress_yx·du - stress_yy·dv; wave = amplitude·e^{-dist·0.1}·cos(phase+dist); spin_i = 1 if wave>0 else 0 | tensor=[stress_xx,stress_xy,stress_yx,stress_yy] per grid point | Map QUBO to tensor field with wave-like carrier propagation | audit/benchmarks/benchmark_tensor_carrier.rs | Rust | ✅ | 116,117 | LAYER_C_TOPOLOGY | geometric_bind |
| 116 | 116 | Non_Euclidean_UV_Distance | Non-Euclidean UV QUBO | Hyperbolic (Poincare): d = acosh(1 + 2·|p1-p2|²/((1-|p1|²)(1-|p2|²))); Spherical: d = acos(dot(p1,p2)); energy uses non-Euclidean distance | UV points, geometry type∈{Euclidean,Hyperbolic,Spherical} | Map QUBO to non-Euclidean surface where frustration=curvature | audit/benchmarks/benchmark_non_euclidean_uv.rs | Rust | ✅ | 15,115 | LAYER_C_TOPOLOGY | geometric_bind |
| 117 | 117 | PGA_Cl301_NFold_Mechanics | Geometric Algebra | 16D algebra: scalar(1)+vector(4)+bivector(6)+trivector(4)+pseudoscalar(1); B_i=I·e_i; SE(3) motor: M=R+ε(½·t·R); CFA: h_i^{l+1}=h_i^l+Σ_j M_{ij}^l·h_j^l·M_{ji}^l | PGA multivectors, motors, curvature κ, torsion τ | Unified framework for protein structures using projective geometric algebra | docs/geometry/GEOMETRIC_FIRST_LANGUAGE_Protein_NFold_Mechanics.md | Documented | ✅ | 84,96,105 | LAYER_H_ALGEBRA | geometric_bind |
| 118 | 118 | Sine_Gordon_Equation | Geometric Algebra | d²θ/dt² - c²·d²θ/ds² + (m²c⁴/ℏ²)·sin(θ) = 0 | θ=phase, c=wave speed, m=mass, ℏ=reduced Planck constant | Soliton dynamics in protein backbone | docs/geometry/GEOMETRIC_FIRST_LANGUAGE_Protein_NFold_Mechanics.md | Documented | ✅ | 117 | LAYER_H_ALGEBRA | geometric_bind |
| 119 | 119 | Curvature_Torsion_Coupling_NFold | Geometric Algebra | κ_n = f(κ_{n-1}, τ_{n-1}, S_n), τ_n = g(κ_n, τ_{n-1}, S_n); Γ^λ_{μν} = {Levi-Civita}^λ_{μν} + K^λ_{μν} (contortion) | κ=curvature, τ=torsion, S_n=substrate properties, K=contortion tensor | Curvature-torsion coupling in N-fold mechanics | docs/geometry/GEOMETRIC_FIRST_LANGUAGE_Protein_NFold_Mechanics.md | Documented | ✅ | 117 | LAYER_H_ALGEBRA | geometric_bind |
| 120 | 120 | Hormone_Half_Life_to_Decay_Rate | Hormone Derivation | remaining = 2^{-t_sec/(T_half_min·60)}; decay_rate = 1 - remaining; Ebbinghaus: R(t) = e^{-t/S} where S = T_half/ln(2) | T_half=biological half-life (min), pulse_interval_sec=10.0 | Convert biological half-life to computational decay rate | lab/hormone_derivation.py | Python | ✅ | 98,59 | LAYER_B_ROUTING | control_bind |
| 121 | 121 | Logit_Z_Normalization | Hormone Derivation | logit(x) = log(x/(1-x)); z = (logit(x) - mean_logit) / std_logit | x∈[0,1], mean_logit, std_logit from calibration | Transform bounded concentration to z-score | lab/hormone_derivation.py | Python | ✅ | 120 | LAYER_B_ROUTING | control_bind |
| 122 | 122 | Dynamic_Amplification_Factor | FEA Semi-Truck | DAF = 1.0 + braking_factor·0.5 (1.0-1.5); load_steer = base_load·DAF; load_drive = base_load·(1-braking·0.2); patch area = load/tire_pressure | GVWR, axle loads, tire pressure, braking factor | Moving load simulation with dynamic amplification | lab/physics_fea/semi_truck_physics.py | Python | ✅ | LAYER_L_APPLICATION | LAYER_L_APPLICATION | physical_bind |
| 123 | 123 | Voxel_Key_Encoding | Heerich Voxel | key = ((x+512)&0x3FF)<<20 | ((y+512)&0x3FF)<<10 | ((z+512)&0x3FF); inverse: decode bit fields; range [-512,511] per axis, 30-bit | x,y,z integers | Fast 30-bit integer address for n-space positions | tools/heerich_model.py | Python | ✅ | 124 | LAYER_I_ENCODING | geometric_bind |
| 124 | 124 | Microvoxel_Seed_4Byte_Encoding | Microvoxel Seed | 32-bit: delta_p[9:0]|region[13:10]|gamma[18:14]|activation[22:19]|polarity[26:23]|confidence[30:27]|flag[31]; switch: eff<0.8→EXCLUDE, <1.2→EXPLORE, ≥1.2→PROMOTE | delta_p, region, gamma, activation, polarity, confidence | Compressed self-evolving program via ternary switch encoding | lab/microvoxel_seed_self_evolving_encoder.py | Python | ✅ | 1,123 | LAYER_I_ENCODING | control_bind |
| 125 | 125 | DCVN_Verification_Invariant_Survival | DCVN Verification | 4 invariants: completeness(c), consistency(s), freshness(f), provenance(p); survival mask: bit set if value≥threshold; participation: 4→FULL(1.0), ≥2→PARTIAL(0.5), ≥1→OBSERVER(0.1), 0→ABSENT(0.0); variance=var([c,s,f,p])/4 | c,s,f,p∈[0,1], thresholds | Graduated participation based on invariant health in verification swarm | lab/consensus_net/verification_core.py | Python | ✅ | 10,11 | LAYER_E_VERIFICATION | control_bind |
| 126 | 126 | Watanabe_Total_Correlation | Tensor Field Analysis | TC = ΣH(X_i) - H(X_1,...,X_n); KSG estimator for MI; Kolmogorov: len(compressed)/len(original); formula complexity: 0.4·kolmogorov + 0.4·entropy/8 + 0.2·CV | feature vectors, variant formulas, Hutter submission data | Rigorous tensor field analysis of Hutter variants | lab/hutter/tensor_field_analysis_rigorous.py | Python | ✅ | 102,103 | LAYER_A_COMPRESSION | informational_bind |
| 127 | 127 | Neural_Delta_GCL_Field_Equation | Compression | x = DeltaGCL(m); q_θ(z|x) = N(μ_θ(x), diag(σ²_θ(x))); z = μ_θ(x) + σ_θ(x) ⊙ ε, ε~N(0,I); x̂ = g_φ(z); L = D(x,x̂) + β·KL(q_θ(z|x)||N(0,I)); R_total = R_ΔGCL·R_neural | m=raw metadata, x=Delta GCL compressed, z=latent (64-dim), f_θ=VAE encoder, g_φ=decoder, D=reconstruction loss, KL=KL divergence, β=1e-3, R_ΔGCL∈[0.01,0.08], R_neural∈[0.3,0.5] | Canonical VAE-style neural compression on Delta GCL; encoder regularized toward standard normal prior; safety: verify x̂≈x and DeltaGCLDecode(x̂) preserves invariant before commit; Delta GCL=lawful base codec, neural=learned transport compressor, verifier=semantic authority | docs/papers/NEURAL_COMPRESSION_ON_DELTA_GCL.md | Documented | ✅ | 127 | LAYER_A_COMPRESSION | informational_bind |
| 128 | 128 | Riemann_Zeta_Pair_Correlation | Number Theory | R₂(x) = 1 − (sin(πx)/(πx))² | R₂=pair correlation, x=normalized spacing | Montgomery-Odlyzko law: Riemann zeta zero spacings correspond to GUE eigenvalue spacings; verified to billions of zeros | docs/math/cross_domain_structures.md | Documented | ✅ | 128 | LAYER_A_COMPRESSION | informational_bind |
| 129 | 129 | Zeta_As_Partition_Function | Statistical Mechanics | ζ(s) = Σ_{n=1}^∞ n^{-s} ↔ Z(β) = Σ_n e^{-βE_n} | s=complex variable, β=inverse temperature, E_n=energy levels | Analytic number theory ↔ equilibrium statistical mechanics; Bost-Connes model; phase transition at β=1 mirrors pole at s=1 | docs/math/cross_domain_structures.md | Documented | ✅ | 129 | LAYER_G_ENERGY | thermodynamic_bind |
| 130 | 130 | Gutzwiller_Trace_Formula | Quantum Chaos | d(E) = d̄(E) + (1/πℏ) Σ_p Σ_{r=1}^∞ (A_{p,r}/√|det(M_p^r − I)|) cos(rS_p(E)/ℏ − rμπ_p/2) | d=density of states, E=energy, ℏ=Planck constant, p=periodic orbit, r=repetition, A=amplitude, M=monodromy, S=action, μ=Maslov index | Bridges classical periodic orbits to quantum spectral properties; structural parallel to explicit formula of prime number theory; motivates Hilbert-Pólya conjecture | docs/math/cross_domain_structures.md | Documented | ✅ | 130 | LAYER_C_TOPOLOGY | geometric_bind |
| 131 | 131 | Explicit_Formula_Prime_Number | Number Theory | ψ(x) = x − Σ_ρ x^ρ/ρ − log(2π) − 1/2 log(1−x^{−2}) | ψ=Chebyshev function, x=real variable, ρ=Riemann zeta zeros | Explicit formula of prime number theory; structural parallel to Gutzwiller trace formula; connects quantum chaos to additive number theory | docs/math/cross_domain_structures.md | Documented | ✅ | 131 | LAYER_A_COMPRESSION | informational_bind |
| 132 | 132 | Heat_Equation | Physics | ∂T/∂t = α ∇²T | T=temperature, t=time, α=thermal diffusivity, ∇²=Laplacian | Caloric theory of heat (superseded) but equation remains valid; demonstrates persistence of mathematical structure despite physical theory replacement | docs/math/cross_domain_structures.md | Documented | ✅ | 132 | LAYER_G_ENERGY | physical_bind |
| 133 | 133 | Wave_Equation | Physics | ∇²E - (1/c²)∂²E/∂t² = 0 | E=electric field, c=speed of light, ∇²=Laplacian, t=time | Luminiferous ether theory (superseded) but equation remains valid; demonstrates persistence of mathematical structure despite physical theory replacement | docs/math/cross_domain_structures.md | Documented | ✅ | 133 | LAYER_C_TOPOLOGY | geometric_bind |
| 134 | 134 | Euler_Divergent_Series | Number Theory | 1 + 2 + 3 + 4 + ... = -1/12 | ζ(-1) = -1/12 via analytic continuation | Heuristic result validated through string theory and Casimir effect; exemplifies paramathematical mathematics that obeys physical laws despite appearing "wrong" | docs/math/cross_domain_structures.md | Documented | ✅ | 134 | LAYER_A_COMPRESSION | informational_bind |
| 135 | 135 | P_Adic_Metric | Number Theory | |x + y|_p ≤ max(|x|_p, |y|_p) | |x|_p=p-adic absolute value, p=prime | Non-Archimedean metric for Planck-scale physics; strong triangle inequality; enables adelic formulations bridging real and p-adic worlds | docs/math/cross_domain_structures.md | Documented | ✅ | 135 | LAYER_D_INVARIANTS | geometric_bind |
| 136 | 127 | Relation_Sieve_5_Symbol | Cache Sieve | pack 5 2-bit symbols into 10-bit: sig=(T<<8)|(D<<6)|(C<<4)|(A<<2)|R; torsion: value<t0→00,<t1→01,<t2→10,else 11; coherence inverted: ≥c2→00,≥c1→01,≥c0→10,else 11; classify: REJECT if T=11,A=11,C=11,(T≥10&C≥10),(D=11&A≥10),(R=11&C≥10); HOLD if any=10 or C∈{01,10}; else PASS | T=torsion, D=drift, C=coherence, A=angular momentum, R=radius | Structural classification of cache manifolds into PASS/HOLD/REJECT | tools/cache_sieve_exploration.py | Python | ✅ | 115,128 | LAYER_D_INVARIANTS | control_bind |
| 137 | 128 | Proxy_Extraction_From_Manifold | Cache Sieve | torsion = Σ|τ_i|(i<32)·100; drift = |φ_corr|·255; coherence = 255-torsion; angmom from geometry plugin; radius = |radius-1.0|·255 | τ=torsion gradient samples, φ_corr=correlation | Manifold features to discrete scalars | tools/cache_sieve_exploration.py | Python | ✅ | 127 | LAYER_D_INVARIANTS | control_bind |
| 138 | 130 | Recursive_Structure | HyperFabric | P_{m+1} = R(P_m) ∩ C_m | R=refinement operator, C_m=cooling constraint | Hierarchical structure refinement with constraint filtering | tools/lean/Semantics/Semantics/HachimojiPipeline.lean | Lean | ✅ | 129 | LAYER_C_TOPOLOGY | geometric_bind |
| 139 | 132 | Loss_Function | Update_Rule | L = λ₁ N_unresolved + λ₂ N_revisited + λ₃ N_degenerate + λ₄ T_update | λ=weights, N=counts, T=time | Optimization objective for search process | tools/lean/Semantics/Semantics/HachimojiPipeline.lean | Lean | ✅ | 130 | LAYER_B_ROUTING | informational_bind |
| 140 | 133 | Continuity_Equation | Tetris_Manifold | ∂_t ρ + ∇·(ρv) = 0 | ρ=density, v=velocity | Mass conservation in fluid-like systems | tools/lean/Semantics/Semantics/HachimojiPipeline.lean | Lean | ✅ | 134 | LAYER_C_TOPOLOGY | physical_bind |
| 141 | 134 | Momentum_Balance | Tetris_Manifold | ρ(∂_t v + v·∇v) = -∇p + ∇·σ - ρ∇G + f_align | ρ=density, v=velocity, p=pressure, σ=stress, G=potential, f_align=alignment force | Newton's second law for continuum mechanics | tools/lean/Semantics/Semantics/HachimojiPipeline.lean | Lean | ✅ | 133,135 | LAYER_C_TOPOLOGY | physical_bind |
| 142 | 136 | Nutrient_State | Update_Rule | N = (N_local, N_indexed, N_committed), decay_rate | Three-tier nutrient: local (fast weak), indexed (stronger reusable), committed (slow reserve) | Resource allocation with temporal hierarchy | tools/lean/Semantics/Semantics/HachimojiPipeline.lean | Lean | ✅ | 137,138 | LAYER_B_ROUTING | control_bind |
| 143 | 137 | Nutrient_Gain_Law | Update_Rule | ΔN = α₁ U_crc + α₂ U_btree + α₃ U_ammr | α=weights, U=utility from CRC, B-tree, AMMR support | Nutrient accumulation from validated success | tools/lean/Semantics/Semantics/HachimojiPipeline.lean | Lean | ✅ | 136,138 | LAYER_B_ROUTING | control_bind |
| 144 | 138 | Nutrient_Decay_Law | Update_Rule | N(t+1) = (1-λ)N(t) - cost, λ_C < λ_I < λ_L | λ=decay rate, cost=signaling/duty expenditure | Structural shedding/pruning like leaves falling from branches | tools/lean/Semantics/Semantics/HachimojiPipeline.lean | Lean | ✅ | 136,137 | LAYER_B_ROUTING | control_bind |
| 145 | 139 | Total_Stress_Tensor | HyperFabric | Σ = Σ_phase + Σ_elastic + Σ_torsional + Σ_locking | Σ_phase=phase stress, Σ_elastic=fold-back stress, Σ_torsional=torsion stress, Σ_locking=interlocking stress | Combined stress from multiple sources in field dynamics | tools/lean/Semantics/Semantics/HachimojiPipeline.lean | Lean | ✅ | 129 | LAYER_G_ENERGY | physical_bind |
| 146 | 140 | Energy_Dissipation_Rate | HyperFabric | dF/dt = (F_current - F_previous)/dt | F=energy, dt=time step | Rate of energy decrease; dF/dt ≤ 0 for dissipative systems | tools/lean/Semantics/Semantics/HachimojiPipeline.lean | Lean | ✅ | 139 | LAYER_G_ENERGY | thermodynamic_bind |
| 147 | 129 | SEISMIC_Shell_Detection | Topological Encoder | 0.35 ≤ φ_corr < 0.47; PHI-offset retry: φ_offset = φ_corr·PHI mod 1.0; SHA256 pattern hash: phi_weighted_profile[i]=τ_i·PHI^{-i/100}; hash=SHA256(φ_corr:path_length:Σphi_weighted_profile); orientation=(φ_corr·PHI) mod 2π | φ_corr, τ=torsion, PHI=golden ratio | Detect SEISMIC torsion shells for "The Wall" construction | tools/topological_encoder.py | Python | ✅ | 19,37 | LAYER_I_ENCODING | geometric_bind |
| 148 | 130 | Half_Mobius_Closure_Integral | Topological Encoder | ∮τ·ds = π; solve: accumulated = Σ(τ_i·step_size); return path_length s when accumulated ≥ π | τ=torsion gradient samples, step_size, φ_corr=correlation | Half-twist closure condition for topologically stable wall | tools/topological_encoder.py | Python | ✅ | 41,129 | LAYER_C_BRAID | geometric_bind |
| 149 | 131 | Regret_Field_Blink_Cycle | KDA Control | R_magnitude = surprise·(predicted_bpb - actual_bpb)/actual_bpb; blink_duration = baseline_ms + (regret_ms - baseline_ms)·R_magnitude ∈ [500ms,700ms]; decay: R *= e^{-λ·dt}, λ=2.0 | surprise, predicted/actual bpb, blink baseline/regret, decay lambda | Adaptive blink cycle control via regret field magnitude | lab/CONCEPT_STAGE/2_KDA_Control_Kernel_Source.py | Python | ✅ | 88,90,25 | LAYER_F_CONTROL | control_bind |
| 150 | 132 | Hugoniot_Shock_Physics | KDA Control | Rankine-Hugoniot relations: T-P relationship for shock compression; transient vs equilibrium temperature; E_kinetic = ½·I·ω² (plasma flywheel); E_harvested = E_stored·efficiency | Pressure(GPa), temperature(K), moment of inertia, RPM | Thermodynamic state computation for plasma substrate | lab/CONCEPT_STAGE/2_KDA_Control_Kernel_Source.py | Python | ✅ | 25,98 | LAYER_F_CONTROL | control_bind |
| 151 | 133 | Waveprobe_Binning_Functions | Waveprobe Control | binDistance: d<0.5→near(0), d<1→mid(1), else far(2); binTorsion: |sin(θ)|<1/3→aligned(0), <2/3→skewed(1), else twisted(2); binHeat: h<2→cool(0), h<5→warm(1), else hot(2) | d=distance, θ=torsion angle, h=heat | 3-category binning for LUT policy indexing | core/lean/geoweird/WaveprobeKernel.lean | Lean | ✅ | 90 | LAYER_F_CONTROL | control_bind |
| 152 | 134 | Waveprobe_LUT_Policy | Waveprobe Control | baseLUT: 3×3×3 lookup mapping (distBin,torsionBin,heatBin)→Excitation; applyMode: normal=pass, caution=cap E2, locked=force E1; nextMode: hysteretic transitions by risk vs B_recover/B_warn/B_lock | 3 bins × 3 bins × 3 bins = 27 entries | Base control policy with mode override | core/lean/geoweird/WaveprobeKernel.lean | Lean | ✅ | 90,133 | LAYER_F_CONTROL | control_bind |
| 153 | 135 | Parallel_Transport_Writhe | Non-Euclidean Geometry | project to oblique 2D: (x+z·cos(π/4)·0.5, y+z·cos(π/4)·0.5); deltas=consecutive differences; wr = Σ(ax·by - ay·bx)/(n-1) | history of nd_points, window W=16, dox=doy=cos(π/4)·0.5 | Parallel-transport writhe in curved PCA manifold | tools/geometry_noneuclidean.py | Python | ✅ | 35,51 | LAYER_C_TOPOLOGY | geometric_bind |
| 154 | 136 | NE_Path_Validation | Geometry Verifier | PHI-weighted distance: d = √(Σ w_i·(a_i-b_i)²) where w_i=PHI^{-i}; metric continuity: max_jump>5.0→fail; writhe bound: |writhe|>2.0→fail; parallel transport: |sim-prev_sim|>1.5→instability | 14D concept vectors, PHI weights, path points | Validate paths through non-Euclidean concept space | tools/geometry_verifier.py | Python | ✅ | 37,51,135 | LAYER_C_TOPOLOGY | geometric_bind |
| 155 | 137 | Hormone_Concentration_Normalization | Hormone Derivation | normalized = (value - species_min)/(species_max - species_min); modulation = effect_size·(1 - CV_species); CV = std/mean across species | concentration values, species min/max, effect sizes, cross-species variance | Normalize biological concentrations to computational 0-1 range | lab/hormone_derivation.py | Python | ✅ | 120 | LAYER_B_ROUTING | control_bind |
| 156 | 138 | Thermal_Finality_BEA | BEA Thermo Bridge | confidence = min(bea_confidence + avg_irreversibility/n, 1.0); time_to_reverse = exp(total_irreversibility·100); weight = work_done/(1+entropy)·(1-0.5·irreversibility) | bea_confidence, irreversibility array, work_done, entropy | Integrate thermodynamic process tracking with BEA consensus | core/gwl-vm/src/thermo/bea_thermo_bridge.rs | Rust | ✅ | 21,11,27 | LAYER_E_VERIFICATION | thermodynamic_bind |
| 157 | 139 | Entropy_Generation_Rate_Informatic | Informatic Stress | dS/dt = power_dissipation/(k_B·T·ln(2)) [bits/s]; k_B=8.617e-5 eV/K; LANDAUER_LIMIT_300K=2.87e-21 J/bit | power_dissipation, temperature, Boltzmann constant | Rate of entropy generation from computational dissipation | core/gwl-vm/src/thermo/informatic_stress.rs | Rust | ✅ | 55,14,54 | LAYER_G_ENERGY | thermodynamic_bind |
| 158 | 140 | Remaining_Useful_Life_Prediction | Informatic Stress | RUL = MTBF/(AF·(1+fatigue·0.01+thermal_fatigue·0.1)); MTBF=10^9/FIT_rate; AF=Arrhenius acceleration factor | MTBF, acceleration factor, fatigue, thermal fatigue | Hardware lifetime prediction under current stress | core/gwl-vm/src/thermo/informatic_stress.rs | Rust | ✅ | 51,52,53,56,57,58 | LAYER_G_ENERGY | thermodynamic_bind |
| 159 | 141 | PBACS_1bit_Transport | PBACS Signal | b_t = 1[v_t + e_{t-1} > θ_t]; e_t = v_t + e_{t-1} - b_t | v_t=input, e_t=error accumulator, θ_t=threshold | 1-bit noise-shaped encoding with error feedback | docs/semantics/PBACS_CANONICAL_SIGNAL_ARCHITECTURE.md | Spec | ✅ | 142,143,144,145 | LAYER_K_SIGNAL | control_bind |
| 160 | 142 | PBACS_Phi_Traversal | PBACS Signal | Φ_{t+1} = Φ_t + 106070 (mod 2^32); idx = (Φ_t >> n) ⊕ MSB_flip | Φ=accumulator, 106070=φ·2^16, MSB=mirror bit | Deterministic φ-based scheduling for uniform coverage | docs/semantics/PBACS_CANONICAL_SIGNAL_ARCHITECTURE.md | Spec | ✅ | 141,143 | LAYER_F_CONTROL | control_bind |
| 161 | 143 | PBACS_Void_Mask_LUT | PBACS Signal | θ_t = LUT_void[idx]; attest = popcount(LUT[i] ∧ deviation) | LUT_void=8Kbit blue noise mask, idx=traversal index | Structured thresholding replaces arithmetic transforms | docs/semantics/PBACS_CANONICAL_SIGNAL_ARCHITECTURE.md | Spec | ✅ | 141,142,145 | LAYER_K_SIGNAL | control_bind |
| 162 | 144 | PBACS_SLUQ_Stress | PBACS Signal | a_{t+1} = a_t - (a_t >> 6) + α|e_t| + β|μ| + γ·attest | a=stress accumulator, e=residual, μ=density mismatch | Adaptive stress accumulation with decay | docs/semantics/PBACS_CANONICAL_SIGNAL_ARCHITECTURE.md | Spec | ✅ | 141,146 | LAYER_F_CONTROL | control_bind |
| 163 | 145 | PBACS_CMYK_Routing | PBACS Signal | s_t = a_t >> 14; π(s_t) ∈ {K,C,M,Y} for [0,1,2,3] | s=2-bit state, K=fast, C=monitor, M=verify, Y=prune | Policy-based adaptive routing with 4-state hysteresis | docs/semantics/PBACS_CANONICAL_SIGNAL_ARCHITECTURE.md | Spec | ✅ | 144 | LAYER_B_ROUTING | control_bind |
| 164 | 146 | PBACS_BracketedDIAT | PBACS Signal | ℬ = ⟨l,u,v,g_l,g_u⟩ with g_l + g_u = u - l | l,u=bounds, v=value, g=gap, scale | Constraint-preserving interval arithmetic with gap conservation | tools/lean/Semantics/Semantics/BracketedCalculus.lean | Lean | ✅ | 141,147 | LAYER_D_INVARIANTS | control_bind |
| 165 | 147 | PBACS_Unified_Update | PBACS Signal | X_{t+1} = F(X_t) where X = (Φ,e,a,s,b,ℬ) | Unified state vector with 8-step canonical loop | Complete PBACS signal transport with all 5 layers | docs/semantics/PBACS_CANONICAL_SIGNAL_ARCHITECTURE.md | Spec | ✅ | 141,142,143,144,145,146 | LAYER_F_CONTROL | control_bind |
| 166 | 148 | LUT_as_DSP | FPGA Signal | φ_corr = LUT_void[(Φ_acc >> n) ⊕ MSB_flip] | Φ_acc=32-bit accumulator, MSB_flip=mirror detection | LUT-based DSP replacing floating-point with table lookups | docs/semantics/LUT_AS_DSP_EQUATION.md | Spec | ✅ | 142,149 | LAYER_K_SIGNAL | control_bind |
| 167 | 149 | Mirror_LUT_Unified | FPGA Signal | ℳ*(q,s,t) = ⌊φ^{α·ℋ(q,s) + β·𝒯(t)}·2^n⌋ ⊕ ℱ(q) | q=query, s=state, t=time, ℋ=hash, ℱ=fold | Cross-domain mirror LUT unification | docs/semantics/MIRROR_LUT_EQUATIONS.md | Spec | ✅ | 142,148 | LAYER_K_SIGNAL | control_bind |
| 168 | 150 | Adaptive_1bit_CMYK | FPGA Signal | stress_t = α|e_t| + β|μ| + γ·popcount; s_t = a_t >> 14 | 1-bit encoder + CMYK stress routing merged | Adaptive 1-bit transport with stress-based state machine | docs/semantics/ADAPTIVE_1BIT_CMYK_MERGED.md | Spec | ✅ | 141,145,147 | LAYER_K_SIGNAL | control_bind |
| 169 | 151 | Extended_Cognitive_Load_v2 | Cognitive Load | L_cog(x) = L_comp(x) + λ_D·E_dist(x); L_comp = λ_H·H(x) + λ_B·B(x) + λ_R·R(x); E_dist = μ_κ·Δκ(x) + μ_Θ·ΔΘ(x) + μ_Λ·ΔΛ(x) + μ_ρ·Δρ(x) | H=entropy, B=branching, R=recursion depth, Δκ=substrate mismatch, ΔΘ=temporal mismatch, ΔΛ=structural mismatch, Δρ=saturation imbalance | Pressure-adaptive cognitive load: complexity + distortion energy to maintain coherence | docs/semantics/PBACS_COGNITIVE_LOAD_REVISION.md | Spec | ✅ | 6,7,8,152,153 | LAYER_A_COMPRESSION | informational_bind |
| 170 | 153 | Release_Index_R | Manifold Dynamics | R(x) = E_dist(x) / (ρ_avail(x) + ε) | E_dist=distortion energy, ρ_avail=effective available resource flow, ε=small constant | Critical threshold: R<1 gradual adaptation, R≥1 discontinuous reconfiguration/throat/reset | docs/semantics/PBACS_COGNITIVE_LOAD_REVISION.md | Spec | ✅ | 151,152 | LAYER_F_CONTROL | control_bind |
| 171 | 154 | PBACS_Stress_v2 | PBACS Signal | stress_t = α|e_t| + β|μ̂_t - μ*_t| + γ·attest_t + δ·Ê_dist(x_t) | e=residual, μ=density mismatch, attest=attestation, Ê_dist=stored manifold mismatch energy | Upgraded stress: reacts to signal AND stored manifold mismatch energy | docs/semantics/PBACS_COGNITIVE_LOAD_REVISION.md | Spec | ✅ | 144,151,145 | LAYER_F_CONTROL | control_bind |
| 172 | 155 | Cognitive_Load_Revised_Admissibility | Cognitive Load | L_cog(x) ≤ L_max ∧ R(x) < 1; violation modes: L>L_max→NoSurface, R≥1→Forced Transition/Throat/Reset | L_max=maximum load, R=release index, NoSurface/Throat=failure modes | Two-constraint admissibility: load AND release index must both be satisfied | docs/semantics/PBACS_COGNITIVE_LOAD_REVISION.md | Spec | ✅ | 151,153 | LAYER_E_VERIFICATION | control_bind |
| 173 | 156 | Normalized_Cognitive_Load_v2 | Cognitive Load | L̂_cog(x) = λ_H·Ĥ(x) + λ_B·B̂(x) + λ_R·R̂(x) + λ_D·Ê_dist(x); Ê_dist = μ_κ·Δ̂κ + μ_Θ·Δ̂Θ + μ_Λ·Δ̂Λ + μ_ρ·Δ̂ρ | All components normalized [0,1], λ weights sum to 1 | Operational normalized form for simulation and thresholding | docs/semantics/PBACS_COGNITIVE_LOAD_REVISION.md | Spec | ✅ | 151 | LAYER_A_COMPRESSION | informational_bind |
| 174 | 157 | Phonon_Graph_Force | Phonon Graph | F(i, j) = e^(-d/127) * cos(2πd/127); d = |i - j| | d=distance between positions, 127=φ⁷≈29.03→period, e^(-d/127)=damping | Damped oscillating force law holding engrams together; self-contained, 32 chars | docs/semantics/PHONON_GRAPH_EQUATION.md | Spec | ✅ | 6,152 | LAYER_K_SIGNAL | physical_bind |
| 175 | 158 | Phonon_Damage_Trace | Phonon Graph | DamagePattern(i) = F(i, i₀) ⊕ F(i, i₁) ⊕ ... ⊕ F(i, iₙ) | i₀...iₙ=reference positions, ⊕=XOR of force signatures | Junk DNA pattern: repeating phonon force signature attached to code sections | docs/semantics/PHONON_DAMAGE_TRACE.md | Spec | ✅ | 157 | LAYER_E_VERIFICATION | informational_bind |
| 176 | 159 | Phonon_Rederivation_Mechanism | Phonon Graph | HowDamaged = argmin_D ||ObservedPattern - ExpectedPattern(D)||; D ∈ {bit_flip, shift, truncation, swap} | D=damage type, ExpectedPattern(D)=phonon signature under damage model D | Post-hoc damage reconstruction: compare observed to expected under each damage model | docs/semantics/PHONON_REDERIVATION.md | Spec | ✅ | 157,158 | LAYER_E_VERIFICATION | control_bind |
| 177 | 160 | Emoji_Machine_Core | Emoji Machine | LUT[s] → (emit, next); next = emit; s,emit,next ∈ Unicode | LUT=lookup table, s=current state/codepoint, emit=output codepoint | Quine-like self-referential machine: output IS next state address | docs/semantics/EMOJI_MACHINE.md | Spec | ⚠️ | - | LAYER_K_SIGNAL | control_bind |
| 178 | 161 | Emoji_Machine_Bounded | Emoji Machine | LUT[s] → (emit, next); next = emit; s,emit,next ∈ Fin 65536 (BMP only) | LUT=64K entries, s=16-bit state index, emit=output codepoint | Finite version: restricted to Basic Multilingual Plane (16-bit) | docs/semantics/EMOJI_MACHINE.md | Spec | ✅ | 160 | LAYER_K_SIGNAL | control_bind |
| 179 | 162 | Emoji_Machine_Recovery_Claim | Emoji Machine | ∀ positions p in trajectory T: LUT[p] must equal the unique successor in T | T=trajectory/cycle, p=position in state space, LUT[p]=required transition | Structural constraint: valid trajectories enforce their own consistency | docs/semantics/EMOJI_MACHINE.md | Spec | ⚠️ | 160,161 | LAYER_E_VERIFICATION | control_bind |
| 180 | 163 | Prime_Hash_Watermark | Combined System | Every P bits: embed prime π where π = HashToPrime(H(chunk)); H=SHA256, chunk=preceding P bits | P=period (≈127=φ⁷), π=prime encoding hash, chunk=bit segment | Periodic prime watermarks for integrity verification; primes encode hash of preceding stream | docs/semantics/PRIME_HASH_WATERMARK.md | Spec | ⚠️ | 157,6 | LAYER_E_VERIFICATION | control_bind |
| 181 | 164 | Cartesian_Map_Encoding | Encoding System | Symbol(s) → (x, y) ∈ Fin W × Fin H; W×H = 2^16 = 65536 | s=symbol index, (x,y)=Cartesian coordinates, W=width, H=height | Fixed 2D grid replaces UTF-8: 16-bit address space, direct indexing, no parsing | docs/semantics/CARTESIAN_MAP_ENCODING.md | Spec | ✅ | 160,161 | LAYER_K_SIGNAL | control_bind |
| 182 | 165 | Unified_Cartesian_State_Machine | Cartesian System | (xₜ₊₁, yₜ₊₁) = LUT[xₜ, yₜ]; x,y ∈ Fin 256 | LUT=64K entry table, (x,y)=current state, emit=next state | Self-contained state machine: output coordinate IS next address | docs/semantics/CARTESIAN_PHONON_PRIME_INTEGRATION.md | Spec | ✅ | 164,152 | LAYER_K_SIGNAL | control_bind |
| 183 | 166 | Cartesian_Manhattan_Distance | Cartesian System | d_M(cᵢ, cⱼ) = |xᵢ - xⱼ| + |yᵢ - yⱼ| | cᵢ,cⱼ=coordinates, d_M=Manhattan distance | Hardware-efficient distance: no multiply, no sqrt | docs/semantics/CARTESIAN_PHONON_PRIME_INTEGRATION.md | Spec | ✅ | 157,165 | LAYER_C_TOPOLOGY | geometric_bind |
| 184 | 167 | Cartesian_Phonon_Force_Law | Cartesian System | F(cᵢ,cⱼ) = e^(-d_M/127) * cos(2πd_M/127); d_M=|xᵢ-xⱼ|+|yᵢ-yⱼ| | d_M=Manhattan distance, 127=phonon period | Phonon correlation on 2D grid using Manhattan metric | docs/semantics/CARTESIAN_PHONON_PRIME_INTEGRATION.md | Spec | ✅ | 157,166 | LAYER_K_SIGNAL | physical_bind |
| 185 | 168 | Neighbor_Consensus_Recovery | Cartesian System | LUT_repaired[x,y] = mode{LUT[x±1,y], LUT[x,y±1]} | mode=majority vote, neighbors=4-connected (N,S,E,W) | Self-healing: repair damaged cell via neighbor consensus | docs/semantics/CARTESIAN_PHONON_PRIME_INTEGRATION.md | Spec | ✅ | 165,167 | LAYER_E_VERIFICATION | control_bind |
| 186 | 169 | Error_Dimension_Correction | Cartesian System | e = ErrorType × Magnitude; CorrectionSpace = (x, y, e) ∈ Fin 256 × Fin 256 × Fin N | e=error coordinate, N=error type space | Errors induce new dimensional axis; damage becomes navigable coordinate | docs/semantics/ERROR_DIMENSION_CORRECTION.md | Spec | ⚠️ | 165,168 | LAYER_E_VERIFICATION | control_bind |
| 187 | 170 | Original_Coordinate_Neighborhood_Recovery | Cartesian System | N(x,y) = {(x±1,y), (x,y±1), (x±1,y±1)}; Recovery: ∀n∈N(x,y), Verify(n) → Consensus(x,y) | (x,y)=original coordinate, N=8-connected neighborhood, Verify=attestation check | Use original coordinate to locate neighborhood; verify neighbors to recover damaged cell | docs/semantics/NEIGHBORHOOD_RECOVERY.md | Spec | ✅ | 165,168 | LAYER_E_VERIFICATION | control_bind |
| 188 | 171 | Waveprobe_Overlap_Energy_QUBO | Waveprobe QUBO | E(s) = ⟨ψ_past|P̂|ψ_past⟩ = |⟨ψ_curr|ψ_past⟩|²; P̂ = |ψ_curr⟩⟨ψ_curr| | |ψ⟩∈ℂⁿ state vector, P̂=projector, s=candidate state | Overlap energy between active engram state and past witness trace (QUBO objective) | docs/specs/waveprobe_qubo_spec.tex | Spec | ✅ | 172,173,90 | LAYER_F_CONTROL | control_bind |
| 189 | 172 | Waveprobe_QUBO_Matrix | Waveprobe QUBO | Q_ij = c̄_i · c_j; objective: maximize x†Qx over candidate states in search window W | c_i=complex coefficients of |ψ_curr⟩, x=candidate selection vector, W=search window | QUBO matrix form of local Waveprobe selection problem | docs/specs/waveprobe_qubo_spec.tex | Spec | ✅ | 171 | LAYER_F_CONTROL | control_bind |
| 190 | 173 | Waveprobe_Phase_Lock_Coherence | Waveprobe QUBO | φ(s,x) = w_e·φ_e + w_r·φ_r + w_d·φ_d; w_e=0.4, w_r=0.3, w_d=0.3 | φ_e=normalized Shannon entropy, φ_r=byte repetition rate, φ_d=4-gram dictionary potential | Fused phase-lock coherence scalar governing Waveprobe overlap magnitude | docs/specs/waveprobe_qubo_spec.tex | Spec | ✅ | 171,131 | LAYER_A_COMPRESSION | informational_bind |
| 191 | 174 | Waveprobe_Bell_Bound | Waveprobe QUBO | |⟨O_AB⟩| ≤ 2; violations (>2) confirm non-classical selection advantage | O_AB=causal order observable between candidate arms A,B | Bell-like bound distinguishing classical matching from quantum-inspired Waveprobe selection | docs/specs/waveprobe_qubo_spec.tex | Spec | ✅ | 171 | LAYER_E_VERIFICATION | control_bind |
| 192 | 175 | Waveprobe_BPB_Conservation | Waveprobe QUBO | BPB(x, s_probe) ≤ BPB(x, s_local); injection admitted iff local bits-per-byte does not increase | BPB=bits-per-byte, s_probe=injected state, s_local=current local state | Information-conservative injection rule preventing spoiler termination of compression trace | docs/specs/waveprobe_qubo_spec.tex | Spec | ✅ | 171,2 | LAYER_D_INVARIANTS | informational_bind |
| 193 | 554 | Boltzmann_State_Weighting | State Weighting | P_i = e^{-\Delta G_i / RT} / \sum e^{-\Delta G_j / RT} | ΔG_i=relative energy, R=gas constant, T=temperature | Weighted average of multiple candidate states based on local stability/energy | tools/lean/Semantics/Semantics/Extensions/ManifoldBlit.lean | Documented | ✅ | 141,412 | LAYER_M_LEAN_SEMANTICS | state_bind |
| 194 | 555 | Rubric_as_Reward_RaR | Agent Logic | R(τ) = Σ w_j · f_judge(τ, r_j) | τ=agent trajectory, r_j=rubric criteria, w_j=weights | Training autonomous agents via semantic judge models and group relative policy optimization | infra/access_control/orchestrator.py | Documented | ✅ | 6,10,412 | LAYER_M_LEAN_SEMANTICS | agent_bind |
| 195 | 556 | Global_Metric_Learning_GML | Metric Learning | d_M^2(x_i,x_j) = (x_i-x_j)^T M (x_i-x_j) | M=PSD matrix, L=decomposition (M=L^TL), S=similar, R=triplets | Optimizing the distance metric directly on the PSD manifold to improve manifold-to-manifold mapping | core/field_solver_emulator.py | Documented | ✅ | 38,75,412 | LAYER_C_TOPOLOGY | metric_bind |
| 196 | 557 | Equation_Chain_YEC | Identity Logic | 0 -> 1 -> X -> 1 -> 0 | 0=Balance, 1=Identity, X=Transformation | Structural lifecycle for mathematical reasoning and invariant verification | tools/lean/Semantics/Semantics/Quantization.lean | Documented | ✅ | 532,412 | LAYER_M_LEAN_SEMANTICS | logic_bind |
| 197 | 558 | Differential_Spectral_Correction_DSC | Signal Correction | xL' = xL + s · (xL - yL) | xL=current low-freq, yL=predicted clean low-freq, s=scaler | Correcting spectral bias and SNR-t drift in iterative reconstruction and signal transport | core/src/dsp_neuromorphic_translation.rs | Documented | ✅ | 141,142,425 | LAYER_K_SIGNAL | signal_bind |
| 198 | 559 | Autogenetic_Update_Rule | Agent Evolution | A_{t+1} = A_t + η ∇_A [M_t + Φ] | η=meta-learning rate, M_t=meta-objective, Φ=homeostasis | Mathematical framework for autonomous self-modification of agent protocols and logic | infra/access_control/orchestrator.py | Documented | ✅ | 555,412,101 | LAYER_M_LEAN_SEMANTICS | agent_bind |
| 199 | 182 | Hardy-Weinberg | Population Genetics | $p^2 + 2pq + q^2 = 1$ | Genetic state closure condition | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 200 | 183 | Arrhenius Eq | Thermodynamics | $k = A e^{-E_a/RT}$ | Thermal metabolic deformation tensor | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 201 | 184 | Fick's Law | Thermodynamics | $J = -D \nabla \phi$ | Laplace-Beltrami diffusion operator | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 202 | 185 | RNA Folding ΔG | Biophysics | $\Delta G = \sum E_{stack} + E_{loop}$ | Thermodynamic information topology | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 203 | 186 | Central Dogma ODE | Genetics | $\dot{m} = \alpha_m - \delta_m m$ | Cellular state production drift | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 204 | 187 | Hill Regulation | Control Theory | $f(X) = X^n / (K^n + X^n)$ | Nonlinear saturation feedback | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 205 | 188 | Waddington Potential | Developmental Biology | $V(x) = x^4/4 - bx^2/2 - ax$ | Epigenetic landscape bifurcation | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 206 | 189 | Turing Morphogenesis | Control Theory | $\partial_t u = \Delta_{LB} u + f(u,v)$ | u,v=morphogen concentrations, Δ_LB=Laplace-Beltrami, f=reaction | Spontaneous symmetry breaking | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | |
| 207 | 190 | Replicator Eq | Evolutionary Dynamics | $\dot{x}_i = x_i(f_i - \bar{f})$ | Evolutionary game theory flow | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 208 | 191 | Social Force Model | Behavioral Dynamics | $F = -\nabla V_{soc}$ | Collective human trajectory manifold | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 209 | 192 | Free Energy Principle | Information Theory | $F = \mathbb{E}_q [\ln q - \ln p]$ | Variational self-organization invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 210 | 193 | Fisher's Theorem | Population Genetics | $\dot{M} = \text{Var}_A(w)$ | Population fitness increase identity | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 211 | 194 | Neutral Theory (Kimura) | Evolutionary Dynamics | $k = v$ | Genomic drift baseline law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 212 | 195 | Wilson-Cowan Eq | Control Theory | $\dot{E} = -E + S(wE - wI + P)$ | Mean-field neural population dynamics | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 213 | 196 | Wolff's Law Equilibrium | Biomechanics | $[T, H] = 0$ | Biomechanical structural optimization | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 214 | 197 | Onsager Reciprocity | Thermodynamics | $L_{ij} = L_{ji}$ | Coupled transport symmetry law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 215 | 198 | Jarzynski Equality | Thermodynamics | $\langle e^{-\beta W} \rangle = e^{-\beta \Delta F}$ | Non-equilibrium information physics | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 216 | 199 | Flux Balance (FBA) | Metabolism | $S \cdot v = 0$ | Metabolic steady-state constraint | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 217 | 200 | Gierer-Meinhardt | Developmental Biology | $\dot{a} = \rho a^2/i - \mu a + \sigma$ | Morphogenetic pattern formation engine | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 218 | 201 | Price Equation | Evolutionary Dynamics | $\Delta \bar{z} = \text{cov}(w,z)/\bar{w} + E[w \Delta z]/\bar{w}$ | General law of selection and transmission | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 219 | 202 | Quasispecies Eq | Evolutionary Dynamics | $\dot{x}_i = (w_i q_i - \bar{w})x_i + \sum w_{ij} x_j$ | Molecular evolution error threshold | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 220 | 203 | May's Stability | Ecology | $s \sqrt{nC} < 1$ | Ecosystem diversity-stability constraint | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 221 | 204 | MaxEnt Production | Thermodynamics | $\sigma = \sum J_k X_k \to \text{max}$ | Thermodynamic network steady-state law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 222 | 205 | Wright-Fisher Drift | Population Genetics | $\text{Var}(\Delta p) = p(1-p)/N$ | Stochastic genetic sampling invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 223 | 206 | Daisyworld Homeostasis | Ecology | $\dot{w} = w(\beta x - \gamma)$ | Planetary-scale regulatory feedback | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 224 | 207 | MTE Master Eq | Biophysics | $I = i_0 M^{3/4} e^{-E/kT}$ | Thermodynamic constraint on life rates | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 225 | 208 | Lifespan Scaling | Biophysics | $t_L \propto M^{1/4}$ | Biological time invariant across species | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 226 | 209 | Simplicial Clique | Topology | $n\text{-simplex} = \text{clique}(n+1)$ | High-dimensional neural connectivity unit | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 227 | 210 | Cavity Persistence | Topology | $\Delta \beta_k = \text{birth} - \text{death}$ | Topological information processing metric | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 228 | 211 | Reproductive Effort | Life History | $Et/M \approx \text{const}$ | Lifetime energy efficiency invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 229 | 212 | Radical Pair Eq | Quantum Biology | $\dot{\rho} = -i[H,\rho] - \sum k_i \{P_i, \rho\}$ | Quantum magnetoreception dynamics | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 230 | 213 | Exciton Transfer | Quantum Biology | $H = \sum \epsilon | m\rangle\langle m | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 231 | 214 | Proton Tunneling | Quantum Biology | $k \approx \nu \exp(-2 \int \sqrt{2m(V-E)}/\hbar)$ | Quantum-induced DNA mutation rate | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 232 | 215 | Genetic Toggle | Synthetic Biology | $\dot{u} = \alpha_1/(1+v^\beta) - u$ | Synthetic bistable memory switch | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 233 | 216 | The Repressilator | Synthetic Biology | $\dot{m}_i = -m_i + \alpha/(1+p_j^n)$ | Synthetic genetic oscillator circuit | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 234 | 217 | Feed-Forward Loop | Synthetic Biology | $Z = f(X, Y)$ | Biological network logic gate motif | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 235 | 218 | Competitive Exclusion | Ecology | $dN/dt = rN(K-N-\alpha M)/K$ | Gause's law of niche partitioning | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 236 | 219 | Allee Effect | Ecology | $\dot{N} = rN(N/A-1)(1-N/K)$ | Population resilience threshold | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 237 | 220 | Island Biogeography | Ecology | $dS/dt = I - E$ | Species equilibrium on islands | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 238 | 221 | Marginal Value Thm | Ecology | $g'(T) = g(T)/(T+\tau)$ | Optimal foraging stay-time law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 239 | 222 | Hamilton's Rule | Evolutionary Dynamics | $rB > C$ | Kin selection altruism identity | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 240 | 223 | Poiseuille's Law | Physiology | $Q = \Delta P \pi r^4 / 8\eta L$ | Cardiovascular flow rate law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 241 | 224 | Starling's Law | Physiology | $SV \propto EDV$ | Cardiac contractility invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 242 | 225 | Fick Principle | Physiology | $CO = VO_2 / \Delta [O_2]$ | Cardiac output measurement law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 243 | 226 | SA:V Scaling Law | Biophysics | $SA/V \propto 1/L$ | Bergmann/Allen climate adaptation rule | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 244 | 227 | Cope's Rule | Evolutionary Dynamics | $S_t = S_0 e^{kt}$ | Macroevolutionary body size trend | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 245 | 228 | Clonal Selection | Immunology | $\dot{B} = (r(A) - d)B$ | Lymphocyte clone expansion law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 246 | 229 | Viral Kinetics | Epidemiology | $T-I-V$ system | Viral load and target cell dynamics | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 247 | 230 | Circadian Oscillator | Neuroscience | Van der Pol eq | Self-sustained biological rhythms | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 248 | 231 | Muscle Force-Vel | Biomechanics | $(F+a)(v+b) = \text{const}$ | Hill's hyperbolic muscle law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 249 | 232 | Behavioral Attractor | Neuroscience | Lorenz system | Nonlinear behavioral state flow | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 250 | 233 | Gompertz-Makeham | Demography | $\mu(x) = \alpha e^{\beta x} + \lambda$ | Fundamental law of human mortality | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 251 | 234 | Cancer Invasion | Oncology | $T-N-L$ system | Gatenby's evolutionary oncology model | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 252 | 235 | Izhikevich Neuron | Neuroscience | Hybrid spiking eq | Efficient cortical firing dynamics | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 253 | 236 | Kuramoto Synchrony | Neuroscience | $r = | (1/N) \sum e^{i\theta} | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 254 | 237 | Pipe Model Theory | Botany | $A_{parent} = \sum A_{daughters}$ | Botanical area-preserving branching law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 255 | 238 | Integrated Information | Neuroscience | $\Phi = D_{KL} [ p(X) | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | |||
| 256 | 239 | Neuronal Workspace | Neuroscience | $S = \text{sigmoid}(W_{asc} \Phi(W_{desc}))$ | GNW global broadcast gating law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 257 | 240 | Objective Reduction | Quantum Biology | $\tau \approx \hbar / E_G$ | Orch-OR quantum consciousness event | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 258 | 241 | Sonar Ranging | Biophysics | $R = c \Delta t / 2$ | Bio-acoustic distance invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 259 | 242 | Auditory Filter | Perception | $g(t) = a t^{n-1} e^{-2\pi bt}$ | Gammatone cochlear processing model | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 260 | 243 | Kinematic Replication | Developmental Biology | $N \propto \int \sigma(v, \text{shape}) dt$ | Xenobot self-assembly probability | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 261 | 244 | Vicsek Swarming | Behavioral Dynamics | $\theta_{t+1} = \langle \theta \rangle + \Delta \theta$ | Collective motion phase transition law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 262 | 245 | Lévy Flight | Behavioral Dynamics | $P(l) \sim l^{-\mu}$ | Superdiffusive animal search invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 263 | 246 | Cable Equation | Biophysics | $\lambda^2 \partial^2 V / \partial x^2 = \tau \dot{V} + V$ | Passive electrical signal decay law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 264 | 247 | Membrane Tension | Biophysics | $\Delta P = 2\gamma / R$ | Young-Laplace curvature-pressure law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 265 | 248 | Osmotic Pressure | Biophysics | $\Pi = icRT$ | Van 't Hoff protocell internal pressure | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 266 | 249 | Info Bottleneck | Information Theory | $\min I(X;Z) - \beta I(Z;Y)$ | Optimal neural compression principle | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 267 | 250 | Predictive Coding | Information Theory | $\dot{r} \propto U^T(I - f(Ur))$ | Hierarchical prediction error update | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 268 | 251 | Weber-Fechner Law | Perception | $S = k \ln(I/I_0)$ | Logarithmic perception scaling law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 269 | 252 | Stevens' Power Law | Perception | $S = k I^a$ | Modality-specific stimulus scaling | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 270 | 253 | WBE Branching | Biophysics | $\beta = n^{-1/2}, \gamma = n^{-1/3}$ | Fractal vascular network ratios | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 271 | 254 | Energy Invariant | Biophysics | $E_{total} \approx \text{const}$ | Universal lifetime energy budget law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 272 | 255 | ROS Damage | Biophysics | $\dot{D} = k \Phi_{ROS} - R$ | Mitochondrial oxidative aging model | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 273 | 256 | Maturity Invariant | Life History | $\alpha \cdot M \approx \text{const}$ | Charnov's maturity-mortality law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 274 | 257 | Fecundity Ratio | Life History | $b/M \approx \text{const}$ | Reproductive effort life-history invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 275 | 258 | Hill Equation | Biophysics | $Y = [L]^n / (K_d + [L]^n)$ | Molecular cooperativity law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 276 | 259 | Adair Equation | Biophysics | $Y = \sum i K_i L^i / n(1 + \sum K_i L^i)$ | Stepwise thermodynamic binding law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 277 | 260 | MWC Allostery | Biophysics | $Y = f(\alpha, L, c)$ | Concerted symmetry-state transition | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 278 | 261 | KNF Allostery | Biophysics | $Y = f(\alpha, K_{int})$ | Sequential induced-fit binding law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 279 | 262 | Opponent Theory | Perception | $RG = L - 2M, BY = (L+M) - S$ | LMS cone-to-opponent channel law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 280 | 263 | Retinex Designator | Perception | $R = \log(I/I_{sur})$ | Land's color constancy invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 281 | 264 | Lateral Inhibition | Perception | $r_p = e_p - \sum k_j r_j$ | Hartline-Ratliff edge enhancement law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 282 | 265 | CIELAB Mapping | Perception | $f(t) = t^{1/3}$ | Perceptually uniform color scaling | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 283 | 266 | Morpho-Transform | Developmental Biology | $x' = f(x, y), y' = g(x, y)$ | D'Arcy Thompson coordinate mapping | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 284 | 267 | Murray's Law | Biophysics | $r_0^3 = \sum r_i^3$ | Optimal vascular branching invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 285 | 268 | DNA Linking Num | Topology | $Lk = Tw + Wr$ | Topological constraint on circular DNA | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 286 | 269 | Brain Allometry | Neuroscience | $E = k S^\alpha$ | Brain-body mass power law scaling | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 287 | 270 | EQ Index | Neuroscience | $EQ = E / k S^{2/3}$ | Encephalization quotient metric | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 288 | 271 | Mendelian Sum | Genetics | $(p+q)^2 = 1$ | Genotypic probability distribution law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 289 | 272 | Morgan Linkage | Genetics | $RF = (Rec/Total) \times 100$ | centiMorgan genetic distance law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 290 | 273 | Liebig's Law | Ecology | $Y = \min(k_i R_i)$ | Limiting factor growth invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 291 | 274 | Shelford Tolerance | Ecology | $P(x) \propto \exp(-\Delta x^2/2\sigma^2)$ | Gaussian environmental performance law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 292 | 275 | Polygenic CLT | Genetics | $X = \sum g_i + \epsilon$ | Additive trait convergence identity | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 293 | 276 | Nernst Potential | Biophysics | $E = (RT/zF) \ln(C_{out}/C_{in})$ | Ion-specific reversal potential law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 294 | 277 | GHK Equation | Biophysics | $V_m = f(P_i, C_i)$ | Resting membrane potential invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 295 | 278 | Donnan Product | Biophysics | $[K]_{in}[Cl]_{in} = [K]_{out}[Cl]_{out}$ | Passive ion distribution equilibrium | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 296 | 279 | Gibbs-Duhem Eq | Biophysics | $\sum n_i d\mu_i = 0$ | Cellular chemical potential coupling | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 297 | 280 | Second Bio-Law | Biophysics | $\Delta S_{tot} > 0$ | Biological entropy export requirement | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 298 | 281 | French Flag Model | Developmental Biology | $C(x) \to \{B, W, R\}$ | Positional information threshold law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 299 | 282 | SDD Gradient | Developmental Biology | $C(x) = C_0 e^{-x/\lambda}$ | Source-Diffusion-Degradation steady state | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 300 | 283 | Lewis's Law | Biophysics | $A_n \propto 1 + \alpha(n-6)$ | Cell area-neighbor topological law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 301 | 284 | Aboav-Weaire Law | Biophysics | $m(n) = 5 + 6/n$ | Neighbor-neighbor topology invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 302 | 285 | Growth Dilution | Ecology | $\dot{C} = -C \nabla \cdot V$ | Advective scaling on growing manifolds | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 303 | 286 | Redfield Ratio | Biogeochemistry | $C:N:P = 106:16:1$ | Biogeochemical stoichiometry invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 304 | 287 | Holling Response | Ecology | $f(N) = aN / (1+ahN)$ | Predator-prey functional response laws | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 305 | 288 | Eco-Connectance | Ecology | $C = L / S^2$ | Food web structural complexity metric | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 306 | 289 | Taylor's Law | Ecology | $\sigma^2 = a \mu^b$ | Population density variance scaling law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 307 | 290 | Logistic Map | Ecology | $x_{n+1} = rx(1-x)$ | Discrete population chaos transition | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 308 | 291 | Lotka's Invariant | Demography | $\int e^{-ra} p(a) m(a) da = 1$ | Stable population age distribution law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 309 | 292 | Tetz's Law | Evolutionary Biology | $t_{death} \leftarrow q(t) \ge q_{max}$ | Pangenome alteration lifespan limit | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 310 | 293 | Survival Limit | Demography | $P(S) \to 0$ | Stretched exponential mortality plateau | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 311 | 294 | Genomic Entropy | Genetics | $H = -\sum p \log p$ | DNA/RNA sequence information content | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 312 | 295 | Codon Hamming | Genetics | $d_H = \sum [b_i \neq b_j]$ | Genetic mutation cost metric | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 313 | 296 | Bio-Capacity | Genetics | $C = 1 - H(p)$ | Maximum sustainable replication rate | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 314 | 297 | Error Catastrophe | Evolutionary Biology | $p_{max} \approx \ln(\sigma)/L$ | Information persistence limit law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 315 | 298 | Bio-Hamiltonian | Evolutionary Biology | $H = p \cdot f(x,u,t)$ | Pontryagin life-history optimization | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 316 | 299 | Requisite Variety | Control Theory | $V_{sys} \ge V_{env}$ | Ashby's homeostatic stability law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 317 | 300 | Bio-Reinforcement | Neuroscience | $\Delta V = r - V$ | Integral RL optimal control update | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 318 | 301 | Pareto Robustness | Evolutionary Biology | $Dist(R, P) \to 0$ | Performance-reliability trade-off law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 319 | 302 | Limit Cycle Thm | Dynamical Systems | Poincaré-Bendixson | Rhythmic robustness necessity law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 320 | 303 | Phase Singularity | Dynamical Systems | $\text{Amp} \to 0$ at $S^*$ | Winfree's topological clock stopping | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 321 | 304 | Self-Assembly ΔG | Biophysics | $\Delta G = \Delta H - T\Delta S$ | Hydrophobic structure formation law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 322 | 305 | CMC Threshold | Biophysics | $C > CMC$ | Micelle formation phase transition | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 323 | 306 | DNA Tile Logic | Biophysics | $G_a \equiv G_b > T$ | Algorithmic self-assembly matching | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 324 | 307 | Hawk-Dove ESS | Evolutionary Biology | $p = V/C$ | Evolutionary game mixed strategy | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 325 | 308 | Van Valen's Law | Evolutionary Biology | $\ln N = -kt + C$ | Constant extinction probability law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 326 | 309 | Scale-Free Dist | Network Theory | $P(k) \propto k^{-\gamma}$ | Biological network structural invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 327 | 310 | Preferential Att | Network Theory | $w_i \propto k_i$ | Network hub formation mechanism | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 328 | 311 | Neutrality Rule | Evolutionary Biology | $ | s | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 329 | 312 | Adami Complexity | Evolutionary Biology | $C = L - H$ | Genomic information measure | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 330 | 313 | Regulatory Law | Genetics | $R \propto N^2$ | Quadratic scaling of transcription factors | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 331 | 314 | Revelle Factor | Biogeochemistry | $\beta = \Delta pCO_2 / \Delta DIC$ | Oceanic chemical buffer capacity law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 332 | 315 | Remineral Ratio | Biogeochemistry | $O:C \approx 1.3$ | Redfield-Kester remineralization invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 333 | 316 | Small-World Law | Network Theory | $C(\beta) \sim (1-\beta)^3$ | Local clustering in modular networks | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 334 | 317 | Modularity Q | Network Theory | $Q = \sum (e_{ii} - a_i^2)$ | Network functional division metric | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 335 | 318 | HOT Principle | Complexity Theory | $\min \sum P_i L_i$ | Robustness-fragility optimization law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 336 | 319 | Complexity Law | Complexity Theory | $\sigma^2(t) = \sigma^2(0) + 2Dt$ | McShea's spontaneous complexity growth | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 337 | 320 | GK-Switch | Biophysics | $x = G(v_1, v_2, J_1, J_2)$ | Zeroth-order ultrasensitivity law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 338 | 321 | Mitotic Oscillator | Cell Biology | $\dot{u}, \dot{v}$ (Tyson) | Cell cycle limit cycle dynamics | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 339 | 322 | PER-CRY Feedback | Circadian Biology | $Rate = K^n / (K^n + R^n)$ | Molecular circadian clock repression | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 340 | 323 | Keller-Segel | Developmental Biology | $J = \chi u \nabla c$ | Chemotactic advection-diffusion law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 341 | 324 | Epigenetic Clock | Epigenetics | $Age = \sum \beta_i \cdot DNAm_i$ | Horvath's methylation-based aging law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 342 | 325 | Kinetic Proofread | Biophysics | $\eta \approx (\eta_{eq})^N$ | Energy-driven biological error correction | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 343 | 326 | Biodiversity Num | Ecology | $\theta = 2 J_m \nu$ | Hubbell's unified neutral theory metric | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 344 | 327 | Hick's Law | Cognitive Science | $RT = a + b \log(n+1)$ | Decision time vs choice complexity law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 345 | 328 | Fitts's Law | Cognitive Science | $MT = a + b \log(A/W + 1)$ | Motor control speed-accuracy invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 346 | 329 | Zipf's Law | Information Theory | $P(r) \propto r^{-s}$ | Codeword/abundance power law scaling | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 347 | 330 | Laughlin's Law | Neuroscience | $Cost \propto \text{Capacity}$ | Metabolic efficiency of neural information | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 348 | 331 | Hebb's Law | Neuroscience | $\Delta w = \eta xy$ | Fundamental associative learning rule | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 349 | 332 | Oja's Rule | Neuroscience | $\Delta w = \eta(xy - y^2 w)$ | Stable PCA-based synaptic plasticity | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 350 | 333 | Hopfield Energy | Neuroscience | $E = -0.5 \sum w_{ij} s_i s_j$ | Neural attractor memory stability law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 351 | 334 | Critical Power Law | Complexity Theory | $P(s) \sim s^{-\tau}$ | Self-organized criticality invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 352 | 335 | Broken Stick | Ecology | $E(R_j) = \frac{1}{n} \sum 1/i$ | Null model for species abundance | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 353 | 336 | Niche Breadth | Ecology | $B = 1 / \sum p_i^2$ | Levins' specialization-diversity index | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 354 | 337 | Niche Overlap | Ecology | $M_{jk} = \sum p_j p_k / \sum p_j^2$ | Competitive impact asymmetry law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 355 | 338 | Motor Efficiency | Biophysics | $\eta_{th} = fl / \Delta \mu$ | Thermodynamic Brownian ratchet law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 356 | 339 | Parrondo Paradox | Game Theory | $L_1 + L_2 \to W$ | Winning-by-switching evolution law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 357 | 340 | Somite Size Law | Developmental Biology | $S = v \cdot T$ | Clock-and-wavefront segmentation invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 358 | 341 | Morphogen Scaling | Developmental Biology | $\lambda \propto L$ | Expansion-repression scale invariance | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 359 | 342 | MDDR Growth Law | Developmental Biology | $\dot{M}/M = \text{const}$ | Morphogen-dependent cell division rule | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 360 | 343 | Anfinsen's Dogma | Biophysics | $G_{native} = \min(G)$ | Protein native state global minimum | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 361 | 344 | Levinthal Space | Biophysics | $\Omega = m^n$ | Conformational search complexity | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 362 | 345 | Folding Landscape | Biophysics | $P_i = e^{-E_i/kT} / Z$ | Boltzmann conformation distribution | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 363 | 346 | Contact Order | Biophysics | $CO = (1/LN) \sum \Delta S$ | Protein folding rate topological law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 364 | 347 | Fermat's Path Law | Biophysics | $\sin \theta / v = \text{const}$ | Optimal animal trail refraction law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 365 | 348 | Max Flux Principle | Metabolism | $\max \mathbf{c}^T \mathbf{v}$ | Metabolic network optimization objective | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 366 | 349 | Max Power Law | Thermodynamics | $P = \eta \Phi \to \max$ | Lotka's principle of self-organization | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 367 | 350 | Least Action Law | Physics | $\delta \int (T-V) dt = 0$ | Euler-Lagrange population trajectory | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 368 | 351 | Action Functional | Physics | $S = \int L dt$ | Cumulative trajectory cost metric | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 369 | 352 | CSD Autocorr | Complexity Theory | $\alpha \to 1$ as $\lambda \to 0$ | Tipping point early warning signal | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 370 | 353 | CSD Variance | Complexity Theory | $Var \propto 1 / (1-\alpha^2)$ | Noise amplification near instability | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 371 | 354 | Recovery Rate | Ecology | $\lambda = -1/\tau$ | Speed of return to stable equilibrium | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 372 | 355 | Resilience Basin | Ecology | $Depth, Width$ | Geometrical stability of attractors | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 373 | 356 | Horton Number Law | Biophysics | $N_k = R_B^{K-k}$ | Branch count geometric series law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 374 | 357 | Horton Length Law | Biophysics | $L_k = L_1 R_L^{k-1}$ | Branch length geometric series law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 375 | 358 | WBE Exponent | Biophysics | $\alpha = 3/4$ | Metabolic scaling fractal dimension | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 376 | 359 | Heart Rate Law | Biophysics | $HR \propto M^{-1/4}$ | Quarter-power heart rate scaling law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 377 | 360 | Blood Volume Law | Biophysics | $V_b \propto M^1$ | Isometric blood mass invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 378 | 361 | Sensing Limit | Biophysics | $\delta c/c \sim (Dac\tau)^{-1/2}$ | Berg-Purcell chemoreception bound | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 379 | 362 | Signaling SNR | Biophysics | $SNR \approx \Delta c^2 Dac\tau$ | Bialek's physical limit of detectors | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 380 | 363 | Positional Noise | Biophysics | $\Delta x \approx (\delta c/c) / | \nabla c/c | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 381 | 364 | Oregonator BZ | Chemical Physics | $x, y, z$ (non-equilibrium) | Chemical oscillator kinetics law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 382 | 365 | Firefly Synchrony | Neuroscience | $\dot{\theta} = \omega + A \sin(\Delta \theta)$ | Pulse-coupled oscillator entrainment | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 383 | 366 | Bio-Continuity | Biophysics | $\dot{u} + \nabla \cdot (Vu) = F$ | General conservation of biological mass | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 384 | 367 | Strouhal Number | Biomechanics | $St = fA / U$ | Propulsive efficiency invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 385 | 368 | Froude Number | Biomechanics | $Fr = v^2 / gL$ | Terrestrial gait transition invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 386 | 369 | Huxley Muscle Law | Biomechanics | $\dot{n} = f(1-n) - gn$ | Myosin cross-bridge attachment kinetics | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 387 | 370 | Monod Equation | Microbiology | $\mu = \mu_{max} S / (K_s + S)$ | Nutrient-limited microbial growth law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 388 | 371 | Pirt's Law | Microbiology | $q_s = \mu / Y_G + m$ | Maintenance energy partitioning law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 389 | 372 | Verhulst Logistic | Ecology | $\dot{P} = rP(1-P/K)$ | Population growth with carrying capacity | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 390 | 373 | Gompertz Growth | Ecology | $\dot{V} = r V \ln(K/V)$ | Asymmetric sigmoidal biomass accumulation | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 391 | 374 | MCA Control Coeff | Metabolism | $C^J_v = \partial \ln J / \partial \ln v$ | System-level metabolic sensitivity | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 392 | 375 | MCA Summation | Metabolism | $\sum C^J_{v_i} = 1$ | Conservation of metabolic control law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 393 | 376 | Perfect Adapt | Control Theory | $\dot{m} = k_R R - k_B B \phi(A)$ | Barkai-Leibler robustness invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 394 | 377 | Demand Rule | Genetics | $D \to 1 \implies \text{Activator}$ | Savageau's regulatory logic selection | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 395 | 378 | Place Theory | Perception | $m \ddot{x} + \beta \dot{x} + \kappa x = F$ | Helmholtz cochlear resonance law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 396 | 379 | Traveling Wave | Perception | $\phi = \omega t - \int k dx$ | Békésy's cochlear wave phase invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 397 | 380 | Tonotopic Map | Perception | $f = A(10^{ax} - K)$ | Greenwood frequency-position function | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 398 | 381 | Cochlear Amp | Biophysics | $\dot{z} = (\mu+i\omega)z - | z | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 399 | 382 | R* Theory | Ecology | $R^* = Kd / (\mu_{max} - d)$ | Resource-ratio competition equilibrium | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 400 | 383 | SM Correlation | Demography | $\ln \alpha \approx \ln K - c\beta$ | Initial mortality vs aging rate law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 401 | 384 | Vitality Decay | Demography | $V(t) = V_0(1 - Bt)$ | Homeostatic energy reserve decline | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 402 | 385 | Mortality Plateau | Demography | $\mu(x) \to s$ as $x \to \infty$ | Late-life mortality deceleration law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 403 | 386 | Bark Scale | Perception | $z = 13 \arctan(k f) + \dots$ | Perceptual auditory filter rate law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 404 | 387 | Crit Bandwidth | Perception | $\Delta f = 25 + 75 [1 + 1.4 f^2]^{0.69}$ | Ear energy integration bandwidth law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 405 | 388 | Equal Loudness | Perception | $L_p = f(Phons, f)$ | Phon-to-SPL perceptual intensity law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 406 | 389 | Niche Hypervolume | Ecology | $H = \{ \mathbf{x} \mid L_i \le x_i \le U_i \}$ | Hutchinson's fundamental niche law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 407 | 390 | Nernst-Planck | Biophysics | $J = -D(\nabla c + \frac{ze}{kT} c \nabla \phi)$ | Charged ion transport invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 408 | 391 | Richness Scaling | Ecology | $\ln S = -E/kT + C$ | MTE biodiversity-temperature law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 409 | 392 | FHN Excitability | Neuroscience | $\dot{v}, \dot{w}$ (FitzHugh) | Simplified excitable system law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 410 | 393 | Swift-Hohenberg | Pattern Formation | $\dot{u} = ru - (1+\nabla^2)^2 u$ | Universal pattern formation invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 411 | 394 | Tissue Stiffness | Biomechanics | $E \propto \rho^n$ | Gibson-Ashby density-stiffness scaling | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 412 | 395 | Cytoskeletal F | Biomechanics | $F = -kx$ | Hookean elastic restoring force law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 413 | 396 | Spiral Vogel | Botany | $\theta = n\psi, r = c\sqrt{n}$ | Biological spiral floret arrangement | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 414 | 397 | Golden Angle | Botany | $\psi \approx 137.5^\circ$ | Optimal packing angular invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 415 | 398 | Hofmeister Rule | Botany | $\max Dist(P_{new}, P_{old})$ | Primordium placement growth axiom | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 416 | 399 | Muller's Ratchet | Evolutionary Biology | $n_0 = N e^{-\lambda/s}$ | deleterious mutation accumulation law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 417 | 401 | Neutral Diversity | Evolutionary Biology | $\theta = 4 N_e u$ | Mutation-drift equilibrium invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 418 | 402 | Reynolds Number | Fluid Dynamics | $Re = \rho u L / \mu$ | Inertial-viscous flow regime law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 419 | 403 | Peclet Number | Fluid Dynamics | $Pe = u L / D$ | Advective-diffusive transport ratio | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 420 | 404 | Darcy's Law | Fluid Dynamics | $v = -(\kappa/\mu) \nabla P$ | Interstitial fluid flux invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 421 | 405 | Starling Eq | Physiology | $J_v = f(\Delta P, \Delta \pi)$ | Capillary-tissue filtration rate law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 422 | 406 | Handicap Principle | Evolutionary Biology | $w = f(a, p, q)$ | Costly signaling fitness law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 423 | 407 | Honesty Condition | Evolutionary Biology | $\partial^2 w / \partial a \partial q > 0$ | Marginal cost stability invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 424 | 408 | Honest Equilibrium | Evolutionary Biology | $P^*[A^*(q)] = q$ | Perceptual-quality identity law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 425 | 409 | Schwan Equation | Biophysics | $V_m = 1.5 E R \cos \theta$ | Induced membrane potential law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 426 | 410 | Cole-Cole Eq | Biophysics | $\varepsilon^* = \varepsilon_\infty + \dots$ | Tissue dielectric relaxation invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 427 | 411 | Dispersion Law | Physics | $\alpha, \beta, \gamma$ regions | Frequency-dependent tissue impedance | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 428 | 412 | RNA Combinators | Synthetic Biology | $Kxy=x, Sxyz=(xz)(yz)$ | Ribosome Turing completeness proof | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 429 | 413 | BioBrick Logic | Synthetic Biology | $f(A,B) \to C, type(A)=type(C)$ | Idempotent genetic assembly law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 430 | 414 | Genetic Load | Evolutionary Biology | $V_{cell} = I_{load} R_{meta}$ | Ohm's law metabolic burden analogy | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 431 | 415 | Critical Depth | Ecology | $Z_{cr} \propto I_0 / k I_c$ | Sverdrup's bloom initiation law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 432 | 416 | Particle Sinking | Oceanography | $v \propto (\rho_p - \rho_f) R^2$ | Stokes' marine snow export invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 433 | 417 | Q10 Rule | Biophysics | $Q_{10} = (R_2/R_1)^{10/\Delta T}$ | Thermal biological rate sensitivity | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 434 | 418 | Base Saturation | Biogeochemistry | $\%Sat_i = C_i / CEC \times 100$ | Albrecht's soil chemistry ratios | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 435 | 419 | Hyphal Flow | Mycology | $\partial_t n + v \partial_x n = bn$ | Schnepf-Roose fungal mining kinetics | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 436 | 420 | Terraced Barrel | Botany | $\mu = \min(I_S, \tilde{I})$ | Global physical growth constraint law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 437 | 421 | Reliability Law | Engineering | $P(t) = 1 - (1-e^{-kt})^n$ | Redundant system aging invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 438 | 422 | Reaction Prop | Chemistry | $a_j = c_j h_j$ | Stochastic event probability density | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 439 | 423 | Gillespie Step | Stochastic Processes | $\tau = (1/a_0) \ln(1/r)$ | Discrete event-waiting time invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 440 | 424 | Master Equation | Statistical Mechanics | $\dot{P} = \sum [aP_{pre} - aP_{post}]$ | State probability density flow law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 441 | 425 | Masking Slope | Perception | $S_2 \approx 24 + 230/f - 0.2L$ | Zwicker's upward spread of masking | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 442 | 426 | SMR Priority | Neuroscience | $SMR = L_{sig} - L_{mask}$ | Informational saliency filtering law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 443 | 427 | Specific Loudness | Perception | $N' = k (E/E_0)^{0.23}$ | Auditory power-law intensity invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 444 | 428 | STDP Law | Neuroscience | $\Delta w \propto \exp(-\Delta t/\tau)$ | Timing-dependent synaptic plasticity | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 445 | 429 | Trophic 10% Rule | Ecology | $P_n = 0.1 P_{n-1}$ | Energy transfer attenuation invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 446 | 430 | Slender-Body F | Fluid Dynamics | $f = -\partial_t(mv) - U \partial_x(mv)$ | Lighthill's reactive swimming force | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 447 | 431 | DVM Fitness | Marine Biology | $F(z) = g(z,t) - \mu(z,t)$ | Migration depth optimization law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 448 | 432 | Swim Response | Marine Biology | $w = w_{max} \tanh(\alpha \Delta I)$ | Light-dependent vertical speed | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 449 | 433 | Turbulent Encounter | Fluid Dynamics | $E = \pi R^2 \sqrt{\sum v_i^2} C$ | Rothschild-Osborn foraging law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 450 | 434 | Patch Residence | Ecology | $f'(t^*) = f(t^*)/(T+t^*)$ | MVT optimal stay-time invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 451 | 435 | Input Matching | Foraging Theory | $N_i/\sum N = R_i/\sum R$ | Ideal Free Distribution (IFD) law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 452 | 436 | Fitness Equi | Evolutionary Biology | $F_i(N_i) = F_j(N_j)$ | Payoff equilibration in social groups | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 453 | 437 | V-Formation Upwash | Aerodynamics | $v \propto \Gamma / r$ | Aerodynamic vortex-capture law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 454 | 438 | Induced Drag Law | Aerodynamics | $D_i \propto L^2 / \rho V^2$ | Formation flight drag reduction | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 455 | 439 | Flight Efficiency | Aerodynamics | $Range \times 1.71$ | Collective aerodynamic range extension | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 456 | 440 | Reproduction Num | Demography | $R_0 = \beta / \gamma$ | Basic disease transmission invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 457 | 441 | Herd Immunity | Epidemiology | $HIT = 1 - 1/R_0$ | Contagion resistance threshold law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 458 | 442 | SIR Dynamics | Epidemiology | $\dot{S}, \dot{I}, \dot{R}$ | Compartmental infectious disease model | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 459 | 443 | NDZ Model | Ecology | $\dot{C} = \nabla \cdot [D \nabla C + vC/b]$ | Nutrient depletion zone kinetics | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 460 | 444 | Root Uptake | Plant Physiology | $F = I_{max} \Delta c / (K_m + \Delta c)$ | Root surface nutrient flux law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 461 | 445 | Root Fractal | Plant Physiology | $N(\epsilon) \propto \epsilon^{-D}$ | Root system space-filling invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 462 | 446 | Constructal Law | Physics | $d_1/d_0 = n^{-1/3}$ | Bejan's optimal flow configuration law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 463 | 447 | Muscle Mechanics | Biomechanics | $(F+a)(v+b) = \text{const}$ | Hill's 3-element contractile model | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 464 | 448 | Square-Cube Law | Biophysics | $SA \propto L^2, V \propto L^3$ | Geometric scaling limit on organism size | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 465 | 449 | Fung's Law | Biophysics | $\sigma \propto e^{\epsilon^2}$ | Exponential strain-stiffening invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 466 | 450 | Alveolar Laplace | Physiology | $P = 2\gamma / r$ | Lung stability surface-tension law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 467 | 451 | Ventricular Wall | Physiology | $\sigma = Pr / 2h$ | Cardiac stress-thickness invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 468 | 452 | Process S | Metabolism | $\dot{S} \propto (S_{max} - S)$ | Homeostatic sleep pressure law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 469 | 453 | Process C | Metabolism | $H^{\pm} = \text{mean} \pm A\cos(\omega t)$ | Circadian drive threshold invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 470 | 454 | Aschoff's Rule | Chronobiology | $\tau(I) = \tau_0 \pm k \log I$ | Internal clock period scaling law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 471 | 455 | Lack's Principle | Ecology | $W = n \cdot P(n)$ | Optimal reproductive clutch size law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 472 | 456 | Smith-Fretwell | Evolutionary Biology | $W = (R/s) f(s)$ | Offspring size-number trade-off law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 473 | 457 | Repro Scaling | Evolutionary Biology | $R \propto M^{3/4}$ | Life-history resource allocation law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 474 | 458 | Dunbar's Law | Social Neuroscience | $\log N \propto \log CR$ | Social brain group-size limit law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 475 | 459 | Relationship Law | Social Science | $R = N(N-1)/2$ | Quadratic growth of social links | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 476 | 460 | Brain Curvature | Neuroscience | $\log E \propto (\log S)^2$ | Brain-body curvilinear scaling law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 477 | 461 | Glottal Bernoulli | Biophysics | $P_g = P_s - 0.5 \rho v^2$ | Vocal fold aerodynamic suction law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 478 | 462 | Source-Filter | Speech Science | $P(z) = S(z)V(z)R(z)$ | Vocal production linear system model | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 479 | 463 | Pitch Scaling | Speech Science | $f_0 \propto M^{-0.4}$ | Fletcher's optimal communication pitch | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 480 | 464 | VTL Scaling | Speech Science | $VTL \propto M^{1/3}$ | Vocal tract geometric scaling invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 481 | 465 | Tissue Fluence | Biophysics | $\frac{1}{c}\dot{\Phi} = D \nabla^2 \Phi - \mu_a \Phi + S$ | Light transport diffusion approximation | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 482 | 466 | Luciferase Law | Molecular Biology | $v = V_{max} [S] / (K_m + [S])$ | Bioluminescence kinetic emission rate | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 483 | 467 | Beer-Lambert | Chemistry | $I = I_0 e^{-\mu_a z}$ | Light intensity attenuation in tissue | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 484 | 468 | Cole's Paradox | Evolutionary Biology | $m_a = m_p + S/s$ | Annual vs perennial fitness threshold | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 485 | 469 | Maturity Ratio | Life History | $L_{\alpha} / L_{\infty} \approx 0.65$ | Stearns' size-at-maturity invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 486 | 470 | Allocation Law | Life History | $T = R + S + G$ | Fundamental biological energy trade-off | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 487 | 471 | Euler-Lotka Eq | Demography | $\sum e^{-rx} l_x m_x = 1$ | Universal fitness and growth identity | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 488 | 472 | Rescorla-Wagner | Psychology | $\Delta V = \alpha \beta (\lambda - \sum V)$ | Prediction-error based learning law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 489 | 473 | Cognitive Lévy | Cognitive Science | $P(l) \sim l^{-\mu}$ | Heavy-tailed information search law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 490 | 474 | Cognitive MVT | Foraging Theory | $R'(t^*) = R(t^*)/(t^*+\tau)$ | Optimal category-switching invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 491 | 475 | SAM Probability | Evolutionary Biology | $P(i | Q) \propto S(Q, i)$ | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 492 | 476 | Gouy-Stodola | Thermodynamics | $I = T_0 S_{gen}$ | Metabolic lost-work exergy destruction | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 493 | 477 | MinEnt Prod | Thermodynamics | $\dot{S}_{gen} \to \min$ | Prigogine's steady-state stability law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 494 | 478 | MaxEnt Prod | Thermodynamics | $\dot{S}_{gen} \to \max$ | Ziegler's far-from-equilibrium drive | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 495 | 479 | Useful Work | Thermodynamics | $W_{actual} = W_{max} - I$ | Thermodynamic metabolic efficiency law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 496 | 480 | Corner's Law | Ecology | $A_{la} = \alpha A_{cs}^\beta$ | Stem-leaf coordinative architecture | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 497 | 481 | Pipe Model | Botany | $A(z) = c W_L(z)$ | Botanical vascular cross-section law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 498 | 482 | Cavitation Law | Fluid Dynamics | $PLC = f(\psi, \psi_{50})$ | Xylem hydraulic vulnerability invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 499 | 483 | Species-Area Law | Ecology | $S = c A^z$ | Arrhenius richness scaling invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 500 | 484 | Cell Prestress | Biomechanics | $G \approx k \sigma_0$ | Tensegrity-based stiffness tuning law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 501 | 485 | Reciprocal Yield | Agriculture | $1/w = a + bd$ | Shinozaki-Kira biomass saturation law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 502 | 486 | Noble Model | Cardiac Physiology | $C_m \dot{V} = -\sum I_{ion}$ | First cardiac action potential model | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 503 | 487 | Gating Dynamics | Neuroscience | $\dot{x} = \alpha_x(1-x) - \beta_x x$ | Noble ion channel state transitions | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 504 | 488 | Inward Rectifier | Biophysics | $g_{K1} = f(V)$ | Noble voltage-dependent K-conductance | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 505 | 489 | Stevens' 3/2 Law | Perception | $N_{out} \propto N_{in}^{3/2}$ | Cortical dimensionality expansion law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 506 | 490 | White Matter Law | Neuroscience | $V_w \propto V_g^{4/3}$ | Neural wiring volume scaling invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 507 | 491 | Rall's 3/2 Law | Neuroscience | $\sum d_d^{1.5} = d_p^{1.5}$ | Dendritic impedance matching invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 508 | 492 | Synaptic Invariant | Neuroscience | $Syn / Pair \approx 1$ | Sparse connectivity discriminatory rule | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 509 | 493 | Multi-Hit Law | Radiation Biology | $P \approx 1 - e^{-kt^n}$ | Knudson's oncogenesis probability law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 510 | 494 | MCA Elasticity | Metabolism | $\epsilon^v_s = \partial \ln v / \partial \ln s$ | Local enzyme-metabolite sensitivity | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 511 | 495 | Connectivity Thm | Network Theory | $\sum C^J \epsilon = 0$ | Flux control-elasticity link identity | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 512 | 496 | Price Selection | Evolutionary Biology | $S = Cov(w, z) / \bar{w}$ | Fitness-trait covariance selection law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 513 | 497 | Reichardt Detect | Vision Science | $R = I_1 I_2' - I_1' I_2$ | Biological motion correlation law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 514 | 498 | ACO Transition | Chemistry | $P \propto \tau^\alpha \eta^\beta$ | Probabilistic ant-trail following law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 515 | 499 | Pheromone Law | Chemical Ecology | $\tau \leftarrow (1-\rho)\tau + \Delta \tau$ | Evaporation-deposition optimization law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 516 | 500 | Donachie Rule | Cell Biology | $M_{init} / n_{ori} \approx \text{const}$ | DNA replication initiation invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 517 | 501 | Cell Size Law | Cell Biology | $S = S_0 2^{(C+D)/\tau}$ | Cooper-Helmstetter size-growth law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 518 | 502 | Adder Principle | Cell Biology | $V_{div} = V_{birth} + \Delta V$ | Incremental cellular volume addition law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 519 | 503 | Wright's Gradient | Evolutionary Biology | $\dot{q} = \frac{q(1-q)}{2\bar{w}} \nabla \bar{w}$ | Evolutionary landscape ascent law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 520 | 504 | Mean Fitness | Evolutionary Biology | $\bar{w} = \sum p_i^2 w_{ii} + \dots$ | Adaptive landscape value identity | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 521 | 505 | SBT Drift | Evolutionary Biology | $4N_e s < 1$ | Shifting balance exploratory condition | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 522 | 506 | Amari Neural Field | Neuroscience | $\tau \dot{u} = -u + \int wf(u) + I$ | Continuous population activity law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 523 | 507 | Mexican Hat Kernel | Neuroscience | $w(x) = \text{Exc} - \text{Inh}$ | Local-excitation lateral-inhibition law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 524 | 508 | Sigmoid Activity | Neuroscience | $f(u) = 1/(1+e^{-\beta(u-h)})$ | Nonlinear population response invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 525 | 509 | Shell Spiral Law | Biophysics | $r = a e^{b\theta}$ | Logarithmic gnomonic growth invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 526 | 510 | Mass Action Law | Chemistry | $Rate = k [A] [B]$ | Fundamental biological kinetic law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 527 | 511 | Equilibrium Invariant | Thermodynamics | $K_{eq} = [P]/[R]$ | Thermodynamic steady-state identity | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 528 | 512 | Malthusian Law | Demography | $P(t) = P_0 e^{rt}$ | Unlimited exponential growth invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 529 | 513 | Hayflick Limit | Cell Biology | $L_n = L_0 - n\Delta L$ | Replicative telomere shortening law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 530 | 514 | Senescence Rule | Gerontology | $L_n \le L_{crit}$ | Critical mass cell division arrest law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 531 | 515 | Sheldon Spectrum | Oceanography | $B(M) \propto M^0$ | Constant biomass per size class law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 532 | 516 | Inverse Mass N | Ecology | $N(M) \propto M^{-1}$ | Mass-abundance scaling invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 533 | 517 | Productivity Law | Ecology | $P(M) \propto M^{-1/4}$ | Size-dependent biological production rate | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 534 | 518 | Fisher FGM Potential | Evolutionary Biology | $w(z) \propto e^{- | z | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 535 | 519 | Beneficial Prob | Evolutionary Biology | $P_a \approx 1 - \Phi(r\sqrt{n}/2d)$ | Fisher's geometric mutation law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 536 | 520 | Small Mutation Law | Evolutionary Biology | $r \to 0 \implies P_a \to 0.5$ | Gradualism in high-dimensional systems | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 537 | 521 | Complexity Cost | Evolutionary Biology | $P_a \propto 1/\sqrt{n}$ | Adaptation slowdown with trait count | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 538 | 522 | Gene Family Law | Genetics | $P(i) \propto i^{-\gamma}$ | Paralog size power law distribution | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 539 | 523 | Functional Scale | Evolutionary Biology | $N_c \propto G^\alpha$ | Functional category non-linear scaling | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 540 | 524 | BDIM Dynamics | Evolutionary Biology | $\dot{n}_i = f(\lambda, \delta)$ | Birth-death-innovation genome drift | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 541 | 525 | Margalef Index | Ecology | $D = (S-1) / \ln N$ | Sample-size corrected species richness | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 542 | 526 | Shannon Index | Ecology | $H' = -\sum p_i \ln p_i$ | Information-theoretic community uncertainty | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 543 | 527 | Info-Stability | Information Theory | $Flow \propto 1/Info$ | Margalef's stability-complexity law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 544 | 528 | Info-Shedding | Information Theory | $\dot{D} \propto -Stress$ | Diversity loss as energy-saving strategy | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 545 | 529 | Drake's Rule | Evolutionary Biology | $u \cdot G \approx 0.003$ | Universal genomic mutation fidelity law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 546 | 530 | Drift-Barrier | Evolutionary Biology | $\log(N_e u) \sim \log G$ | Non-coding DNA expansion scaling law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 547 | 531 | Minimal Genome | Genetics | $G_{min} = N_{inf} + N_{met}$ | Theoretical gene count floor for life | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 548 | 532 | Effective Info | Information Theory | $C = G(1-R)$ | Redundancy-weighted genomic complexity | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 549 | 533 | Constrained TEE | Thermodynamics | $TEE = BMR + (1-C)PAEE$ | Pontzer's metabolic budget reallocation | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 550 | 534 | Metabolic Ceiling | Metabolism | $TEE_{max} \approx 2.5 BMR$ | Alimentary limit on long-term endurance | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 551 | 535 | Metabolic Scope | Metabolism | $PAL = TEE / BMR$ | Sustainable energy throughput invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 552 | 536 | Droop Equation | Microbiology | $\mu(Q) \propto 1 - Q_0/Q$ | Internal nutrient quota growth law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 553 | 537 | Herbert's Law | Ecology | $Q = 1/Y = \text{const}$ | Constant cell composition invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 554 | 538 | Quota Dynamics | Ecology | $\dot{Q} = \rho(S) - \mu Q$ | Decoupled uptake-growth kinetics | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 555 | 539 | Homeostatic Eq | Physiology | $y = c x^{1/H}$ | Sterner-Elser nutrient regulation law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 556 | 540 | Damuth's Law | Ecology | $N \propto M^{-3/4}$ | Population density-mass scaling law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 557 | 541 | Unified Metab | Metabolism | $B \propto M^{3/4} e^{-E/kT}$ | Temperature-mass unified scaling law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 558 | 542 | Minimum Volume | Biophysics | $V_{cell} \ge \sum V_{mach}$ | Physical floor for autonomous life | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||
| 559 | 543 | Locomotion Speed | Biomechanics | $V \propto M^{1/6}$ | Bejan's universal movement law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 560 | 544 | Movement Freq | Biomechanics | $f \propto M^{-1/6}$ | Universal stride/stroke frequency law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 561 | 545 | Diffusion Speed | Biophysics | $t \approx x^2 / 2D$ | Passive transport speed limit law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_L_APPLICATION | physical_bind | ||
| 562 | 546 | Rubisco Limit | Plant Physiology | $A_c = f(V_{cmax}, C_c, O)$ | Calvin cycle carboxylation capacity | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 563 | 547 | RuBP Regen | Plant Physiology | $A_j \approx J/4$ | Electron transport regeneration law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 564 | 548 | Ball-Berry Law | Plant Physiology | $g_s = g_0 + m Ah/C$ | Stomatal conductance regulation rule | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 565 | 549 | Intrinsic WUE | Plant Physiology | $iWUE = A_n / g_s$ | Carbon-water compromise efficiency | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 566 | 550 | Light Response | Plant Physiology | $P_n = \frac{\alpha I P_{max}}{\alpha I + P_{max}}$ | Photosynthesis-irradiance saturation law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 567 | 551 | Reed-Frost Law | Epidemiology | $C_{t+1} = S_t(1 - q^{C_t})$ | Chain-binomial infection spread law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 568 | 552 | Trophic Wave | Ecology | $\dot{\Phi} + \nabla \cdot (K \Phi) = -\mu \Phi$ | Continuous biomass flow spectrum law | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_A_COMPRESSION | informational_bind | ||
| 569 | 553 | Trophic Kinetic | Ecology | $K = P/B$ | Biomass transfer velocity invariant | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_F_CONTROL | control_bind | ||
| 570 | 554 | Boltzmann State Weighting | Statistical Mechanics | $P_i = \frac{e^{-\Delta G_i / RT}}{\sum_j e^{-\Delta G_j / RT}}$ | Multi-conformer weighting for state prediction | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||
| 571 | 555 | Rubric-as-Reward (RaR) | Machine Learning | $R(\tau) = \sum w_j \cdot f_{judge}(\tau, r_j)$ | Trajectory-based semantic reward for agent training | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_M_LEAN_SEMANTICS | agent_bind | ||
| 572 | 556 | Global Metric Learning (GML) | Machine Learning | $d_M^2 = (x_i - x_j)^T L^T L (x_i - x_j)$ | Mahalanobis metric optimization on PSD manifolds | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_M_LEAN_SEMANTICS | metric_bind | ||
| 573 | 557 | Equation Chain (YEC) | Logic | $0 \to 1 \to X \to 1 \to 0$ | Structural lifecycle of mathematical identity and balance | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||
| 574 | 558 | Differential Spectral Correction (DSC) | Signal Processing | $x_L' = x_L + s \cdot (x_L - y_L)$ | Mitigating SNR-t bias via wavelet-domain low-frequency adjustment | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_K_SIGNAL | signal_bind | ||
| 575 | 559 | Autogenetic Update Rule | Agent Logic | $\mathcal{A}_{t+1} = \mathcal{A}_t + \eta \nabla_{\mathcal{A}} [\mathcal{M}_t + \Phi]$ | Recursive self-modification of agent architecture and meta-objectives | docs/MATH_MODEL_MAP.md | Documented | ✅ | LAYER_M_LEAN_SEMANTICS | agent_bind | ||
| 576 | 560 | Anisotropy_Gradient | Compression | Anisotropy_i = Var(P(transition | feature_i)) / Mean(P(transition | feature_i)) | P=transition probability, feature_i=feature index | Quantifying directional bias in feature-byte transitions for Hutter Prize optimization. | data/germane/research/hutter/ANISOTROPIC_FEATURE_GENOME.md | HINT | ⚠️ | - | LAYER_A_COMPRESSION | informational_bind |
| 577 | 561 | Procedural_Mirror_Seed | Compression | seed = (entropy * φ + spectral_density * π + log(size+1) / φ) mod 1.0 * 2^64 | φ=golden ratio, π=pi, S=size | Selecting regime-based LUT strategies from global corpus metrics. | data/germane/research/hutter/ANISOTROPIC_FEATURE_GENOME.md | HINT | ⚠️ | - | LAYER_A_COMPRESSION | informational_bind |
| 578 | 562 | Energy_Aware_Scheduling | Thermodynamic | energy(block) = -log2(P(block) / max(P(all_blocks))) | P=block probability | Ordering speculative decompressor forks by thermodynamic cost. | data/germane/research/hutter/ENERGY_AWARE_DECOMPRESSION.md | HINT | ⚠️ | - | LAYER_G_ENERGY | thermodynamic_bind |
| 579 | 563 | Surprise_Regret_Score | Cognitive Load | Score = log(P) - λ · (α·surprise + β·regret) | P=probability, λ=sensitivity, α,β=weights | Homeostatic decision gating for the Waveprobe kernel. | data/germane/research/hutter/COGNITIVE_THERMO_README.md | HINT | ⚠️ | - | LAYER_A_COMPRESSION | informational_bind |
| 580 | 564 | aiscroll/ricci_flow_and_turbulence | Manifold Evolution | ∂_t g_ij = -2 Ric_ij + μ T_ij | g_ij=metric, Ric=curvature, T=turbulence | Ricci flow with turbulence forcing | data/substrate_index.db | Manual | ✅ | 82,84,37 | LAYER_J_DYNAMICS | geometric_bind |
| 581 | 567 | Manifold_LittleLaw | Manifold Networking | L = λ · W | L=average queue length, λ=arrival rate, W=average waiting time | Little's Law applied to manifold queue states | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | 566 | LAYER_B_ROUTING | informational_bind |
| 582 | 568 | Manifold_TokenBucket | Manifold Networking | tokens_{t+1} = min(bucketSize, tokens_t + rate·Δt - cost) | tokens=current tokens, rate=refill rate, cost=consume cost, Δt=time delta | Token bucket mathematics for information density conservation | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | 567,570 | LAYER_A_COMPRESSION | informational_bind |
| 583 | 569 | Manifold_AIMD | Manifold Networking | cwnd_{t+1} = cwnd_t + additiveIncrease (no congestion) OR cwnd_t · multiplicativeDecrease (congestion) | cwnd=congestion window, additiveIncrease=increment per RTT, multiplicativeDecrease=fraction on loss | AIMD congestion control adapted to manifold topology | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | 566,568 | LAYER_F_CONTROL | control_bind |
| 584 | 570 | Manifold_CUBIC | Manifold Networking | cwnd(t) = C·(t - K)³ + wmax | K = cube_root(wmax·(1-β)/C), wmax=window before congestion, β=decrease factor, C=scaling constant | CUBIC congestion control with cube root growth function | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | 566,569 | LAYER_F_CONTROL | control_bind |
| 585 | 571 | Manifold_Routing | Manifold Routing | cost(path) = Σ_i (curvature_i·α + torsion_i·β + density_i·γ) | curvature=manifold curvature, torsion=manifold torsion, density=information density, α,β,γ=weights | Non-normal manifold routing based on geometric topology | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | 566 | LAYER_C_TOPOLOGY | geometric_bind |
| 586 | 572 | Flat_Limit_Test | Manifold Networking Test | κ=0 ∧ τ=0 ∧ paths=1 → ordinary_queue_behavior | κ=curvature, τ=torsion | Test that flat manifold routing reduces to ordinary queue behavior | tools/lean/Semantics/Semantics/FlatLimitTest.lean | Lean | ✅ | 566,571 | LAYER_C_TOPOLOGY | geometric_bind |
| 587 | 573 | Conservation_Test | Manifold Networking Test | tokens_{t+1} ≥ 0 ∧ tokens_{t+1} ≤ bucketSize | tokens=current tokens, bucketSize=max capacity | Test that information density does not silently vanish or duplicate | tools/lean/Semantics/Semantics/ConservationTest.lean | Lean | ✅ | 568 | LAYER_A_COMPRESSION | informational_bind |
| 588 | 574 | Congestion_Stability_Test | Manifold Networking Test | cwnd_t ≤ cwnd_0 ∧ cwnd_t > 0 | cwnd=congestion window, cwnd_0=initial window | Test that AIMD and CUBIC remain bounded under high load | tools/lean/Semantics/Semantics/CongestionStabilityTest.lean | Lean | ✅ | 569,570 | LAYER_F_CONTROL | control_bind |
| 589 | 575 | Fairness_Test | Manifold Networking Test | density_low ≥ threshold_min | density_low=minimum path density, threshold_min=minimum acceptable density | Test that multiple manifold paths do not starve low-density routes | tools/lean/Semantics/Semantics/FairnessTest.lean | Lean | ✅ | 571 | LAYER_B_ROUTING | informational_bind |
| 590 | 576 | Phase_Ordering_Test | Manifold Networking Test | phase_{t+1} ≥ phase_t | phase=manifold phase flag | Test that phase-based flow does not create invalid causal shortcuts | tools/lean/Semantics/Semantics/PhaseOrderingTest.lean | Lean | ✅ | 571 | LAYER_D_INVARIANTS | control_bind |
| 591 | 577 | Adversarial_Topology_Test | Manifold Networking Test | κ > κ_critical ∨ τ > τ_critical → refuse/saturate/renormalize | κ=curvature, τ=torsion, κ_critical,τ_critical=thresholds | Test that extreme curvature/torsion routes are refused, saturated, or renormalized | tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean | Lean | ✅ | 571 | LAYER_C_TOPOLOGY | geometric_bind |
| 592 | 578 | PIST_Mass_Calculation | PIST | mass = a · b = t · (2k+1 - t) | k=shell index, t=offset, a=distance to lower square, b=distance to upper square | Quadratic hyperbola index measuring tension within shell interval | tools/lean/Semantics/Semantics/PIST.lean | Lean | ✅ | 579,580 | LAYER_C_TOPOLOGY | geometric_bind |
| 593 | 579 | PIST_Shell_Coordinate | PIST | n = k² + t, where 0 ≤ t ≤ 2k+1 | k=shell index, t=offset, n=natural number | Interval-local coordinate representation between consecutive squares | tools/lean/Semantics/Semantics/PIST.lean | Lean | ✅ | 578,580 | LAYER_C_TOPOLOGY | geometric_bind |
| 594 | 580 | PIST_Mirror_Involution | PIST | mirror(c) = {k, 2k+1-t} where mass(mirror(c)) = mass(c) | c=coordinate, k=shell index, t=offset | Symmetry operation preserving mass within shell | tools/lean/Semantics/Semantics/PIST.lean | Lean | ✅ | 578 | LAYER_D_INVARIANTS | geometric_bind |
| 595 | 581 | PIST_Phase_Classification | PIST | phase(c) = grounded if mass=0 else seismic | c=coordinate, mass=PIST mass | Discrete phase flag based on zero vs positive mass | tools/lean/Semantics/Semantics/PIST.lean | Lean | ✅ | 578,579 | LAYER_F_CONTROL | control_bind |
| 596 | 582 | PIST_Resonance_Relation | PIST | Resonant(x,y) ↔ mass(x) = mass(y) | x,y=coordinates | Equivalence relation for states with equal hyperbola index | tools/lean/Semantics/Semantics/PIST.lean | Lean | ✅ | 578 | LAYER_B_ROUTING | informational_bind |
| 597 | 583 | PIST_Lyapunov_Functional | PIST | potential(S) = mass(pos) + friction | S=state, pos=coordinate, friction=loss register | Energy-like functional guaranteeing strict descent for lawful transitions | tools/lean/Semantics/Semantics/PIST.lean | Lean | ✅ | 578,581 | LAYER_G_ENERGY | thermodynamic_bind |
| 598 | 584 | PIST_Hyperbola_Index | PIST | hyperbolaIndex(n) = a(n) · b(n) where a(n)=n-k², b(n)=(k+1)²-n, k=√n | n=natural number, k=floor(sqrt(n)) | Symmetric square-gap tension measure | tools/lean/Semantics/Semantics/PISTMachine.lean | Lean | ✅ | 578,579 | LAYER_C_TOPOLOGY | geometric_bind |
| 599 | 585 | PIST_Normalized_Tension | PIST | ρ(n) = a(n) / (2k+1) where k=√n | n=natural number, k=floor(sqrt(n)), a=distance to lower square | Tension ratio normalized by shell width [0,1] | tools/lean/Semantics/Semantics/PISTMachine.lean | Lean | ✅ | 578,584 | LAYER_G_ENERGY | thermodynamic_bind |
| 600 | 586 | PIST_Zero_Mass_Theorem | PIST | mass(c) = 0 ↔ t=0 ∨ t=2k+1 | c=coordinate, t=offset, k=shell index | Characterization of zero mass at shell endpoints | tools/lean/Semantics/Semantics/PIST.lean | Lean | ✅ | 578,579 | LAYER_D_INVARIANTS | geometric_bind |
| 601 | 587 | PIST_Positive_Mass_Theorem | PIST | 0 < mass(c) ↔ 0 < t ∧ t < 2k+1 | c=coordinate, t=offset, k=shell index | Positive mass equivalent to being strictly inside shell | tools/lean/Semantics/Semantics/PIST.lean | Lean | ✅ | 578,586 | LAYER_D_INVARIANTS | geometric_bind |
| 602 | 588 | PIST_Shell_Endpoints | PIST | lower(k) = {k,0}, upper(k) = {k,2k+1} | k=shell index | Left and right shell boundary coordinates | tools/lean/Semantics/Semantics/PIST.lean | Lean | ✅ | 578,579 | LAYER_C_TOPOLOGY | geometric_bind |
| 603 | 589 | PIST_LogEntry | PIST | LogEntry = {before, after, move, preservedMass} | before/after=coordinates, move=transition type, preservedMass=boolean | Append-only history tracking for state transitions | tools/lean/Semantics/Semantics/PIST.lean | Lean | ✅ | 582,583 | LAYER_B_ROUTING | informational_bind |
| 604 | 590 | PIST_State_Penalize | PIST | friction_{t+1} = friction_t + penalty | friction=loss register, penalty=nonnegative | Increase friction on rejection with penalty accumulation | tools/lean/Semantics/Semantics/PIST.lean | Lean | ✅ | 583,589 | LAYER_F_CONTROL | control_bind |
| 605 | 591 | PIST_State_ResonanceJump | PIST | pos_{t+1} = target, mass(pos_t) = mass(target) | pos=coordinate, target=resonant coordinate | Jump to resonant coordinate preserving mass | tools/lean/Semantics/Semantics/PIST.lean | Lean | ✅ | 582,583,589 | LAYER_B_ROUTING | informational_bind |
| 606 | 593 | PIST_Kernel_Step | PIST | step(S,R) = ground(project(assimilate(S,bind)),R) | S=state, R=reality, bind=candidate, project=normalizer, ground=selector | One-step evolution with projection and grounding | tools/lean/Semantics/Semantics/PIST.lean | Lean | ✅ | 583,595 | LAYER_H_ALGEBRA | control_bind |
| 607 | 594 | PIST_Kernel_Strict_Descent | PIST | potential(step(S,R)) < potential(S) for nonterminal S | S=state, R=nonterminal | Nonterminal steps strictly decrease Lyapunov potential | tools/lean/Semantics/Semantics/PIST.lean | Lean | ✅ | 583,593 | LAYER_G_ENERGY | thermodynamic_bind |
| 608 | 595 | PIST_Projector | PIST | project(project(S)) = project(S) | S=state, project=idempotent normalizer | Idempotent projection operator for normalization | tools/lean/Semantics/Semantics/PIST.lean | Lean | ✅ | 593,594 | LAYER_D_INVARIANTS | control_bind |
| 609 | 596 | PIST_Grounder | PIST | ground : State → Reality → State | S=state, R=external reality | External grounding operator choosing next state from lawful candidates | tools/lean/Semantics/Semantics/PIST.lean | Lean | ✅ | 593,595 | LAYER_F_CONTROL | control_bind |
| 610 | 597 | PIST_Transition_PreservesMass | PIST | S.pos.mass = T.next.pos.mass | S=state, T=transition | Whether transition preserves shell mass at active coordinate | tools/lean/Semantics/Semantics/PIST.lean | Lean | ✅ | 591,598 | LAYER_D_INVARIANTS | geometric_bind |
| 611 | 598 | PIST_Transition_StrictlyDecreases | PIST | T.next.potential < S.potential | S=state, T=transition | Whether transition strictly decreases Lyapunov potential | tools/lean/Semantics/Semantics/PIST.lean | Lean | ✅ | 594,597 | LAYER_G_ENERGY | thermodynamic_bind |
| 612 | 599 | PIST_LawfulMove_Linear | PIST | friction unchanged, same shell k, t±1 step | friction=loss register, k=shell index, t=offset | One-step linear move within same shell | tools/lean/Semantics/Semantics/PIST.lean | Lean | ✅ | 597,598 | LAYER_C_TOPOLOGY | geometric_bind |
| 613 | 600 | PIST_LawfulMove_Crystallized | PIST | target.mass=0, friction=0 | target=coordinate, friction=loss register | Crystallization to zero-mass endpoint with zero friction | tools/lean/Semantics/Semantics/PIST.lean | Lean | ✅ | 588,599 | LAYER_D_INVARIANTS | geometric_bind |
| 614 | 601 | PIST_ClassifyPhase_With_Threshold | PIST | phase = grounded if m=0 else drift if ρ<α else seismic | m=mass, ρ=tension ratio, α=threshold | Phase classifier with drift band for low tension | tools/lean/Semantics/Semantics/PISTMachine.lean | Lean | ✅ | 581,585 | LAYER_F_CONTROL | control_bind |
| 615 | 602 | PIST_Mirror_Preserves_Mass_Theorem | PIST | hyperbolaIndex(mirror(n)) = hyperbolaIndex(n) | n=natural number, mirror=involution | Formal proof that mirror operation preserves hyperbola index | tools/lean/Semantics/Semantics/PISTMachine.lean | Lean | ✅ | 580,584 | LAYER_D_INVARIANTS | geometric_bind |
| 616 | 603 | PIST_Zero_Mass_Square_Theorem | PIST | hyperbolaIndex(n)=0 ↔ (√n)²=n | n=natural number | Zero mass iff n is a perfect square | tools/lean/Semantics/Semantics/PISTMachine.lean | Lean | ✅ | 584,586 | LAYER_D_INVARIANTS | geometric_bind |
| 617 | 605 | PIST_BlitterStep | PIST | M_{k+1} = M_k ⊕ (fa+fb)>>16 | M=manifold, fa,fb=vector field components, ⊕=bitwise XOR | Discrete Picard integral via bitwise accumulation (O(1) hardware) | tools/lean/Semantics/Semantics/PistBridge.lean | Lean | ✅ | 604 | LAYER_I_ENCODING | control_bind |
| 618 | 607 | PIST_SISS_Scatter | PIST | v_out = R(s_ij)·v_in | v=vector, R=reflection matrix, s_ij=tile seam | Scattering operator across tile boundaries | tools/lean/Semantics/Semantics/PistBridge.lean | Lean | ✅ | 606 | LAYER_C_BRAID | geometric_bind |
| 619 | 609 | PIST_Torsional_BetaStep | PIST | Δq3 = η·error, Δq1 = η·(q2-q1)·dt, energy = ||q1-q2||+||error|| | q=quaternions, η=learning rate, dt=timestep, error=target-q3 | Torsional beta step with backpropagation energy | tools/lean/Semantics/Semantics/TorsionalPIST.lean | Lean | ✅ | 608 | LAYER_H_ALGEBRA | geometric_bind |
| 620 | 610 | PIST_Torsional_RGFlow | PIST | recurse until energy < threshold, max depth N | energy=error norm, threshold=convergence criterion | Ricci flow-style descent on torsional energy landscape | tools/lean/Semantics/Semantics/TorsionalPIST.lean | Lean | ✅ | 608,609 | LAYER_J_DYNAMICS | geometric_bind |
| 621 | 611 | Quaternion_Addition | Quaternion Algebra | q1 + q2 = (w1+w2, x1+x2, y1+y2, z1+z2) | q=w+xi+yj+zk, component-wise addition | Quaternion addition operation | tools/lean/Semantics/Semantics/Quaternion.lean | Lean | ✅ | 612,613,614,615 | LAYER_H_ALGEBRA | algebraic_bind |
| 622 | 612 | Quaternion_Subtraction | Quaternion Algebra | q1 - q2 = (w1-w2, x1-x2, y1-y2, z1-z2) | q=w+xi+yj+zk, component-wise subtraction | Quaternion subtraction operation | tools/lean/Semantics/Semantics/Quaternion.lean | Lean | ✅ | 611,613,614,615 | LAYER_H_ALGEBRA | algebraic_bind |
| 623 | 613 | Quaternion_Multiplication | Quaternion Algebra | q1·q2 = (w1w2-x1x2-y1y2-z1z2, w1x2+x1w2+y1z2-z1y2, w1y2-x1z2+y1w2+z1x2, w1z2+x1y2-y1x2+z1w2) | q=w+xi+yj+zk, Hamiltonian product | Non-commutative Hamiltonian multiplication | tools/lean/Semantics/Semantics/Quaternion.lean | Lean | ✅ | 611,612,614,615,617 | LAYER_H_ALGEBRA | algebraic_bind |
| 624 | 614 | Quaternion_DotProduct | Quaternion Algebra | q1·q2 = w1w2 + x1x2 + y1y2 + z1z2 | q=w+xi+yj+zk, scalar dot product | Euclidean inner product in R⁴ | tools/lean/Semantics/Semantics/Quaternion.lean | Lean | ✅ | 611,612,613,615,617 | LAYER_H_ALGEBRA | algebraic_bind |
| 625 | 615 | Quaternion_NormApproximation | Quaternion Algebra | ||q|| ≈ max(|w|,|x|,|y|,|z|) + (3/8)·Σothers | q=w+xi+yj+zk, 4D octagonal norm | Approximate quaternion norm for hardware efficiency | tools/lean/Semantics/Semantics/Quaternion.lean | Lean | ✅ | 611,612,613,614,617 | LAYER_G_ENERGY | algebraic_bind |
| 626 | 616 | Quaternion_Conjugate | Quaternion Algebra | q* = w - xi - yj - zk | q=w+xi+yj+zk, sign flip of vector part | Quaternion conjugation operation | tools/lean/Semantics/Semantics/Quaternion.lean | Lean | ✅ | 611,612,613,614,615,617 | LAYER_H_ALGEBRA | algebraic_bind |
| 627 | 617 | Quaternion_ScalarMultiplication | Quaternion Algebra | s·q = (sw, sx, sy, sz) | s=scalar, q=w+xi+yj+zk | Scalar multiplication of quaternion | tools/lean/Semantics/Semantics/Quaternion.lean | Lean | ✅ | 611,612,613,614,615,616 | LAYER_H_ALGEBRA | algebraic_bind |
| 628 | 618 | Quaternion_Extension_Theorem | Quaternion Algebra | ext: q1=q2 ↔ w1=w2 ∧ x1=x2 ∧ y1=y2 ∧ z1=z2 | q=w+xi+yj+zk | Extensionality theorem for quaternion equality | tools/lean/Semantics/Semantics/Quaternion.lean | Lean | ✅ | 611,612,613,614,615,616,617 | LAYER_D_INVARIANTS | algebraic_bind |
| 629 | 619 | Q16_16_Saturated_From_Nat | Fixed-Point Arithmetic | satFromNat(n) = clamp(n/65536, -32768, 32767) | n=natural number, scale=65536 | Saturating conversion from natural to Q16.16 | tools/lean/Semantics/Semantics/Q16_16.lean | Lean | ✅ | 620,621,622,623,624,625,626,627,628,629,630,631,632 | LAYER_I_ENCODING | algebraic_bind |
| 630 | 620 | Q16_16_Addition | Fixed-Point Arithmetic | a + b = (a.val + b.val) with saturation | a,b=Q16.16 fixed-point | Saturating addition for fixed-point arithmetic | tools/lean/Semantics/Semantics/Q16_16.lean | Lean | ✅ | 619,621,622,623,624,625,626,627,628,629,630,631,632 | LAYER_I_ENCODING | algebraic_bind |
| 631 | 621 | Q16_16_Subtraction | Fixed-Point Arithmetic | a - b = (a.val - b.val) with saturation | a,b=Q16.16 fixed-point | Saturating subtraction for fixed-point arithmetic | tools/lean/Semantics/Semantics/Q16_16.lean | Lean | ✅ | 619,620,622,623,624,625,626,627,628,629,630,631,632 | LAYER_I_ENCODING | algebraic_bind |
| 632 | 622 | Q16_16_Multiplication | Fixed-Point Arithmetic | a × b = (a.val × b.val) >> 16 with saturation | a,b=Q16.16 fixed-point | Saturating multiplication with 16-bit right shift | tools/lean/Semantics/Semantics/Q16_16.lean | Lean | ✅ | 619,620,621,623,624,625,626,627,628,629,630,631,632 | LAYER_I_ENCODING | algebraic_bind |
| 633 | 623 | Q16_16_Division | Fixed-Point Arithmetic | a / b = (a.val << 16) / b.val with saturation | a,b=Q16.16 fixed-point, b≠0 | Saturating division with 16-bit left shift | tools/lean/Semantics/Semantics/Q16_16.lean | Lean | ✅ | 619,620,621,622,624,625,626,627,628,629,630,631,632 | LAYER_I_ENCODING | algebraic_bind |
| 634 | 624 | Q16_16_AbsoluteValue | Fixed-Point Arithmetic | |a| = if a.val < 0x80000000 then a else -a | a=Q16.16 fixed-point | Absolute value with sign handling | tools/lean/Semantics/Semantics/Q16_16.lean | Lean | ✅ | 619,620,621,622,623,625,626,627,628,629,630,631,632 | LAYER_I_ENCODING | algebraic_bind |
| 635 | 625 | Q16_16_Negation | Fixed-Point Arithmetic | -a = -a.val with saturation | a=Q16.16 fixed-point | Saturating negation operation | tools/lean/Semantics/Semantics/Q16_16.lean | Lean | ✅ | 619,620,621,622,623,624,626,627,628,629,630,631,632 | LAYER_I_ENCODING | algebraic_bind |
| 636 | 626 | Q16_16_FromNat | Fixed-Point Arithmetic | ofNat(n) = n × 65536 | n=natural number, scale=65536 | Convert natural number to Q16.16 fixed-point | tools/lean/Semantics/Semantics/Q16_16.lean | Lean | ✅ | 619,620,621,622,623,624,627,628,629,630,631,632 | LAYER_I_ENCODING | algebraic_bind |
| 637 | 627 | Q16_16_ToNat | Fixed-Point Arithmetic | toNat(q) = q.val / 65536 | q=Q16.16 fixed-point, scale=65536 | Convert Q16.16 fixed-point to natural number | tools/lean/Semantics/Semantics/Q16_16.lean | Lean | ✅ | 619,620,621,622,623,624,626,628,629,630,631,632 | LAYER_I_ENCODING | algebraic_bind |
| 638 | 628 | Q16_16_FromFrac | Fixed-Point Arithmetic | ofFrac(num,denom) = (num × 65536) / denom | num,denom=natural numbers | Convert fraction to Q16.16 fixed-point | tools/lean/Semantics/Semantics/Q16_16.lean | Lean | ✅ | 619,620,621,622,623,624,625,626,627,629,630,631,632 | LAYER_I_ENCODING | algebraic_bind |
| 639 | 629 | Q16_16_LessThan | Fixed-Point Arithmetic | a < b ↔ a.val < b.val | a,b=Q16.16 fixed-point | Comparison: less than | tools/lean/Semantics/Semantics/Q16_16.lean | Lean | ✅ | 619,620,621,622,623,624,625,626,627,628,630,631,632 | LAYER_D_INVARIANTS | algebraic_bind |
| 640 | 630 | Q16_16_LessEqual | Fixed-Point Arithmetic | a ≤ b ↔ a.val ≤ b.val | a,b=Q16.16 fixed-point | Comparison: less than or equal | tools/lean/Semantics/Semantics/Q16_16.lean | Lean | ✅ | 619,620,621,622,623,624,625,626,627,628,629,631,632 | LAYER_D_INVARIANTS | algebraic_bind |
| 641 | 631 | Q16_16_GreaterThan | Fixed-Point Arithmetic | a > b ↔ a.val > b.val | a,b=Q16.16 fixed-point | Comparison: greater than | tools/lean/Semantics/Semantics/Q16_16.lean | Lean | ✅ | 619,620,621,622,623,624,625,626,627,628,629,630,632 | LAYER_D_INVARIANTS | algebraic_bind |
| 642 | 632 | Q16_16_Equality_FixedPoint | Fixed-Point Arithmetic | a = b ↔ a.val = b.val | a,b=Q16.16 fixed-point | Comparison: equality check | tools/lean/Semantics/Semantics/Q16_16.lean | Lean | ✅ | 619,620,621,622,623,624,625,626,627,628,629,630,631 | LAYER_D_INVARIANTS | algebraic_bind |
| 643 | 633 | Q16_16_Minimum | Fixed-Point Arithmetic | min(a,b) = if a.val < b.val then a else b | a,b=Q16.16 fixed-point | Minimum of two fixed-point values | tools/lean/Semantics/Semantics/Q16_16.lean | Lean | ✅ | 619,620,621,622,623,624,625,626,627,628,629,630,631,632,634 | LAYER_D_INVARIANTS | algebraic_bind |
| 644 | 634 | Q16_16_Maximum | Fixed-Point Arithmetic | max(a,b) = if a.val > b.val then a else b | a,b=Q16.16 fixed-point | Maximum of two fixed-point values | tools/lean/Semantics/Semantics/Q16_16.lean | Lean | ✅ | 619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,635 | LAYER_D_INVARIANTS | algebraic_bind |
| 645 | 635 | Q16_16_Clamp | Fixed-Point Arithmetic | clamp(x,lo,hi) = max(lo, min(x,hi)) | x,lo,hi=Q16.16 fixed-point | Clamp value to range [lo,hi] | tools/lean/Semantics/Semantics/Q16_16.lean | Lean | ✅ | 619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634 | LAYER_D_INVARIANTS | algebraic_bind |
| 646 | 636 | Q16_16_SquareRoot | Fixed-Point Arithmetic | √x via Newton-Raphson iteration | x=Q16.16 fixed-point, x≥0 | Approximate square root using Newton's method | tools/lean/Semantics/Semantics/Q16_16.lean | Lean | ✅ | 619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635 | LAYER_G_ENERGY | algebraic_bind |
| 647 | 637 | PTOSManifest_Structure | DeltaGCL Compression | {version, timestamp, checksum, payload} | version=UInt8, timestamp=UInt64, checksum=UInt32, payload=List UInt8 | PTOS manifest structure for delta compression | tools/lean/Semantics/Semantics/DeltaGCLCompression.lean | Lean | ✅ | 638,639,640,641,642,643 | LAYER_A_COMPRESSION | informational_bind |
| 648 | 638 | DeltaEncoding_Structure | DeltaGCL Compression | {deltaFlag, changedFields, fieldDeltas} | deltaFlag=Bool, changedFields=List String, fieldDeltas=List UInt8 | Delta encoding structure for manifest changes | tools/lean/Semantics/Semantics/DeltaGCLCompression.lean | Lean | ✅ | 637,639,640,641,642,643 | LAYER_A_COMPRESSION | informational_bind |
| 649 | 639 | ComputeDelta_DeltaGCL | DeltaGCL Compression | delta = current ⊖ previous | current,previous=PTOSManifest, ⊖=delta operation | Compute delta between two PTOS manifests | tools/lean/Semantics/Semantics/DeltaGCLCompression.lean | Lean | ✅ | 637,638,640,641,642,643 | LAYER_A_COMPRESSION | informational_bind |
| 650 | 640 | ApplyPTOSDictionary | DeltaGCL Compression | encode(manifest) = 4-byte dictionary encoding | manifest=PTOSManifest | PTOS dictionary compression to 4 bytes | tools/lean/Semantics/Semantics/DeltaGCLCompression.lean | Lean | ✅ | 637,639,641,642,643 | LAYER_A_COMPRESSION | informational_bind |
| 651 | 641 | EncodeCodon_VariableLength | DeltaGCL Compression | encode(codon) = codon if known else 0xFF||codon | codon=String, 0xFF=escape byte | Variable-length codon encoding with escape mechanism | tools/lean/Semantics/Semantics/DeltaGCLCompression.lean | Lean | ✅ | 637,638,639,640,642,643 | LAYER_A_COMPRESSION | informational_bind |
| 652 | 642 | DeltaGCLSequence_Structure | DeltaGCL Compression | {marker, bytes, fieldCodes} | marker=Char ('F' or 'D'), bytes=List UInt8, fieldCodes=List UInt8 | Delta GCL sequence structure | tools/lean/Semantics/Semantics/DeltaGCLCompression.lean | Lean | ✅ | 637,638,639,640,641,643 | LAYER_A_COMPRESSION | informational_bind |
| 653 | 643 | EncodeToDeltaGCL | DeltaGCL Compression | encode(manifest, previous) = DeltaGCLSequence(manifest, previous) | manifest=PTOSManifest, previous=Option PTOSManifest | Encode manifest to Delta GCL format with optional previous | tools/lean/Semantics/Semantics/DeltaGCLCompression.lean | Lean | ✅ | 637,638,639,640,641,642,644,645,646 | LAYER_A_COMPRESSION | informational_bind |
| 654 | 644 | CompressionStats_Structure | DeltaGCL Compression | {originalLength, compressedLength, reduction} | originalLength=Nat, compressedLength=Nat, reduction=Nat | Compression statistics structure | tools/lean/Semantics/Semantics/DeltaGCLCompression.lean | Lean | ✅ | 637,638,639,640,641,642,643,645,646 | LAYER_A_COMPRESSION | informational_bind |
| 655 | 645 | CompressionStats_Calculation | DeltaGCL Compression | stats(original, deltaGCL) = {len(original), len(deltaGCL), len(original)-len(deltaGCL)} | original=String, deltaGCL=DeltaGCLSequence | Calculate compression statistics | tools/lean/Semantics/Semantics/DeltaGCLCompression.lean | Lean | ✅ | 637,638,639,640,641,642,643,644,646 | LAYER_A_COMPRESSION | informational_bind |
| 656 | 646 | ComputeDelta_Identical_Theorem | DeltaGCL Compression | computeDelta(m,m) = {deltaFlag=false, changedFields=[], fieldDeltas=[]} | m=PTOSManifest | Theorem: delta of identical manifests is empty | tools/lean/Semantics/Semantics/DeltaGCLCompression.lean | Lean | ✅ | 637,638,639,640,641,642,643,644,645 | LAYER_D_INVARIANTS | informational_bind |
| 657 | 647 | IntNode_Structure | Braid Field Theory | {val, left, right} | val=Int, left/right=IntNode | Integer node structure for braid topology | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | 648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666 | LAYER_C_TOPOLOGY | geometric_bind |
| 658 | 648 | IntNode_Addition | Braid Field Theory | add(a,b) = IntNode with merged structure | a,b=IntNode | Recursive addition of integer nodes | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | 647,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666 | LAYER_H_ALGEBRA | algebraic_bind |
| 659 | 649 | BettiCycle_Structure | Braid Field Theory | {cycle, index} | cycle=List IntNode, index=Nat | Betti cycle structure for homology computation | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | 647,648,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666 | LAYER_C_BRAID | geometric_bind |
| 660 | 650 | BettiCycleSet_Structure | Braid Field Theory | {cycles} | cycles=List BettiCycle | Set of Betti cycles | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | 647,648,649,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666 | LAYER_C_BRAID | geometric_bind |
| 661 | 652 | Mountain_Structure | Braid Field Theory | node(height, apex, base, inner) | height=Nat, apex=IntNode, base=List IntNode, inner=MMR | Mountain structure for braid topology | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | 647,648,649,650,651,653,654,655,656,657,658,659,660,661,662,663,664,665,666 | LAYER_C_TOPOLOGY | geometric_bind |
| 662 | 653 | Mountain_Height | Braid Field Theory | height(m) = tree height | m=Mountain | Height of mountain structure | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | 647,648,649,650,651,652,654,655,656,657,658,659,660,661,662,663,664,665,666 | LAYER_C_TOPOLOGY | geometric_bind |
| 663 | 654 | Mountain_Apex | Braid Field Theory | apex(m) = root node | m=Mountain | Apex (root) of mountain structure | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | 647,648,649,650,651,652,653,655,656,657,658,659,660,661,662,663,664,665,666 | LAYER_C_TOPOLOGY | geometric_bind |
| 664 | 655 | Mountain_Base | Braid Field Theory | base(m) = leaf nodes | m=Mountain | Base (leaves) of mountain structure | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | 647,648,649,650,651,652,653,654,656,657,658,659,660,661,662,663,664,665,666 | LAYER_C_TOPOLOGY | geometric_bind |
| 665 | 656 | Mountain_Inner | Braid Field Theory | inner(m) = MMR subtree | m=Mountain | Inner MMR structure | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | 647,648,649,650,651,652,653,654,655,657,658,659,660,661,662,663,664,665,666 | LAYER_C_TOPOLOGY | geometric_bind |
| 666 | 657 | Mountain_Merge | Braid Field Theory | merge(m1,m2) = combined mountain | m1,m2=Mountain | Recursive merge of mountain structures | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | 647,648,649,650,651,652,653,654,655,656,658,659,660,661,662,663,664,665,666 | LAYER_C_BRAID | geometric_bind |
| 667 | 658 | MMR_Append | Braid Field Theory | append(mmr,m) = mmr ++ m | mmr=MMR, m=Mountain | Append mountain to MMR (Multi-Mountain Range) | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | 647,648,649,650,651,652,653,654,655,656,657,659,660,661,662,663,664,665,666 | LAYER_C_BRAID | geometric_bind |
| 668 | 659 | PISTField_Structure | Braid Field Theory | {scale, mmr, mergeDebt, isStable, burden, geometry, adaptation, protection} | scale=Nat, mmr=MMR, mergeDebt=Nat, isStable=Bool, burden/geometry/adaptation/protection=Q16_16 | PIST field structure with cost metrics | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | 647,648,649,650,651,652,653,654,655,656,657,658,660,661,662,663,664,665,666 | LAYER_C_TOPOLOGY | geometric_bind |
| 669 | 660 | BurdenCost_Function | Braid Field Theory | burdenCost(load,target,metric) = |load-target|/target | load,target=Nat, metric=Metric | Burden cost based on load deviation from target | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | 647,648,649,650,651,652,653,654,655,656,657,658,659,661,662,663,664,665,666 | LAYER_B_ROUTING | control_bind |
| 670 | 661 | GeometryCost_Function | Braid Field Theory | geometryCost(curvature,ideal,metric) = |curvature-ideal|/ideal | curvature,ideal=Nat, metric=Metric | Geometry cost based on curvature deviation | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | 647,648,649,650,651,652,653,654,655,656,657,658,659,660,662,663,664,665,666 | LAYER_C_TOPOLOGY | control_bind |
| 671 | 662 | AdaptationCost_Function | Braid Field Theory | adaptationCost(current,optimal,metric) = |current-optimal|/optimal | current,optimal=Nat, metric=Metric | Adaptation cost based on deviation from optimal | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | 647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,663,664,665,666 | LAYER_F_CONTROL | control_bind |
| 672 | 663 | ProtectionCost_Function | Braid Field Theory | protectionCost(safety,threshold,metric) = max(0, threshold-safety)/threshold | safety,threshold=Nat, metric=Metric | Protection cost based on safety margin violation | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | 647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,664,665,666 | LAYER_E_VERIFICATION | control_bind |
| 673 | 664 | ComputePIST_Function | Braid Field Theory | computePIST(scale,mmr,mergeDebt,isStable) = PISTField with computed costs | scale=Nat, mmr=MMR, mergeDebt=Nat, isStable=Bool | Compute PIST field with all cost metrics | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | 647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,665,666 | LAYER_C_TOPOLOGY | geometric_bind |
| 674 | 665 | SpherionState_Structure | Braid Field Theory | {uvScale, mmr, mergeDebt, isStable, currentPIST, void} | uvScale=Nat, mmr=MMR, mergeDebt=Nat, isStable=Bool, currentPIST=PISTField, void=BettiCycleSet | Spherion state for topological evolution | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | 647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,666 | LAYER_J_DYNAMICS | geometric_bind |
| 675 | 666 | SpherionState_Init | Braid Field Theory | init(uvScale) = initial SpherionState | uvScale=Nat | Initialize Spherion state with UV scale | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | 647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665 | LAYER_J_DYNAMICS | geometric_bind |
| 676 | 667 | Genome_Structure | Adaptation Theory | {muBin, rhoBin, cBin, mBin, neBin, sigBin} | muBin,rhoBin,cBin,mBin,neBin,sigBin=Fin 4 | Genome structure for adaptive parameters | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | 668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689 | LAYER_F_CONTROL | control_bind |
| 677 | 668 | Genome_MuQ | Adaptation Theory | muQ(g) = 0x41·(muBin+1) | g=Genome, muBin=Fin 4 | Mu parameter quantization (0x41 scale) | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | 667,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689 | LAYER_F_CONTROL | control_bind |
| 678 | 669 | Genome_RhoQ | Adaptation Theory | rhoQ(g) = 0x2000·(rhoBin+1) | g=Genome, rhoBin=Fin 4 | Rho parameter quantization (0x2000 scale) | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | 667,668,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689 | LAYER_F_CONTROL | control_bind |
| 679 | 670 | Genome_CFac | Adaptation Theory | cFac(g) = 0x2000·(cBin+1) | g=Genome, cBin=Fin 4 | C parameter quantization (0x2000 scale) | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | 667,668,669,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689 | LAYER_F_CONTROL | control_bind |
| 680 | 671 | Genome_MFac | Adaptation Theory | mFac(g) = 0x2000·(mBin+1) | g=Genome, mBin=Fin 4 | M parameter quantization (0x2000 scale) | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | 667,668,669,670,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689 | LAYER_F_CONTROL | control_bind |
| 681 | 672 | Genome_NeRaw | Adaptation Theory | neRaw(g) = 0x4000·(neBin+1) | g=Genome, neBin=Fin 4 | Ne parameter quantization (0x4000 scale) | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | 667,668,669,670,671,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689 | LAYER_F_CONTROL | control_bind |
| 682 | 673 | Genome_SigQ | Adaptation Theory | sigQ(g) = 65536 + 0x4000·(sigBin+1) | g=Genome, sigBin=Fin 4 | Sigma parameter quantization with offset | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | 667,668,669,670,671,672,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689 | LAYER_F_CONTROL | control_bind |
| 683 | 674 | Genome_NeEff | Adaptation Theory | neEff(g) = neRaw(g)·(1 - cFac(g)/65536) | g=Genome | Effective Ne with cFac modulation | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | 667,668,669,670,671,672,673,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689 | LAYER_F_CONTROL | control_bind |
| 684 | 675 | Genome_IsLawful | Adaptation Theory | isLawful(g) = all bins ≤ 3 | g=Genome | Check if genome bins are in valid range | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | 667,668,669,670,671,672,673,674,676,677,678,679,680,681,682,683,684,685,686,687,688,689 | LAYER_D_INVARIANTS | control_bind |
| 685 | 676 | Genome_BetaStep | Adaptation Theory | betaStep(g) = increment bins with overflow wrap | g=Genome | One-step genome mutation (beta step) | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | 667,668,669,670,671,672,673,674,675,677,678,679,680,681,682,683,684,685,686,687,688,689 | LAYER_F_CONTROL | control_bind |
| 686 | 677 | Genome_IsScaleCoherent | Adaptation Theory | isScaleCoherent(g) = muQ·rhoQ·cFac·mFac·neEff·sigQ in valid range | g=Genome | Check if genome parameters are scale-coherent | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | 667,668,669,670,671,672,673,674,675,676,678,679,680,681,682,683,684,685,686,687,688,689 | LAYER_D_INVARIANTS | control_bind |
| 687 | 678 | FlowAudit_Structure | Adaptation Theory | {init, steps, final, eventuallyLawful, finalLawful} | init=Bool, steps=Nat, final=Genome, eventuallyLawful=Bool, finalLawful=Bool | Flow audit structure for genome evolution | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | 667,668,669,670,671,672,673,674,675,676,677,679,680,681,682,683,684,685,686,687,688,689 | LAYER_E_VERIFICATION | control_bind |
| 688 | 679 | FlowAudit_Function | Adaptation Theory | flowAudit(g,steps) = audit after n steps | g=Genome, steps=Nat | Run flow audit for n genome steps | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | 667,668,669,670,671,672,673,674,675,676,677,678,680,681,682,683,684,685,686,687,688,689 | LAYER_E_VERIFICATION | control_bind |
| 689 | 680 | FinalLawfulEqEventuallyLawful_Theorem | Adaptation Theory | finalLawful = eventuallyLawful by construction | Genome evolution audit | Theorem: final and eventual lawfulness are equal | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | 667,668,669,670,671,672,673,674,675,676,677,678,679 | LAYER_D_INVARIANTS | control_bind |
| 690 | 681 | VecN_Zero | Dynamic Canal Theory | VecN.zero = zero vector of length n | n=Nat, VecN n = Nat → Q16_16 | Zero vector in n-dimensional space | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 682,683,684,685,686 | LAYER_H_ALGEBRA | algebraic_bind |
| 691 | 682 | VecN_Add | Dynamic Canal Theory | vecAdd(a,b) = component-wise addition | a,b=VecN n | Vector addition in n-dimensional space | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 681,683,684,685,686 | LAYER_H_ALGEBRA | algebraic_bind |
| 692 | 683 | VecN_Sub | Dynamic Canal Theory | vecSub(a,b) = component-wise subtraction | a,b=VecN n | Vector subtraction in n-dimensional space | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 681,682,684,685,686 | LAYER_H_ALGEBRA | algebraic_bind |
| 693 | 684 | VecN_L1Norm | Dynamic Canal Theory | vecL1(v) = Σ_i |v_i| | v=VecN n | L1 norm (Manhattan distance) | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 681,682,683,685,686 | LAYER_G_ENERGY | algebraic_bind |
| 694 | 685 | VecN_MaxAbs | Dynamic Canal Theory | vecMaxAbs(v) = max_i |v_i| | v=VecN n | Maximum absolute value component | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 681,682,683,684,686 | LAYER_D_INVARIANTS | algebraic_bind |
| 695 | 686 | VecN_DotProduct | Dynamic Canal Theory | vecDot(a,b) = Σ_i a_i·b_i | a,b=VecN n | Euclidean dot product in n-dimensional space | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 681,682,683,684,685 | LAYER_H_ALGEBRA | algebraic_bind |
| 696 | 687 | DIAT_Structure | Dynamic Canal Theory | {shell, offset} | shell=Nat, offset=Nat | DIAT (Distance Interval-Aware Type) structure | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 688,689,690 | LAYER_C_TOPOLOGY | geometric_bind |
| 697 | 688 | DIAT_IntegerSqrt | Dynamic Canal Theory | isqrt(n) = floor(√n) | n=UInt32 | Integer square root via Newton-Raphson | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 687,689,690 | LAYER_G_ENERGY | algebraic_bind |
| 698 | 689 | DIAT_Encode | Dynamic Canal Theory | encode(n) = {shell=√n, offset=n-shell²} | n=UInt32 | Encode natural number to DIAT coordinates | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 687,688,690 | LAYER_I_ENCODING | algebraic_bind |
| 699 | 690 | DIAT_ShellWidth | Dynamic Canal Theory | shellWidth(d) = 2·shell+1 | d=DIAT | Width of shell interval | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 687,688,689 | LAYER_C_TOPOLOGY | geometric_bind |
| 700 | 691 | DIAT_NormA | Dynamic Canal Theory | normA(d) = offset/shellWidth | d=DIAT | Normalized offset within shell | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 687,688,689,690 | LAYER_G_ENERGY | algebraic_bind |
| 701 | 692 | DynamicCanalLambda | Dynamic Canal Theory | λ(p,pressure) = saturation + (1-σ)·pressure·e^(-pressure) | p=KernelParams, pressure=Q16_16, σ=deformability | Dynamic canal lambda function for pressure response | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 693,694,695,696 | LAYER_F_CONTROL | control_bind |
| 702 | 693 | CanalCompliance | Dynamic Canal Theory | compliance(p,pressure) = λ(p,pressure)·pressure | p=KernelParams, pressure=Q16_16 | Canal compliance as function of pressure | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 692,694,695,696 | LAYER_F_CONTROL | control_bind |
| 703 | 694 | CanalWidth | Dynamic Canal Theory | width(p,base,pressure) = base·compliance(p,pressure) | p=KernelParams, base=Q16_16, pressure=Q16_16 | Canal width response to pressure | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 692,693,695,696 | LAYER_C_TOPOLOGY | geometric_bind |
| 704 | 695 | EdgeEval_Structure | Dynamic Canal Theory | {edge, surprise, regret, stress} | edge=Edge, surprise/regret/stress=Q16_16 | Edge evaluation with cognitive metrics | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 696,697,698,699,700,701,702,703,704 | LAYER_E_VERIFICATION | control_bind |
| 705 | 696 | SurpriseOf | Dynamic Canal Theory | surprise(ev) = -log(P(ev)) | ev=EdgeEval, P=probability | Surprise metric for edge evaluation | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 695,697,698,699,700,701,702,703,704 | LAYER_G_ENERGY | thermodynamic_bind |
| 706 | 697 | RegretOf | Dynamic Canal Theory | regret(ev) = max(0, optimal - actual) | ev=EdgeEval, optimal=best possible, actual=achieved | Regret metric for decision quality | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 695,696,698,699,700,701,702,703,704 | LAYER_G_ENERGY | thermodynamic_bind |
| 707 | 698 | StressOfEval | Dynamic Canal Theory | stress(p,ev) = λ·surprise + μ·regret | p=KernelParams, ev=EdgeEval, λ,μ=weights | Stress metric combining surprise and regret | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 695,696,697,699,700,701,702,703,704 | LAYER_G_ENERGY | thermodynamic_bind |
| 708 | 699 | EdgeScore | Dynamic Canal Theory | score(p,lane,ev) = -stress(p,ev) - bandwidthCost | p=KernelParams, lane=Lane, ev=EdgeEval | Edge scoring for lane selection | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 695,696,697,698,700,701,702,703,704 | LAYER_B_ROUTING | control_bind |
| 709 | 700 | ClassifyRegime | Dynamic Canal Theory | regime = classify(p,lane,chosen) | p=KernelParams, lane=Lane, chosen=Edge | Classify flow regime based on edge choice | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 695,696,697,698,699,701,702,703,704 | LAYER_F_CONTROL | control_bind |
| 710 | 701 | Q16_16_Add_Total_Theorem | Dynamic Canal Theory | ∃c, Q16_16.add(a,b) = c | a,b=Q16_16 | Totality theorem for Q16.16 addition | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 702,703,704,705 | LAYER_D_INVARIANTS | algebraic_bind |
| 711 | 702 | Q16_16_Sub_Total_Theorem | Dynamic Canal Theory | ∃c, Q16_16.sub(a,b) = c | a,b=Q16_16 | Totality theorem for Q16.16 subtraction | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 701,703,704,705 | LAYER_D_INVARIANTS | algebraic_bind |
| 712 | 703 | Q16_16_Mul_Total_Theorem | Dynamic Canal Theory | ∃c, Q16_16.mul(a,b) = c | a,b=Q16_16 | Totality theorem for Q16.16 multiplication | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 701,702,704,705 | LAYER_D_INVARIANTS | algebraic_bind |
| 713 | 704 | Q16_16_Div_Total_Theorem | Dynamic Canal Theory | ∃c, Q16_16.div(a,b) = c | a,b=Q16_16, b≠0 | Totality theorem for Q16.16 division | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 701,702,703,705 | LAYER_D_INVARIANTS | algebraic_bind |
| 714 | 705 | DynamicCanalLambda_Total_Theorem | Dynamic Canal Theory | ∃c, λ(p,pressure) = c | p=KernelParams, pressure=Q16_16 | Totality theorem for dynamic canal lambda | tools/lean/Semantics/Semantics/DynamicCanal.lean | Lean | ✅ | 692,701,702,703,704 | LAYER_D_INVARIANTS | control_bind |
| 715 | 706 | Synaptic_Hotspot_Density | Neural Development | ρ(x,t) = ρ₀·exp(-(x-x₀)²/2σ²)·H(t-t_on)·H(t_off-t) | x=position along dendrite, t=time, x₀=hotspot center, σ=width, t_on=onset, t_off=offset, H=Heaviside | Gaussian density function for adolescent synaptic hotspot formation | docs/neuroscience/SYNAPTIC_HOTSPOT_DYNAMICS.md | Documented | ✅ | 707,708 | LAYER_B_ROUTING | control_bind |
| 716 | 707 | Adolescent_Formation_Rate | Neural Development | dρ/dt = α·(1-ρ/ρ_max)·H(t-t_on) - β·ρ·H(t-t_off) | α=formation rate, β=pruning rate, ρ_max=max density, t_on=adolescence onset, t_off=adolescence offset | Differential equation for synapse formation vs pruning during adolescence | docs/neuroscience/SYNAPTIC_HOTSPOT_DYNAMICS.md | Documented | ✅ | 706,708,709 | LAYER_B_ROUTING | control_bind |
| 717 | 708 | Pruning_Formation_Balance | Neural Development | B(t) = ∫₀ᵗ (α·H(τ-t_on) - β·H(τ-t_off)) dτ / (α+β) | Balance ratio between formation and pruning over time | Quantifies net synaptic change during developmental windows | docs/neuroscience/SYNAPTIC_HOTSPOT_DYNAMICS.md | Documented | ✅ | 706,707,709 | LAYER_B_ROUTING | control_bind |
| 718 | 709 | Mutation_Impact_Model | Neural Development | α_mut = α·(1-δ·I[mutation])·γ_layer | δ=impairment factor (0-1), I[mutation]=indicator for schizophrenia genes (Setd1a, Hivep2, Grin1), γ_layer=layer-specific coefficient (Layer 5=1.0) | Gene mutation effects on adolescent synapse formation rates | docs/neuroscience/SYNAPTIC_HOTSPOT_DYNAMICS.md | Documented | ✅ | 707,708,710 | LAYER_E_VERIFICATION | control_bind |
| 719 | 710 | Layer_Specific_Formation | Neural Development | γ_layer = {L1:0.2, L2/3:0.5, L4:0.8, L5:1.0, L6:0.6} | Cortical layer coefficients for hotspot formation propensity | Layer 5 neurons show highest hotspot formation (control center) | docs/neuroscience/SYNAPTIC_HOTSPOT_DYNAMICS.md | Documented | ✅ | 709 | LAYER_C_TOPOLOGY | control_bind |
| 720 | 711 | Local_Autonomy_Weight | Cephalopod Distributed | w_local = γ · (1 - s_central) | γ=autonomy coefficient (0.5-1.0), s_central=central signal strength [0,1] | Local decision weight inversely proportional to central control | docs/neuroscience/CEPHALOPOD_DISTRIBUTED_NEURAL.md | Documented | ✅ | 712,713 | LAYER_B_ROUTING | control_bind |
| 721 | 712 | Arm_Consensus | Cephalopod Distributed | consensus = Σ_i (w_i · state_i) / Σ w_i | w_i = w_local for arm i, state_i=local sensory state | Weighted consensus across semi-autonomous arms | docs/neuroscience/CEPHALOPOD_DISTRIBUTED_NEURAL.md | Documented | ✅ | 711,713 | LAYER_C_TOPOLOGY | control_bind |
| 722 | 713 | Distributed_Sensory_Integration | Cephalopod Distributed | sensory_map = ⊕_j local_sensory_j | ⊕=XOR fusion, local_sensory_j=arm j sensory input | XOR-based fusion without central bottleneck | docs/neuroscience/CEPHALOPOD_DISTRIBUTED_NEURAL.md | Documented | ✅ | 711,712 | LAYER_C_TOPOLOGY | control_bind |
| 723 | 714 | Peripheral_Neuron_Density | Cephalopod Distributed | ρ_peripheral = 0.67 · N_total | 67% of neurons in peripheral arms (vs central brain) | Quantifies distributed neural architecture | docs/neuroscience/CEPHALOPOD_DISTRIBUTED_NEURAL.md | Documented | ✅ | 711,712,713 | LAYER_C_TOPOLOGY | geometric_bind |
| 724 | 715 | EI_Imbalance_Autism | Neurodivergent | ξ = w_excite / w_inhibit; ξ_autism > ξ_neurotypical | ξ=E/I ratio, w_excite=excitatory synaptic weight, w_inhibit=inhibitory synaptic weight | Excitation/inhibition balance shifted toward excitation in autism | docs/neuroscience/NEURODIVERGENT_BRAIN_ARCHITECTURES.md | Documented | ✅ | 716,718 | LAYER_B_ROUTING | control_bind |
| 725 | 716 | Local_Long_Range_Connectivity_Autism | Neurodivergent | κ = f_local / f_long; κ_autism > 1, κ_neurotypical ≈ 1 | κ=connectivity ratio, f_local=local connectivity density, f_long=long-range connectivity density | Local over-connectivity with long-range under-connectivity in autism | docs/neuroscience/NEURODIVERGENT_BRAIN_ARCHITECTURES.md | Documented | ✅ | 715,718 | LAYER_C_TOPOLOGY | geometric_bind |
| 726 | 717 | Dopamine_Transport_Deficit | Neurodivergent | τ_clear = τ_normal / (1 - δ_adhd) | τ_clear=dopamine clearance time, δ_adhd=deficit factor (0.2-0.4), τ_normal=neurotypical clearance | Reduced dopamine transporter density in ADHD slows clearance | docs/neuroscience/NEURODIVERGENT_BRAIN_ARCHITECTURES.md | Documented | ✅ | 718,719 | LAYER_B_ROUTING | control_bind |
| 727 | 718 | Sensory_Filter_Threshold_Autism | Neurodivergent | θ_autism = θ_neurotypical · (1 - σ_hyper) | θ=sensory gating threshold, σ_hyper=hyper-sensitivity factor (0.3-0.6) | Lower sensory gating threshold in autism causes hyper-sensitivity | docs/neuroscience/NEURODIVERGENT_BRAIN_ARCHITECTURES.md | Documented | ✅ | 715,716,717,719 | LAYER_B_ROUTING | control_bind |
| 728 | 719 | Compensatory_Routing_Weight | Neurodivergent | w_comp = w_standard · (1 + λ_comp) | w_comp=compensatory pathway weight, w_standard=standard pathway weight, λ_comp=compensation factor (0.2-0.8) | Alternative neural pathway activation for standard functions in neurodivergent brains | docs/neuroscience/NEURODIVERGENT_BRAIN_ARCHITECTURES.md | Documented | ✅ | 717,718 | LAYER_C_TOPOLOGY | geometric_bind |
| 729 | 720 | AdvancedBio_freeEnergySurprisal | AdvancedBio | tools/lean/Semantics/Semantics/Extensions/AdvancedBioDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 730 | 721 | AdvancedBio_fisherDeltaFitness | AdvancedBio | tools/lean/Semantics/Semantics/Extensions/AdvancedBioDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 731 | 722 | AdvancedBio_neutralEvolutionRate | AdvancedBio | tools/lean/Semantics/Semantics/Extensions/AdvancedBioDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 732 | 723 | AdvancedBio_NeuralFieldState | AdvancedBio | tools/lean/Semantics/Semantics/Extensions/AdvancedBioDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 733 | 724 | AdvancedBio_wilsonCowanUpdate | AdvancedBio | tools/lean/Semantics/Semantics/Extensions/AdvancedBioDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 734 | 725 | AdvancedBio_remodelingError | AdvancedBio | tools/lean/Semantics/Semantics/Extensions/AdvancedBioDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 735 | 726 | AuditoryMasking_upperMaskingSlope | AuditoryMasking | tools/lean/Semantics/Semantics/Extensions/AuditoryMaskingDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 736 | 727 | AuditoryMasking_signalToMaskRatio | AuditoryMasking | tools/lean/Semantics/Semantics/Extensions/AuditoryMaskingDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 737 | 728 | AuditoryMasking_isSignalSalient | AuditoryMasking | tools/lean/Semantics/Semantics/Extensions/AuditoryMaskingDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 738 | 729 | AuditoryMasking_specificLoudness | AuditoryMasking | tools/lean/Semantics/Semantics/Extensions/AuditoryMaskingDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 739 | 730 | AuditoryMasking_totalLoudness | AuditoryMasking | tools/lean/Semantics/Semantics/Extensions/AuditoryMaskingDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 740 | 731 | BioPhotonics_fluenceRateUpdate | BioPhotonics | tools/lean/Semantics/Semantics/Extensions/BioPhotonicsDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 741 | 732 | BioPhotonics_photonEmissionRate | BioPhotonics | tools/lean/Semantics/Semantics/Extensions/BioPhotonicsDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 742 | 733 | BioPhotonics_lightIntensityAtDepth | BioPhotonics | tools/lean/Semantics/Semantics/Extensions/BioPhotonicsDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 743 | 734 | BiologicalControl_biologicalHamiltonian | BiologicalControl | tools/lean/Semantics/Semantics/Extensions/BiologicalControlDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 744 | 735 | BiologicalControl_satisfyRequisiteVariety | BiologicalControl | tools/lean/Semantics/Semantics/Extensions/BiologicalControlDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 745 | 736 | BiologicalControl_bellmanError | BiologicalControl | tools/lean/Semantics/Semantics/Extensions/BiologicalControlDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 746 | 737 | BiologicalControl_paretoEfficiency | BiologicalControl | tools/lean/Semantics/Semantics/Extensions/BiologicalControlDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 747 | 738 | BiologicalExergy_exergyDestruction | BiologicalExergy | tools/lean/Semantics/Semantics/Extensions/BiologicalExergyDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 748 | 739 | BiologicalExergy_minimumEntropyProductionUpdate | BiologicalExergy | tools/lean/Semantics/Semantics/Extensions/BiologicalExergyDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 749 | 740 | BiologicalExergy_maximumEntropyProductionRate | BiologicalExergy | tools/lean/Semantics/Semantics/Extensions/BiologicalExergyDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 750 | 741 | BiologicalExergy_actualMetabolicWork | BiologicalExergy | tools/lean/Semantics/Semantics/Extensions/BiologicalExergyDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 751 | 742 | BiologicalRegulation_fluxControlCoefficient | BiologicalRegulation | tools/lean/Semantics/Semantics/Extensions/BiologicalRegulationDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 752 | 743 | BiologicalRegulation_isControlLawful | BiologicalRegulation | tools/lean/Semantics/Semantics/Extensions/BiologicalRegulationDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 753 | 744 | BiologicalRegulation_adaptationUpdate | BiologicalRegulation | tools/lean/Semantics/Semantics/Extensions/BiologicalRegulationDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 754 | 745 | BiologicalRegulation_isAdapted | BiologicalRegulation | tools/lean/Semantics/Semantics/Extensions/BiologicalRegulationDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 755 | 746 | BiologicalRegulation_optimalRegulatoryMode | BiologicalRegulation | tools/lean/Semantics/Semantics/Extensions/BiologicalRegulationDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 756 | 747 | CancerMetabolic_cancerOnsetProb | CancerMetabolic | tools/lean/Semantics/Semantics/Extensions/CancerMetabolicDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 757 | 748 | CancerMetabolic_elasticityCoefficient | CancerMetabolic | tools/lean/Semantics/Semantics/Extensions/CancerMetabolicDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 758 | 749 | CancerMetabolic_checkConnectivityTheorem | CancerMetabolic | tools/lean/Semantics/Semantics/Extensions/CancerMetabolicDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 759 | 750 | CancerMetabolic_priceSelectionTerm | CancerMetabolic | tools/lean/Semantics/Semantics/Extensions/CancerMetabolicDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 760 | 751 | CardiacYield_averageBiomassWeight | CardiacYield | tools/lean/Semantics/Semantics/Extensions/CardiacYieldDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 761 | 752 | CardiacYield_totalBiomassYield | CardiacYield | tools/lean/Semantics/Semantics/Extensions/CardiacYieldDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 762 | 753 | CardiacYield_gatingVariableUpdate | CardiacYield | tools/lean/Semantics/Semantics/Extensions/CardiacYieldDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 763 | 754 | CardiacYield_nobleSodiumCurrent | CardiacYield | tools/lean/Semantics/Semantics/Extensions/CardiacYieldDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 764 | 755 | CardiacYield_nobleK1Conductance | CardiacYield | tools/lean/Semantics/Semantics/Extensions/CardiacYieldDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 765 | 756 | CellularSignaling_goldbeterKoshlandSwitch | CellularSignaling | tools/lean/Semantics/Semantics/Extensions/CellularSignalingDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 766 | 757 | CellularSignaling_MitoticState | CellularSignaling | tools/lean/Semantics/Semantics/Extensions/CellularSignalingDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 767 | 758 | CellularSignaling_tysonStep | CellularSignaling | tools/lean/Semantics/Semantics/Extensions/CellularSignalingDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 768 | 759 | CellularSignaling_molecularRepression | CellularSignaling | tools/lean/Semantics/Semantics/Extensions/CellularSignalingDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 769 | 760 | CellularSignaling_chemotacticFlux | CellularSignaling | tools/lean/Semantics/Semantics/Extensions/CellularSignalingDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 770 | 761 | CognitiveAcoustic_integratedInformationPhi | CognitiveAcoustic | tools/lean/Semantics/Semantics/Extensions/CognitiveAcousticDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 771 | 762 | CognitiveAcoustic_gnwGating | CognitiveAcoustic | tools/lean/Semantics/Semantics/Extensions/CognitiveAcousticDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 772 | 763 | CognitiveAcoustic_orchOrCollapseTime | CognitiveAcoustic | tools/lean/Semantics/Semantics/Extensions/CognitiveAcousticDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 773 | 764 | CognitiveAcoustic_sonarRange | CognitiveAcoustic | tools/lean/Semantics/Semantics/Extensions/CognitiveAcousticDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 774 | 765 | CognitiveAcoustic_gammatoneEnvelope | CognitiveAcoustic | tools/lean/Semantics/Semantics/Extensions/CognitiveAcousticDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 775 | 766 | CognitiveAcoustic_xenobotReplicationProb | CognitiveAcoustic | tools/lean/Semantics/Semantics/Extensions/CognitiveAcousticDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 776 | 767 | CognitiveLearning_associativeStrengthUpdate | CognitiveLearning | tools/lean/Semantics/Semantics/Extensions/CognitiveLearningDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 777 | 768 | CognitiveLearning_levySearchProbability | CognitiveLearning | tools/lean/Semantics/Semantics/Extensions/CognitiveLearningDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 778 | 769 | CognitiveLearning_isCognitiveSwitchOptimal | CognitiveLearning | tools/lean/Semantics/Semantics/Extensions/CognitiveLearningDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 779 | 770 | CognitiveLearning_memorySamplingProb | CognitiveLearning | tools/lean/Semantics/Semantics/Extensions/CognitiveLearningDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 780 | 771 | ConstrainedEnergy_constrainedTEE | ConstrainedEnergy | tools/lean/Semantics/Semantics/Extensions/ConstrainedEnergyDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 781 | 772 | ConstrainedEnergy_energyCompensationConstant | ConstrainedEnergy | tools/lean/Semantics/Semantics/Extensions/ConstrainedEnergyDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 782 | 773 | ConstrainedEnergy_metabolicCeiling | ConstrainedEnergy | tools/lean/Semantics/Semantics/Extensions/ConstrainedEnergyDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 783 | 774 | ConstrainedEnergy_metabolicScope | ConstrainedEnergy | tools/lean/Semantics/Semantics/Extensions/ConstrainedEnergyDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 784 | 775 | ConstrainedEnergy_maintenanceBudget | ConstrainedEnergy | tools/lean/Semantics/Semantics/Extensions/ConstrainedEnergyDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 785 | 776 | ConstructalMuscle_optimalBranchingRatio | ConstructalMuscle | tools/lean/Semantics/Semantics/Extensions/ConstructalMuscleDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 786 | 777 | ConstructalMuscle_muscleShorteningVelocity | ConstructalMuscle | tools/lean/Semantics/Semantics/Extensions/ConstructalMuscleDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 787 | 778 | ConstructalMuscle_totalMuscleForce | ConstructalMuscle | tools/lean/Semantics/Semantics/Extensions/ConstructalMuscleDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 788 | 779 | ConstructalMuscle_surfaceVolumeRatio | ConstructalMuscle | tools/lean/Semantics/Semantics/Extensions/ConstructalMuscleDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 789 | 780 | CorticalScaling_corticalNeuronScaling | CorticalScaling | tools/lean/Semantics/Semantics/Extensions/CorticalScalingDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 790 | 781 | CorticalScaling_whiteMatterScaling | CorticalScaling | tools/lean/Semantics/Semantics/Extensions/CorticalScalingDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 791 | 782 | CorticalScaling_isDendriticBranchLawful | CorticalScaling | tools/lean/Semantics/Semantics/Extensions/CorticalScalingDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 792 | 783 | CorticalScaling_synapsisPerPairInvariant | CorticalScaling | tools/lean/Semantics/Semantics/Extensions/CorticalScalingDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 793 | 784 | EcologicalInformation_margalefRichness | EcologicalInformation | tools/lean/Semantics/Semantics/Extensions/EcologicalInformationDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 794 | 785 | EcologicalInformation_shannonDiversity | EcologicalInformation | tools/lean/Semantics/Semantics/Extensions/EcologicalInformationDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 795 | 786 | EcologicalInformation_isSystemStable | EcologicalInformation | tools/lean/Semantics/Semantics/Extensions/EcologicalInformationDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 796 | 787 | EcologicalInformation_informationShedding | EcologicalInformation | tools/lean/Semantics/Semantics/Extensions/EcologicalInformationDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 797 | 788 | EcologicalNetwork_and | EcologicalNetwork | tools/lean/Semantics/Semantics/Extensions/EcologicalNetworkDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 798 | 789 | EcologicalNetwork_redfieldCheck | EcologicalNetwork | tools/lean/Semantics/Semantics/Extensions/EcologicalNetworkDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 799 | 790 | EcologicalNetwork_hollingType1 | EcologicalNetwork | tools/lean/Semantics/Semantics/Extensions/EcologicalNetworkDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 800 | 791 | EcologicalNetwork_hollingType2 | EcologicalNetwork | tools/lean/Semantics/Semantics/Extensions/EcologicalNetworkDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 801 | 792 | EcologicalNetwork_hollingType3 | EcologicalNetwork | tools/lean/Semantics/Semantics/Extensions/EcologicalNetworkDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 802 | 793 | EcologicalNetwork_networkConnectance | EcologicalNetwork | tools/lean/Semantics/Semantics/Extensions/EcologicalNetworkDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 803 | 794 | EcologicalNetwork_taylorsVariance | EcologicalNetwork | tools/lean/Semantics/Semantics/Extensions/EcologicalNetworkDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 804 | 795 | Epidemiological_basicReproductionNumber | Epidemiological | tools/lean/Semantics/Semantics/Extensions/EpidemiologicalDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 805 | 796 | Epidemiological_herdImmunityThreshold | Epidemiological | tools/lean/Semantics/Semantics/Extensions/EpidemiologicalDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 806 | 797 | Epidemiological_SIRState | Epidemiological | tools/lean/Semantics/Semantics/Extensions/EpidemiologicalDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 807 | 798 | Epidemiological_sirUpdate | Epidemiological | tools/lean/Semantics/Semantics/Extensions/EpidemiologicalDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 808 | 799 | EpidemiologicalTrophic_reedFrostNewCases | EpidemiologicalTrophic | tools/lean/Semantics/Semantics/Extensions/EpidemiologicalTrophicDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 809 | 800 | EpidemiologicalTrophic_trophicWaveUpdate | EpidemiologicalTrophic | tools/lean/Semantics/Semantics/Extensions/EpidemiologicalTrophicDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 810 | 801 | EpidemiologicalTrophic_trophicKinetics | EpidemiologicalTrophic | tools/lean/Semantics/Semantics/Extensions/EpidemiologicalTrophicDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 811 | 802 | EvolutionaryLandscape_frequencyChangeGradient | EvolutionaryLandscape | tools/lean/Semantics/Semantics/Extensions/EvolutionaryLandscapeDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 812 | 803 | EvolutionaryLandscape_populationMeanFitness | EvolutionaryLandscape | tools/lean/Semantics/Semantics/Extensions/EvolutionaryLandscapeDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 813 | 804 | EvolutionaryLandscape_isDriftDominant | EvolutionaryLandscape | tools/lean/Semantics/Semantics/Extensions/EvolutionaryLandscapeDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 814 | 805 | EvolutionaryLandscape_isAscendingPeak | EvolutionaryLandscape | tools/lean/Semantics/Semantics/Extensions/EvolutionaryLandscapeDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 815 | 806 | EvolutionaryNetwork_in | EvolutionaryNetwork | tools/lean/Semantics/Semantics/Extensions/EvolutionaryNetworkDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 816 | 807 | EvolutionaryNetwork_hawkDoveMixedStrategy | EvolutionaryNetwork | tools/lean/Semantics/Semantics/Extensions/EvolutionaryNetworkDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 817 | 808 | EvolutionaryNetwork_isStrategyStable | EvolutionaryNetwork | tools/lean/Semantics/Semantics/Extensions/EvolutionaryNetworkDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 818 | 809 | EvolutionaryNetwork_genusExtinctionRate | EvolutionaryNetwork | tools/lean/Semantics/Semantics/Extensions/EvolutionaryNetworkDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 819 | 810 | EvolutionaryNetwork_degreeProbability | EvolutionaryNetwork | tools/lean/Semantics/Semantics/Extensions/EvolutionaryNetworkDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 820 | 811 | EvolutionaryNetwork_attachmentWeight | EvolutionaryNetwork | tools/lean/Semantics/Semantics/Extensions/EvolutionaryNetworkDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 821 | 812 | EvolutionaryNetwork_isMutationNeutral | EvolutionaryNetwork | tools/lean/Semantics/Semantics/Extensions/EvolutionaryNetworkDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 822 | 813 | GenomicStoichiometric_adamiComplexity | GenomicStoichiometric | tools/lean/Semantics/Semantics/Extensions/GenomicStoichiometricDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 823 | 814 | GenomicStoichiometric_regulatoryGeneCount | GenomicStoichiometric | tools/lean/Semantics/Semantics/Extensions/GenomicStoichiometricDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 824 | 815 | GenomicStoichiometric_revelleFactor | GenomicStoichiometric | tools/lean/Semantics/Semantics/Extensions/GenomicStoichiometricDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 825 | 816 | GenomicStoichiometric_remineralizationOxygenRatio | GenomicStoichiometric | tools/lean/Semantics/Semantics/Extensions/GenomicStoichiometricDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 826 | 817 | LocomotionMuscle_strouhalNumber | LocomotionMuscle | tools/lean/Semantics/Semantics/Extensions/LocomotionMuscleDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 827 | 818 | LocomotionMuscle_isPropulsionEfficient | LocomotionMuscle | tools/lean/Semantics/Semantics/Extensions/LocomotionMuscleDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 828 | 819 | LocomotionMuscle_froudeNumber | LocomotionMuscle | tools/lean/Semantics/Semantics/Extensions/LocomotionMuscleDynamics.lean | Lean | ✅ | LAYER_J_DYNAMICS | thermodynamic_bind | ||||
| 829 | 820 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 830 | 821 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 831 | 822 | ASICTopology_ASICTopologyEdge | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 832 | 823 | ASICTopology_ASICTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 833 | 824 | ASICTopology_rtl8126Topology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 834 | 825 | ASICTopology_findNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 835 | 826 | ASICTopology_findEdgesFrom | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 836 | 827 | ASICTopology_geodesicDistance | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 837 | 828 | ASICTopology_ASICOptimalPath | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 838 | 829 | ASICTopology_findOptimalPath | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 839 | 830 | ASICTopology_Workload | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 840 | 831 | ASICTopology_AdmissibilityResult | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 841 | 832 | ASICTopology_checkOperationAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 842 | 833 | ASICTopology_checkWorkloadAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 843 | 834 | ASICTopology_AngrySphinxSafetyGate | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 844 | 835 | ASICTopology_applyAngrySphinxGate | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 845 | 836 | ASICTopology_ProjectionResult | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 846 | 837 | ASICTopology_projectWorkloadToTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 847 | 838 | ASICTopology_ASICToManifoldTranslation | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 848 | 839 | ASICTopology_ManifoldToASICTranslation | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 849 | 840 | ASICTopology_createASICToManifoldMapping | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 850 | 841 | ASICTopology_createManifoldToASICMapping | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 851 | 842 | ASICTopology_translateManifoldToASIC | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 852 | 843 | ASICTopology_translateASICToManifold | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 853 | 844 | ASICTopology_asicOptimizedAddressTranslation | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 854 | 845 | ASICTopology_asicOptimizedChecksum | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 855 | 846 | ASICTopology_ASICOptimizedInput | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 856 | 847 | ASICTopology_ASICOptimizedOutput | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 857 | 848 | ASICTopology_performASICOptimizedOperation | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 858 | 849 | ASICTopology_asicInputInvariant | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 859 | 850 | ASICTopology_asicOutputInvariant | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 860 | 851 | ASICTopology_asicOperationCost | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 861 | 852 | ASICTopology_asicBind | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 862 | 853 | ASICTopology_findNode_some_if_exists | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 863 | 854 | ASICTopology_findNode_none_if_not_exists | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 864 | 855 | ASICTopology_findEdgesFrom_sourceId_correct | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 865 | 856 | ASICTopology_arbitraryCompute_never_admissible | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 866 | 857 | ASICTopology_checkOperationAdmissibility_deterministic | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 867 | 858 | ASICTopology_ManifoldToASICChain | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 868 | 859 | ASICTopology_executeManifoldToASICChain | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 869 | 860 | AdversarialTopologyTest_AdversarialTopologyQuestion | AdversarialTopologyTest | tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 870 | 861 | AdversarialTopologyTest_AdversarialTopologyResult | AdversarialTopologyTest | tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 871 | 862 | AdversarialTopologyTest_adversarialTopologyQuizBank | AdversarialTopologyTest | tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 872 | 863 | AdversarialTopologyTest_runAdversarialTopologyQuiz | AdversarialTopologyTest | tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 873 | 864 | AdversarialTopologyTest_testAdversarialTopology | AdversarialTopologyTest | tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 874 | 865 | BraidBracket_PhaseVec | BraidBracket | tools/lean/Semantics/Semantics/BraidBracket.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 875 | 866 | BraidBracket_zero | BraidBracket | tools/lean/Semantics/Semantics/BraidBracket.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 876 | 867 | BraidBracket_add | BraidBracket | tools/lean/Semantics/Semantics/BraidBracket.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 877 | 868 | BraidBracket_neg | BraidBracket | tools/lean/Semantics/Semantics/BraidBracket.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 878 | 869 | BraidBracket_isZero | BraidBracket | tools/lean/Semantics/Semantics/BraidBracket.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 879 | 870 | CompressionControl_ControlState | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 880 | 871 | CompressionControl_confidenceThreshold | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 881 | 872 | CompressionControl_redThreshold | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 882 | 873 | CompressionControl_blueThreshold | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 883 | 874 | CompressionControl_updateConfidence | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 884 | 875 | CompressionControl_getControlFlag | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 885 | 876 | CompressionControl_canonicalized | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 886 | 877 | CompressionControl_pruneDecision | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 887 | 878 | CompressionControl_localUpdate | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 888 | 879 | CompressionControl_cacheUpdate | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 889 | 880 | CompressionControl_canonicalize | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 890 | 881 | CompressionControl_prune | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 891 | 882 | CompressionControl_controlStep | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 892 | 883 | CompressionControl_controlAdmissible | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 893 | 884 | CompressionControl_cachedCanonicalized | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 894 | 885 | CompressionControl_pruneSetsPruned | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 895 | 886 | CompressionControl_highConfidenceAdmissibleNotPruned | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 896 | 887 | CompressionControl_seenCacheCanonicalized | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 897 | 888 | CompressionControl_sampleControlState | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 898 | 889 | CompressionControl_sampleControlStep | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 899 | 890 | CompressionEvidence_BasisBudget | CompressionEvidence | tools/lean/Semantics/Semantics/CompressionEvidence.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 900 | 891 | CompressionEvidence_LocalEnvironment | CompressionEvidence | tools/lean/Semantics/Semantics/CompressionEvidence.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 901 | 892 | CompressionEvidence_mkLocalEnvironment | CompressionEvidence | tools/lean/Semantics/Semantics/CompressionEvidence.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 902 | 893 | CompressionEvidence_retainedBasisError | CompressionEvidence | tools/lean/Semantics/Semantics/CompressionEvidence.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 903 | 894 | CompressionEvidence_isBodyOrderedUpTo | CompressionEvidence | tools/lean/Semantics/Semantics/CompressionEvidence.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 904 | 895 | CompressionEvidence_withinResidualLimit | CompressionEvidence | tools/lean/Semantics/Semantics/CompressionEvidence.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 905 | 896 | CompressionEvidence_compressionAdmissible | CompressionEvidence | tools/lean/Semantics/Semantics/CompressionEvidence.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 906 | 897 | CompressionEvidence_energyDecomposesRetainedPlusResidual | CompressionEvidence | tools/lean/Semantics/Semantics/CompressionEvidence.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 907 | 898 | CompressionEvidence_retainedBasisErrorEqResidual | CompressionEvidence | tools/lean/Semantics/Semantics/CompressionEvidence.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 908 | 899 | CompressionEvidence_residualToleranceMonotone | CompressionEvidence | tools/lean/Semantics/Semantics/CompressionEvidence.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 909 | 900 | CompressionEvidence_admissibleOfEvidence | CompressionEvidence | tools/lean/Semantics/Semantics/CompressionEvidence.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 910 | 901 | CompressionEvidence_sampleBudget | CompressionEvidence | tools/lean/Semantics/Semantics/CompressionEvidence.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 911 | 902 | CompressionEvidence_sampleEnvironment | CompressionEvidence | tools/lean/Semantics/Semantics/CompressionEvidence.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 912 | 903 | CompressionEvidence_sampleResidualEnvironment | CompressionEvidence | tools/lean/Semantics/Semantics/CompressionEvidence.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 913 | 904 | CompressionLossComparison_UnifiedField | CompressionLossComparison | tools/lean/Semantics/Semantics/CompressionLossComparison.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 914 | 905 | CompressionLossComparison_denominator | CompressionLossComparison | tools/lean/Semantics/Semantics/CompressionLossComparison.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 915 | 906 | CompressionLossComparison_numerator | CompressionLossComparison | tools/lean/Semantics/Semantics/CompressionLossComparison.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 916 | 907 | CompressionLossComparison_phi | CompressionLossComparison | tools/lean/Semantics/Semantics/CompressionLossComparison.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 917 | 908 | CompressionLossComparison_loss | CompressionLossComparison | tools/lean/Semantics/Semantics/CompressionLossComparison.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 918 | 909 | CompressionLossComparison_StandardTrainingLoss | CompressionLossComparison | tools/lean/Semantics/Semantics/CompressionLossComparison.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 919 | 910 | CompressionLossComparison_StandardTrainingLoss | CompressionLossComparison | tools/lean/Semantics/Semantics/CompressionLossComparison.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 920 | 911 | CompressionLossComparison_standardToUnified | CompressionLossComparison | tools/lean/Semantics/Semantics/CompressionLossComparison.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 921 | 912 | CompressionLossComparison_SelfCompressionLoss | CompressionLossComparison | tools/lean/Semantics/Semantics/CompressionLossComparison.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 922 | 913 | CompressionLossComparison_SelfCompressionLoss | CompressionLossComparison | tools/lean/Semantics/Semantics/CompressionLossComparison.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 923 | 914 | CompressionLossComparison_selfCompressionToUnified | CompressionLossComparison | tools/lean/Semantics/Semantics/CompressionLossComparison.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 924 | 915 | CompressionLossComparison_FieldBasedLoss | CompressionLossComparison | tools/lean/Semantics/Semantics/CompressionLossComparison.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 925 | 916 | CompressionLossComparison_FieldBasedLoss | CompressionLossComparison | tools/lean/Semantics/Semantics/CompressionLossComparison.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 926 | 917 | CompressionLossComparison_standard_is_degenerate_field | CompressionLossComparison | tools/lean/Semantics/Semantics/CompressionLossComparison.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 927 | 918 | CompressionLossComparison_self_compression_has_curvature | CompressionLossComparison | tools/lean/Semantics/Semantics/CompressionLossComparison.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 928 | 919 | CompressionLossComparison_field_based_strictly_generalizes_standard | CompressionLossComparison | tools/lean/Semantics/Semantics/CompressionLossComparison.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 929 | 920 | SolitonTensor_SolitonWave | SolitonTensor | tools/lean/Semantics/Semantics/SolitonTensor.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 930 | 921 | SolitonTensor_emit | SolitonTensor | tools/lean/Semantics/Semantics/SolitonTensor.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 931 | 922 | SolitonTensor_propagate | SolitonTensor | tools/lean/Semantics/Semantics/SolitonTensor.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 932 | 923 | AVMRProofs_3 | AVMRProofs | tools/lean/Semantics/Semantics/AVMRProofs.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 933 | 924 | AVMRTheorems_proves | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 934 | 925 | AVMRTheorems_tipCoordinateMassResonance | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 935 | 926 | AVMRTheorems_fortyFiveLineFactorRevelation | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 936 | 927 | AVMRTheorems_pronicFactorization | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 937 | 928 | AVMRTheorems_fortyFiveLineIsGC | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 938 | 929 | AVMRTheorems_missingLinkODE | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 939 | 930 | AVMRTheorems_gradientFlowForm | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 940 | 931 | AgenticTheorems_assignmentRespectsCapabilities | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 941 | 932 | AgenticTheorems_dependenciesRespected | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 942 | 933 | AgenticTheorems_orchestrationTermination | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 943 | 934 | AgenticTheorems_synergyImprovesPerformance | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 944 | 935 | AgenticTheorems_agentFieldBounded | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 945 | 936 | AgenticTheorems_loadPenaltyDecreasesField | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 946 | 937 | CostEffectiveVerification_OntologicalSystem | CostEffectiveVerification | tools/lean/Semantics/Semantics/CostEffectiveVerification.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 947 | 938 | CostEffectiveVerification_BehavioralOperator | CostEffectiveVerification | tools/lean/Semantics/Semantics/CostEffectiveVerification.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 948 | 939 | CostEffectiveVerification_BehavioralPoint | CostEffectiveVerification | tools/lean/Semantics/Semantics/CostEffectiveVerification.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 949 | 940 | CostEffectiveVerification_domainWeightedDistance | CostEffectiveVerification | tools/lean/Semantics/Semantics/CostEffectiveVerification.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 950 | 941 | CostEffectiveVerification_BehavioralManifold | CostEffectiveVerification | tools/lean/Semantics/Semantics/CostEffectiveVerification.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 951 | 942 | CostEffectiveVerification_shareSameOperator | CostEffectiveVerification | tools/lean/Semantics/Semantics/CostEffectiveVerification.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 952 | 943 | CostEffectiveVerification_ontologicallyDifferent | CostEffectiveVerification | tools/lean/Semantics/Semantics/CostEffectiveVerification.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 953 | 944 | CostEffectiveVerification_groupByOperator | CostEffectiveVerification | tools/lean/Semantics/Semantics/CostEffectiveVerification.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 954 | 945 | CostEffectiveVerification_NullHypothesis | CostEffectiveVerification | tools/lean/Semantics/Semantics/CostEffectiveVerification.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 955 | 946 | CostEffectiveVerification_than | CostEffectiveVerification | tools/lean/Semantics/Semantics/CostEffectiveVerification.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 956 | 947 | CostEffectiveVerification_AlternativeHypothesis | CostEffectiveVerification | tools/lean/Semantics/Semantics/CostEffectiveVerification.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 957 | 948 | CostEffectiveVerification_than | CostEffectiveVerification | tools/lean/Semantics/Semantics/CostEffectiveVerification.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 958 | 949 | CostEffectiveVerification_testHypothesis | CostEffectiveVerification | tools/lean/Semantics/Semantics/CostEffectiveVerification.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 959 | 950 | CostEffectiveVerification_than | CostEffectiveVerification | tools/lean/Semantics/Semantics/CostEffectiveVerification.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 960 | 951 | GPUVerificationMetaprobe_MetaprobeCommentPayload | GPUVerificationMetaprobe | tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 961 | 952 | GPUVerificationMetaprobe_GPUVerificationRequest | GPUVerificationMetaprobe | tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 962 | 953 | GPUVerificationMetaprobe_GPUVerificationResult | GPUVerificationMetaprobe | tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 963 | 954 | GPUVerificationMetaprobe_actualValue | GPUVerificationMetaprobe | tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 964 | 955 | GPUVerificationMetaprobe_gpuRequestToCommentPayload | GPUVerificationMetaprobe | tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 965 | 956 | GPUVerificationMetaprobe_gpuResultToCommentPayload | GPUVerificationMetaprobe | tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 966 | 957 | GPUVerificationMetaprobe_GPUVerificationBatch | GPUVerificationMetaprobe | tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 967 | 958 | GPUVerificationMetaprobe_executeGPUVerificationBatch | GPUVerificationMetaprobe | tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 968 | 959 | GPUVerificationMetaprobe_GPUVerificationSurface | GPUVerificationMetaprobe | tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 969 | 960 | GPUVerificationMetaprobe_initGPUVerificationSurface | GPUVerificationMetaprobe | tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 970 | 961 | GPUVerificationMetaprobe_addVerificationBatch | GPUVerificationMetaprobe | tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 971 | 962 | GPUVerificationMetaprobe_processPendingBatches | GPUVerificationMetaprobe | tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 972 | 963 | GPUVerificationMetaprobe_GPUVerificationStats | GPUVerificationMetaprobe | tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 973 | 964 | GPUVerificationMetaprobe_getVerificationStats | GPUVerificationMetaprobe | tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 974 | 965 | GPUVerificationMetaprobe_createFixedPointVerificationBatch | GPUVerificationMetaprobe | tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 975 | 966 | GPUVerificationMetaprobe_executeFixedPointVerification | GPUVerificationMetaprobe | tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 976 | 967 | Lean4ImprovementProofs_ImprovementMetrics | Lean4ImprovementProofs | tools/lean/Semantics/Semantics/Lean4ImprovementProofs.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 977 | 968 | Lean4ImprovementProofs_computePriority | Lean4ImprovementProofs | tools/lean/Semantics/Semantics/Lean4ImprovementProofs.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 978 | 969 | Lean4ImprovementProofs_Lean4SystemState | Lean4ImprovementProofs | tools/lean/Semantics/Semantics/Lean4ImprovementProofs.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 979 | 970 | Lean4ImprovementProofs_ImprovementEffect | Lean4ImprovementProofs | tools/lean/Semantics/Semantics/Lean4ImprovementProofs.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 980 | 971 | Lean4ImprovementProofs_aiTacticsImprovement | Lean4ImprovementProofs | tools/lean/Semantics/Semantics/Lean4ImprovementProofs.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 981 | 972 | Lean4ImprovementProofs_aiTacticsEffect | Lean4ImprovementProofs | tools/lean/Semantics/Semantics/Lean4ImprovementProofs.lean | Lean | ✅ | LAYER_E_VERIFICATION | state_bind | ||||
| 982 | 973 | CrossDimensionalFilter_semanticPrimeCount | CrossDimensionalFilter | tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 983 | 974 | CrossDimensionalFilter_allSemanticPrimes | CrossDimensionalFilter | tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 984 | 975 | CrossDimensionalFilter_MatryoshkaShell | CrossDimensionalFilter | tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 985 | 976 | CrossDimensionalFilter_shellUnderstands | CrossDimensionalFilter | tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 986 | 977 | CrossDimensionalFilter_DimensionalEntity | CrossDimensionalFilter | tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 987 | 978 | CrossDimensionalFilter_primeOverlap | CrossDimensionalFilter | tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 988 | 979 | CrossDimensionalFilter_overlapToScalar | CrossDimensionalFilter | tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 989 | 980 | CrossDimensionalFilter_reductionFilter | CrossDimensionalFilter | tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 990 | 981 | CrossDimensionalFilter_expansionFilter | CrossDimensionalFilter | tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 991 | 982 | CrossDimensionalFilter_CrossShellMessage | CrossDimensionalFilter | tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 992 | 983 | CrossDimensionalFilter_sendCrossShell | CrossDimensionalFilter | tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 993 | 984 | CrossDimensionalFilter_receiveCrossShell | CrossDimensionalFilter | tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 994 | 985 | CrossDimensionalFilter_spawnSubShells | CrossDimensionalFilter | tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 995 | 986 | CrossDimensionalFilter_expansionDimensionCorrect | CrossDimensionalFilter | tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 996 | 987 | CrossDimensionalFilter_preservedPrimesUnderstood | CrossDimensionalFilter | tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 997 | 988 | CrossDimensionalFilter_spawnProducesN2 | CrossDimensionalFilter | tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 998 | 989 | CrossDimensionalFilter_allPrimesContained | CrossDimensionalFilter | tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 999 | 990 | CrossDimensionalFilter_filterAllContained | CrossDimensionalFilter | tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1000 | 991 | CrossDimensionalFilter_selfCommunicationPreservesAllPrimes | CrossDimensionalFilter | tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1001 | 992 | EnergyGradientSignal_EnergyGradient | EnergyGradientSignal | tools/lean/Semantics/Semantics/EnergyGradientSignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1002 | 993 | EnergyGradientSignal_EnergyFunction | EnergyGradientSignal | tools/lean/Semantics/Semantics/EnergyGradientSignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1003 | 994 | EnergyGradientSignal_EnergyChange | EnergyGradientSignal | tools/lean/Semantics/Semantics/EnergyGradientSignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1004 | 995 | EnergyGradientSignal_EnergyWaveform | EnergyGradientSignal | tools/lean/Semantics/Semantics/EnergyGradientSignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1005 | 996 | EnergyGradientSignal_EnergyIncreaseSignal | EnergyGradientSignal | tools/lean/Semantics/Semantics/EnergyGradientSignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1006 | 997 | EnergyGradientSignal_EnergyDecreaseSignal | EnergyGradientSignal | tools/lean/Semantics/Semantics/EnergyGradientSignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1007 | 998 | EnergyGradientSignal_EnergySignal | EnergyGradientSignal | tools/lean/Semantics/Semantics/EnergyGradientSignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1008 | 999 | EnergyGradientSignal_ShapeEnergyCoupling | EnergyGradientSignal | tools/lean/Semantics/Semantics/EnergyGradientSignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1009 | 1000 | EnergyGradientSignal_EnergyGradientSignal | EnergyGradientSignal | tools/lean/Semantics/Semantics/EnergyGradientSignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1010 | 1001 | EnergyGradientSignal_energyGradientInvariant | EnergyGradientSignal | tools/lean/Semantics/Semantics/EnergyGradientSignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1011 | 1002 | EnergyGradientSignal_calculateEnergyChange | EnergyGradientSignal | tools/lean/Semantics/Semantics/EnergyGradientSignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1012 | 1003 | EnergyGradientSignal_computeGradientMagnitude | EnergyGradientSignal | tools/lean/Semantics/Semantics/EnergyGradientSignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1013 | 1004 | EnergyGradientSignal_computeGradientDirection | EnergyGradientSignal | tools/lean/Semantics/Semantics/EnergyGradientSignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1014 | 1005 | EnergyGradientSignal_createEnergyWaveform | EnergyGradientSignal | tools/lean/Semantics/Semantics/EnergyGradientSignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1015 | 1006 | EnergyGradientSignal_calculateShapeEnergyCoupling | EnergyGradientSignal | tools/lean/Semantics/Semantics/EnergyGradientSignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1016 | 1007 | EnergyGradientSignal_energyGradientSignalCost | EnergyGradientSignal | tools/lean/Semantics/Semantics/EnergyGradientSignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1017 | 1008 | EnergyGradientSignal_energyGradientSignalBind | EnergyGradientSignal | tools/lean/Semantics/Semantics/EnergyGradientSignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1018 | 1009 | EnergyGradientSignal_gradientMagnitudeNonNegative | EnergyGradientSignal | tools/lean/Semantics/Semantics/EnergyGradientSignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1019 | 1010 | EnergyGradientSignal_couplingSymmetryCheck | EnergyGradientSignal | tools/lean/Semantics/Semantics/EnergyGradientSignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1020 | 1011 | EnergyGradientSignal_couplingSymmetry | EnergyGradientSignal | tools/lean/Semantics/Semantics/EnergyGradientSignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1021 | 1012 | EnergyGradientSignal_energyChangeAdditive | EnergyGradientSignal | tools/lean/Semantics/Semantics/EnergyGradientSignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1022 | 1013 | MISignal_epsilon | MISignal | tools/lean/Semantics/Semantics/MISignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1023 | 1014 | MISignal_bitsPerByteMax | MISignal | tools/lean/Semantics/Semantics/MISignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1024 | 1015 | MISignal_MIRecord | MISignal | tools/lean/Semantics/Semantics/MISignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1025 | 1016 | MISignal_mutualInformationSignal | MISignal | tools/lean/Semantics/Semantics/MISignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1026 | 1017 | MISignal_knnMIPrediction | MISignal | tools/lean/Semantics/Semantics/MISignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1027 | 1018 | MISignal_surpriseMetric | MISignal | tools/lean/Semantics/Semantics/MISignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1028 | 1019 | MISignal_structureYield | MISignal | tools/lean/Semantics/Semantics/MISignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1029 | 1020 | MISignal_weightedFeatureDistanceSq | MISignal | tools/lean/Semantics/Semantics/MISignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1030 | 1021 | MISignal_miInvariant | MISignal | tools/lean/Semantics/Semantics/MISignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1031 | 1022 | MISignal_miCost | MISignal | tools/lean/Semantics/Semantics/MISignal.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1032 | 1023 | HotPathColdPath_NodeAccessPattern | HotPathColdPath | tools/lean/Semantics/Semantics/HotPathColdPath.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1033 | 1024 | HotPathColdPath_UnifiedTopologyState | HotPathColdPath | tools/lean/Semantics/Semantics/HotPathColdPath.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1034 | 1025 | HotPathColdPath_branchPrediction | HotPathColdPath | tools/lean/Semantics/Semantics/HotPathColdPath.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1035 | 1026 | HotPathColdPath_sluqRouting | HotPathColdPath | tools/lean/Semantics/Semantics/HotPathColdPath.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1036 | 1027 | HotPathColdPath_classifyPath | HotPathColdPath | tools/lean/Semantics/Semantics/HotPathColdPath.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1037 | 1028 | HotPathColdPath_calculateHotPathProbability | HotPathColdPath | tools/lean/Semantics/Semantics/HotPathColdPath.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1038 | 1029 | HotPathColdPath_calculateColdPathProbability | HotPathColdPath | tools/lean/Semantics/Semantics/HotPathColdPath.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1039 | 1030 | HotPathColdPath_calculateUnifiedAdjustment | HotPathColdPath | tools/lean/Semantics/Semantics/HotPathColdPath.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1040 | 1031 | HotPathColdPath_updateUnifiedTopology | HotPathColdPath | tools/lean/Semantics/Semantics/HotPathColdPath.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1041 | 1032 | HotPathColdPath_TopologyAdjustmentAction | HotPathColdPath | tools/lean/Semantics/Semantics/HotPathColdPath.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1042 | 1033 | HotPathColdPath_TopologyAdjustmentBind | HotPathColdPath | tools/lean/Semantics/Semantics/HotPathColdPath.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1043 | 1034 | HotPathColdPath_isTopologyAdjustmentLawful | HotPathColdPath | tools/lean/Semantics/Semantics/HotPathColdPath.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1044 | 1035 | HotPathColdPath_updateNodePattern | HotPathColdPath | tools/lean/Semantics/Semantics/HotPathColdPath.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1045 | 1036 | HotPathColdPath_topologyAdjustmentBind | HotPathColdPath | tools/lean/Semantics/Semantics/HotPathColdPath.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1046 | 1037 | HotPathColdPath_lawfulAdjustmentMaintainsBalance | HotPathColdPath | tools/lean/Semantics/Semantics/HotPathColdPath.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1047 | 1038 | HotPathColdPath_hotPathMonotonicWithFrequency | HotPathColdPath | tools/lean/Semantics/Semantics/HotPathColdPath.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1048 | 1039 | ManifoldNetworking_ManifoldPacket | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1049 | 1040 | ManifoldNetworking_ManifoldQueue | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1050 | 1041 | ManifoldNetworking_enqueuePacket | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1051 | 1042 | ManifoldNetworking_dequeuePacket | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1052 | 1043 | ManifoldNetworking_ManifoldLittleLaw | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1053 | 1044 | ManifoldNetworking_verifyLittleLaw | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1054 | 1045 | ManifoldNetworking_ManifoldTokenBucket | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1055 | 1046 | ManifoldNetworking_consumeTokens | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1056 | 1047 | ManifoldNetworking_ManifoldAIMD | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1057 | 1048 | ManifoldNetworking_aimdUpdate | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1058 | 1049 | ManifoldNetworking_ManifoldCUBIC | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1059 | 1050 | ManifoldNetworking_cubicComputeK | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1060 | 1051 | ManifoldNetworking_cubicUpdate | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1061 | 1052 | ManifoldNetworking_ManifoldRouting | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1062 | 1053 | ManifoldNetworking_selectOptimalPath | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1063 | 1054 | ManifoldNetworking_ManifoldInput | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1064 | 1055 | ManifoldNetworking_ManifoldOutput | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1065 | 1056 | ManifoldNetworking_manifoldInputInvariant | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1066 | 1057 | ManifoldNetworking_manifoldOutputInvariant | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1067 | 1058 | ManifoldNetworking_manifoldOperationCost | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1068 | 1059 | ManifoldNetworking_performManifoldOperation | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1069 | 1060 | ManifoldNetworking_manifoldBind | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1070 | 1061 | ManifoldNetworking_isNormalNetworkLimit_fails_nonZeroCurvature | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1071 | 1062 | ManifoldNetworking_isNormalNetworkLimit_fails_nonZeroTorsion | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1072 | 1063 | ManifoldNetworking_isNormalNetworkLimit_fails_notSinglePath | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1073 | 1064 | ManifoldNetworking_isNormalNetworkLimit_fails_notSequential | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1074 | 1065 | ManifoldNetworking_manifoldPacket_preservesSize | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1075 | 1066 | ManifoldNetworking_manifoldQueue_preservesCount_enqueue | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1076 | 1067 | ManifoldNetworking_manifoldQueue_preservesCount_dequeue | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1077 | 1068 | ManifoldNetworking_littleLawVerification_preservesValidity | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1078 | 1069 | ManifoldNetworking_NormalNetworkLimitConditions | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1079 | 1070 | ManifoldNetworking_isNormalNetworkLimit | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1080 | 1071 | ManifoldNetworking_normalNetworkLimit | ManifoldNetworking | tools/lean/Semantics/Semantics/ManifoldNetworking.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1081 | 1072 | MorphicNeuralNetwork_ScalarInput | MorphicNeuralNetwork | tools/lean/Semantics/Semantics/MorphicNeuralNetwork.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1082 | 1073 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1083 | 1074 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1084 | 1075 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1085 | 1076 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1086 | 1077 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1087 | 1078 | AMMR_ammrStateFromTorsionalTile_usesTileInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1088 | 1079 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1089 | 1080 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1090 | 1081 | ASICTopology_asicInputInvariant | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1091 | 1082 | ASICTopology_asicOutputInvariant | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1092 | 1083 | AVMR_vectorField | AVMR | tools/lean/Semantics/Semantics/AVMR.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1093 | 1084 | AVMRProofs_3 | AVMRProofs | tools/lean/Semantics/Semantics/AVMRProofs.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1094 | 1085 | AVMRTheorems_proves | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1095 | 1086 | AVMRTheorems_tipCoordinateMassResonance | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1096 | 1087 | AVMRTheorems_fortyFiveLineFactorRevelation | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1097 | 1088 | AVMRTheorems_pronicFactorization | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1098 | 1089 | AVMRTheorems_fortyFiveLineIsGC | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1099 | 1090 | AVMRTheorems_missingLinkODE | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1100 | 1091 | AVMRTheorems_gradientFlowForm | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1101 | 1092 | AgenticOrchestrationField_AgentFieldParams | AgenticOrchestrationField | tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1102 | 1093 | AgenticOrchestrationField_CoordinationParams | AgenticOrchestrationField | tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1103 | 1094 | AgenticOrchestrationField_agentField | AgenticOrchestrationField | tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1104 | 1095 | AgenticOrchestrationField_coordinationField | AgenticOrchestrationField | tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1105 | 1096 | AgenticOrchestrationField_teamOrchestrationField | AgenticOrchestrationField | tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1106 | 1097 | AgenticTheorems_assignmentRespectsCapabilities | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1107 | 1098 | AgenticTheorems_dependenciesRespected | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1108 | 1099 | AgenticTheorems_orchestrationTermination | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1109 | 1100 | AgenticTheorems_synergyImprovesPerformance | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1110 | 1101 | AgenticTheorems_agentFieldBounded | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1111 | 1102 | AgenticTheorems_loadPenaltyDecreasesField | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1112 | 1103 | AngrySphinxPolicy_enforceAngrySphinxGate | AngrySphinxPolicy | tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1113 | 1104 | Atoms_DiscreteSemanticState | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1114 | 1105 | Atoms_updateSemanticStateFromGeometry | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1115 | 1106 | Atoms_updateSemanticStateFromChristoffel | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1116 | 1107 | BaselineTest_invariantPreservationPerByte | BaselineTest | tools/lean/Semantics/Semantics/BaselineTest.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1117 | 1108 | Bind_physicalBind | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1118 | 1109 | BindEngine_SMInvariants | BindEngine | tools/lean/Semantics/Semantics/BindEngine.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1119 | 1110 | BracketShellCount_gapConservation | BracketShellCount | tools/lean/Semantics/Semantics/BracketShellCount.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1120 | 1111 | BracketedCalculus_checkGapConservation | BracketedCalculus | tools/lean/Semantics/Semantics/BracketedCalculus.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1121 | 1112 | BraidField_where | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1122 | 1113 | BraidField_IntNode | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1123 | 1114 | BraidField_IntNode | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1124 | 1115 | BraidField_BettiCycle | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1125 | 1116 | BraidField_BettiCycleSet | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1126 | 1117 | BraidField_BettiCycleSet | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1127 | 1118 | BraidField_is | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1128 | 1119 | BraidField_height | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1129 | 1120 | BraidField_apex | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1130 | 1121 | BraidField_base | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1131 | 1122 | BraidField_inner | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1132 | 1123 | BraidField_merge | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1133 | 1124 | BraidField_size | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1134 | 1125 | BraidField_peaks | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1135 | 1126 | BraidField_latestPeak | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1136 | 1127 | BraidField_append | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1137 | 1128 | BraidField_isStable | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1138 | 1129 | BraidField_PISTField | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1139 | 1130 | BraidField_burdenCost | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1140 | 1131 | BraidField_geometryCost | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1141 | 1132 | BraidField_adaptationCost | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1142 | 1133 | BraidField_protectionCost | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1143 | 1134 | BraidField_computePIST | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1144 | 1135 | BraidField_SpherionState | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1145 | 1136 | BraidField_SpherionState | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1146 | 1137 | BraidField_voidUpdate | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1147 | 1138 | BraidField_betaStep | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1148 | 1139 | BraidField_rgFlow | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1149 | 1140 | BraidField_SpherionState | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1150 | 1141 | BraidField_SpherionState | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1151 | 1142 | BraidField_mkSpike | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1152 | 1143 | BraidField_exampleFlow | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1153 | 1144 | BraidField_twoSpikeMerge | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1154 | 1145 | CacheSieve_sieveInvariant | CacheSieve | tools/lean/Semantics/Semantics/CacheSieve.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1155 | 1146 | CanonAdapters_CanonicalVectorSpec | CanonAdapters | tools/lean/Semantics/Semantics/CanonAdapters.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1156 | 1147 | CanonAdapters_CanonicalVectorSpec | CanonAdapters | tools/lean/Semantics/Semantics/CanonAdapters.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1157 | 1148 | CanonAdapters_emptyCanonicalVectorWidth | CanonAdapters | tools/lean/Semantics/Semantics/CanonAdapters.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1158 | 1149 | CanonSerialization_FieldSpec | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1159 | 1150 | CanonSerialization_CanonicalField | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1160 | 1151 | CanonSerialization_SourceField | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1161 | 1152 | CanonSerialization_fieldKindTag | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1162 | 1153 | CanonSerialization_serializeCanonicalField | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1163 | 1154 | CanonSerialization_fieldKindCoreSafe | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1164 | 1155 | CanonSerialization_uniqueFieldNames | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1165 | 1156 | CanonicalInterval_canonicalIntervalInvariant | CanonicalInterval | tools/lean/Semantics/Semantics/CanonicalInterval.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1166 | 1157 | CasimirMetaprobe_boltzmannConstant | CasimirMetaprobe | tools/lean/Semantics/Semantics/CasimirMetaprobe.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1167 | 1158 | CasimirMetaprobe_parallelPlateForcePerArea | CasimirMetaprobe | tools/lean/Semantics/Semantics/CasimirMetaprobe.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1168 | 1159 | CasimirMetaprobe_thermalCasimirForce | CasimirMetaprobe | tools/lean/Semantics/Semantics/CasimirMetaprobe.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1169 | 1160 | ClassicalEuclideanGeometry_ThalesTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1170 | 1161 | ClassicalEuclideanGeometry_pythagoreanTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1171 | 1162 | ClassicalEuclideanGeometry_powerOfPointTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1172 | 1163 | ClassicalEuclideanGeometry_chordTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1173 | 1164 | ClassicalEuclideanGeometry_secantTangentTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1174 | 1165 | ClassicalEuclideanGeometry_euclidSecondTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1175 | 1166 | ClassicalEuclideanGeometry_unitSegmentSqrtProperty | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1176 | 1167 | CognitiveLoad_loadInvariant | CognitiveLoad | tools/lean/Semantics/Semantics/CognitiveLoad.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1177 | 1168 | CompressionMaximization_compressionRatioPhysicalConstraint | CompressionMaximization | tools/lean/Semantics/Semantics/CompressionMaximization.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1178 | 1169 | CompressionMaximization_theoreticalLimitViolatesPhysicalConstraint | CompressionMaximization | tools/lean/Semantics/Semantics/CompressionMaximization.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1179 | 1170 | CompressionMechanics_MechanicalCompressionWitness | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1180 | 1171 | CompressionMechanics_summaryAligned | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1181 | 1172 | CompressionMechanics_contactOrderCovered | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1182 | 1173 | CompressionMechanics_actuationBudgeted | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1183 | 1174 | CompressionMechanics_workBudgeted | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1184 | 1175 | CompressionMechanics_mechanicallyAdmissible | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1185 | 1176 | CompressionMechanics_witnessOfCompression | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1186 | 1177 | CompressionMechanics_mechanicallyAdmissibleOfBounds | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1187 | 1178 | CompressionMechanics_positiveWorkOfIrreversibleCompression | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1188 | 1179 | CompressionMechanics_compressionContractsMechanicalOrder | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1189 | 1180 | CompressionMechanics_sampleMechanicalCompressionWitness | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1190 | 1181 | CompressionMechanicsBridge_SubstrateWitness | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1191 | 1182 | CompressionMechanicsBridge_dissipationCovered | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1192 | 1183 | CompressionMechanicsBridge_supportCovered | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1193 | 1184 | CompressionMechanicsBridge_defectToleranceCovered | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1194 | 1185 | CompressionMechanicsBridge_substrateAdmissible | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1195 | 1186 | CompressionMechanicsBridge_witnessOfDefect | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1196 | 1187 | CompressionMechanicsBridge_substrateAdmissibleOfBounds | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1197 | 1188 | CompressionMechanicsBridge_resolvedSitesLeSupportBudget | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1198 | 1189 | CompressionMechanicsBridge_landauerCoveredBySubstrate | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1199 | 1190 | CompressionMechanicsBridge_compressionTracePhysicallyAdmissible | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1200 | 1191 | CompressionMechanicsBridge_sampleSubstrateWitness | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1201 | 1192 | ConservationTest_ConservationQuestion | ConservationTest | tools/lean/Semantics/Semantics/ConservationTest.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1202 | 1193 | ConservationTest_ConservationResult | ConservationTest | tools/lean/Semantics/Semantics/ConservationTest.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1203 | 1194 | ConservationTest_conservationQuizBank | ConservationTest | tools/lean/Semantics/Semantics/ConservationTest.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1204 | 1195 | ConservationTest_runConservationQuiz | ConservationTest | tools/lean/Semantics/Semantics/ConservationTest.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1205 | 1196 | ConservationTest_testTokenConservation | ConservationTest | tools/lean/Semantics/Semantics/ConservationTest.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1206 | 1197 | Constitution_no_motion_without_lawful_path | Constitution | tools/lean/Semantics/Semantics/Constitution.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1207 | 1198 | CooperativeLUT_drakeConstant | CooperativeLUT | tools/lean/Semantics/Semantics/CooperativeLUT.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1208 | 1199 | CooperativeLUT_driftBarrierConstant | CooperativeLUT | tools/lean/Semantics/Semantics/CooperativeLUT.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1209 | 1200 | CooperativeLUT_biophysicalLUT | CooperativeLUT | tools/lean/Semantics/Semantics/CooperativeLUT.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1210 | 1201 | CooperativeLUT_connectomeInvariant | CooperativeLUT | tools/lean/Semantics/Semantics/CooperativeLUT.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1211 | 1202 | CooperativeLUT_btbSizeInvariant | CooperativeLUT | tools/lean/Semantics/Semantics/CooperativeLUT.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1212 | 1203 | CostEffectiveVerification_OntologicalSystem | CostEffectiveVerification | tools/lean/Semantics/Semantics/CostEffectiveVerification.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1213 | 1204 | CostEffectiveVerification_ontologicallyDifferent | CostEffectiveVerification | tools/lean/Semantics/Semantics/CostEffectiveVerification.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1214 | 1205 | CriticalityDynamics_abelianInvariantHoldsByLoadSum | CriticalityDynamics | tools/lean/Semantics/Semantics/CriticalityDynamics.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1215 | 1206 | CrossDimensionalFilter_preservedPrimesUnderstood | CrossDimensionalFilter | tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1216 | 1207 | Curvature_curvatureInvariant | Curvature | tools/lean/Semantics/Semantics/Curvature.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1217 | 1208 | DSPTranslation_priorInvariant | DSPTranslation | tools/lean/Semantics/Semantics/DSPTranslation.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1218 | 1209 | DSPTranslation_stateInvariant | DSPTranslation | tools/lean/Semantics/Semantics/DSPTranslation.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1219 | 1210 | DefectMechanics_DefectWitness | DefectMechanics | tools/lean/Semantics/Semantics/DefectMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1220 | 1211 | DefectMechanics_vacancyCovered | DefectMechanics | tools/lean/Semantics/Semantics/DefectMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1221 | 1212 | DefectMechanics_distortionBounded | DefectMechanics | tools/lean/Semantics/Semantics/DefectMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1222 | 1213 | DefectMechanics_defectBudgeted | DefectMechanics | tools/lean/Semantics/Semantics/DefectMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1223 | 1214 | DefectMechanics_defectAdmissible | DefectMechanics | tools/lean/Semantics/Semantics/DefectMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1224 | 1215 | DefectMechanics_witnessOfMechanical | DefectMechanics | tools/lean/Semantics/Semantics/DefectMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1225 | 1216 | DefectMechanics_defectAdmissibleOfBounds | DefectMechanics | tools/lean/Semantics/Semantics/DefectMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1226 | 1217 | DefectMechanics_vacancyCountLeOccupancyBound | DefectMechanics | tools/lean/Semantics/Semantics/DefectMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1227 | 1218 | DefectMechanics_compressionContractsVacancyCount | DefectMechanics | tools/lean/Semantics/Semantics/DefectMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1228 | 1219 | DefectMechanics_distortionLeActuationBudget | DefectMechanics | tools/lean/Semantics/Semantics/DefectMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1229 | 1220 | DefectMechanics_sampleDefectWitness | DefectMechanics | tools/lean/Semantics/Semantics/DefectMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1230 | 1221 | DeltaGCLCompression_modelTypeFromPTOS | DeltaGCLCompression | tools/lean/Semantics/Semantics/DeltaGCLCompression.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1231 | 1222 | DeltaGCLCompression_angrySphinxEnergyAsymmetry | DeltaGCLCompression | tools/lean/Semantics/Semantics/DeltaGCLCompression.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1232 | 1223 | DeltaGCLCompression_angrySphinx_energy_asymmetry_exponential | DeltaGCLCompression | tools/lean/Semantics/Semantics/DeltaGCLCompression.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1233 | 1224 | DeltaGCLCompression_wardenValidateProof | DeltaGCLCompression | tools/lean/Semantics/Semantics/DeltaGCLCompression.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1234 | 1225 | DeltaGCLCompression_triumvirate_warden_proof_validation | DeltaGCLCompression | tools/lean/Semantics/Semantics/DeltaGCLCompression.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1235 | 1226 | DeltaGCLCompression_nucleic_concatenation_preserves_invariants | DeltaGCLCompression | tools/lean/Semantics/Semantics/DeltaGCLCompression.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1236 | 1227 | DeltaGCLCompression_nucleic_interleaving_preserves_invariants | DeltaGCLCompression | tools/lean/Semantics/Semantics/DeltaGCLCompression.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1237 | 1228 | DeltaGCLCompression_verifyActionProof | DeltaGCLCompression | tools/lean/Semantics/Semantics/DeltaGCLCompression.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1238 | 1229 | DeltaGCLCompression_attestation_requires_proof | DeltaGCLCompression | tools/lean/Semantics/Semantics/DeltaGCLCompression.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1239 | 1230 | DeltaGCLCompression_attestation_rejects_disallowed_types | DeltaGCLCompression | tools/lean/Semantics/Semantics/DeltaGCLCompression.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1240 | 1231 | DiffusionSNRBias_energyConservation | DiffusionSNRBias | tools/lean/Semantics/Semantics/DiffusionSNRBias.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1241 | 1232 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1242 | 1233 | ASCIIGen_ASCIIEncodingData | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1243 | 1234 | ASCIIGen_analyzeASCIIEncoding | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1244 | 1235 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1245 | 1236 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1246 | 1237 | ASICTopology_ASICTopologyEdge | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1247 | 1238 | ASICTopology_ASICTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1248 | 1239 | ASICTopology_rtl8126Topology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1249 | 1240 | ASICTopology_findNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1250 | 1241 | ASICTopology_findEdgesFrom | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1251 | 1242 | ASICTopology_geodesicDistance | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1252 | 1243 | ASICTopology_ASICOptimalPath | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1253 | 1244 | ASICTopology_findOptimalPath | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1254 | 1245 | ASICTopology_Workload | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1255 | 1246 | ASICTopology_AdmissibilityResult | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1256 | 1247 | ASICTopology_checkOperationAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1257 | 1248 | ASICTopology_checkWorkloadAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1258 | 1249 | ASICTopology_AngrySphinxSafetyGate | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1259 | 1250 | ASICTopology_applyAngrySphinxGate | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1260 | 1251 | ASICTopology_ProjectionResult | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1261 | 1252 | ASICTopology_projectWorkloadToTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1262 | 1253 | ASICTopology_ASICToManifoldTranslation | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1263 | 1254 | ASICTopology_ManifoldToASICTranslation | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1264 | 1255 | ASICTopology_createASICToManifoldMapping | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1265 | 1256 | ASICTopology_createManifoldToASICMapping | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1266 | 1257 | ASICTopology_translateManifoldToASIC | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1267 | 1258 | ASICTopology_translateASICToManifold | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1268 | 1259 | ASICTopology_asicOptimizedAddressTranslation | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1269 | 1260 | ASICTopology_asicOptimizedChecksum | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1270 | 1261 | ASICTopology_ASICOptimizedInput | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1271 | 1262 | ASICTopology_ASICOptimizedOutput | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1272 | 1263 | ASICTopology_performASICOptimizedOperation | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1273 | 1264 | ASICTopology_asicInputInvariant | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1274 | 1265 | ASICTopology_asicOutputInvariant | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1275 | 1266 | ASICTopology_asicOperationCost | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1276 | 1267 | ASICTopology_asicBind | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1277 | 1268 | ASICTopology_findNode_some_if_exists | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1278 | 1269 | ASICTopology_findNode_none_if_not_exists | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1279 | 1270 | ASICTopology_findEdgesFrom_sourceId_correct | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1280 | 1271 | ASICTopology_arbitraryCompute_never_admissible | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1281 | 1272 | ASICTopology_checkOperationAdmissibility_deterministic | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1282 | 1273 | ASICTopology_ManifoldToASICChain | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1283 | 1274 | ASICTopology_executeManifoldToASICChain | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1284 | 1275 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1285 | 1276 | AVMRInformation_shellEntropy | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1286 | 1277 | AVMRInformation_shellEntropyBound | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1287 | 1278 | AVMRInformation_degeneracy | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1288 | 1279 | AVMRInformation_totalCodons | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1289 | 1280 | AVMRInformation_avgDegeneracyCloseToE | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1290 | 1281 | AVMRProofs_3 | AVMRProofs | tools/lean/Semantics/Semantics/AVMRProofs.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1291 | 1282 | AVMRTheorems_proves | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1292 | 1283 | AVMRTheorems_tipCoordinateMassResonance | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1293 | 1284 | AVMRTheorems_fortyFiveLineFactorRevelation | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1294 | 1285 | AVMRTheorems_pronicFactorization | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1295 | 1286 | AVMRTheorems_fortyFiveLineIsGC | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1296 | 1287 | AVMRTheorems_missingLinkODE | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1297 | 1288 | AVMRTheorems_gradientFlowForm | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1298 | 1289 | AgenticHardware_AgentFrustrationWave | AgenticHardware | tools/lean/Semantics/Semantics/AgenticHardware.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1299 | 1290 | AgenticTheorems_assignmentRespectsCapabilities | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1300 | 1291 | AgenticTheorems_dependenciesRespected | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1301 | 1292 | AgenticTheorems_orchestrationTermination | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1302 | 1293 | AgenticTheorems_synergyImprovesPerformance | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1303 | 1294 | AgenticTheorems_agentFieldBounded | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1304 | 1295 | AgenticTheorems_loadPenaltyDecreasesField | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1305 | 1296 | AtomicResolution_compressionContractsAtomicResolution | AtomicResolution | tools/lean/Semantics/Semantics/AtomicResolution.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1306 | 1297 | Atoms_DiscreteSemanticState | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1307 | 1298 | Atoms_SemanticFrustrationWave | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1308 | 1299 | Atoms_updateSemanticStateFromGeometry | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1309 | 1300 | Atoms_updateSemanticStateFromChristoffel | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1310 | 1301 | Basic_BasicFrustrationWave | Basic | tools/lean/Semantics/Semantics/Basic.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1311 | 1302 | Bind_informationalBind | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1312 | 1303 | Bind_informationalBind_preservesLeft | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1313 | 1304 | Bind_informationalBind_preservesRight | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1314 | 1305 | Bind_InformationTheoreticConstraints | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1315 | 1306 | Bind_InformationTheoreticConstraints | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1316 | 1307 | BitcoinMetaprobe_filterBatch | BitcoinMetaprobe | tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1317 | 1308 | BitcoinRGFlow_bitcoinInformationalBind | BitcoinRGFlow | tools/lean/Semantics/Semantics/BitcoinRGFlow.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1318 | 1309 | BracketedCalculus_encode | BracketedCalculus | tools/lean/Semantics/Semantics/BracketedCalculus.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1319 | 1310 | CBFHardwareMetaprobe_clockFrequency | CBFHardwareMetaprobe | tools/lean/Semantics/Semantics/CBFHardwareMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1320 | 1311 | CanonSerialization_encodeU16BE | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1321 | 1312 | CanonSerialization_encodeU32BE | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1322 | 1313 | CanonSerialization_encodeU64BE | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1323 | 1314 | CanonSerialization_encodeNatBE | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1324 | 1315 | CanonSerialization_encodeText | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1325 | 1316 | CanonSerialization_FilteredField | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1326 | 1317 | CanonSerialization_FilterResult | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1327 | 1318 | CanonSerialization_FilterRule | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1328 | 1319 | CanonSerialization_applyFilters | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1329 | 1320 | CanonSerialization_filter_safe_no_adversarial_kept | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1330 | 1321 | CasimirMetaprobe_plasmaFrequency | CasimirMetaprobe | tools/lean/Semantics/Semantics/CasimirMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1331 | 1322 | ClassicalEuclideanGeometry_ThalesTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1332 | 1323 | ClassicalEuclideanGeometry_pythagoreanTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1333 | 1324 | ClassicalEuclideanGeometry_powerOfPointTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1334 | 1325 | ClassicalEuclideanGeometry_chordTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1335 | 1326 | ClassicalEuclideanGeometry_secantTangentTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1336 | 1327 | ClassicalEuclideanGeometry_euclidSecondTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1337 | 1328 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1338 | 1329 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1339 | 1330 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1340 | 1331 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1341 | 1332 | AMMR_verdictAllowsRoute | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1342 | 1333 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1343 | 1334 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1344 | 1335 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1345 | 1336 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1346 | 1337 | AMMR_ammrStateFromTorsionalTile_usesTileInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1347 | 1338 | ASCIIArtCompetition_evaluateStyleClassification | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1348 | 1339 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1349 | 1340 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1350 | 1341 | ASICTopology_ASICOptimalPath | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1351 | 1342 | ASICTopology_findOptimalPath | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1352 | 1343 | ASICTopology_checkOperationAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1353 | 1344 | ASICTopology_checkWorkloadAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1354 | 1345 | ASICTopology_asicOptimizedChecksum | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1355 | 1346 | ASICTopology_performASICOptimizedOperation | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1356 | 1347 | ASICTopology_asicInputInvariant | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1357 | 1348 | ASICTopology_asicOutputInvariant | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1358 | 1349 | ASICTopology_asicOperationCost | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1359 | 1350 | ASICTopology_checkOperationAdmissibility_deterministic | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1360 | 1351 | AVMR_vectorField | AVMR | tools/lean/Semantics/Semantics/AVMR.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1361 | 1352 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1362 | 1353 | AVMRProofs_3 | AVMRProofs | tools/lean/Semantics/Semantics/AVMRProofs.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1363 | 1354 | AVMRTheorems_proves | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1364 | 1355 | AVMRTheorems_tipCoordinateMassResonance | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1365 | 1356 | AVMRTheorems_fortyFiveLineFactorRevelation | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1366 | 1357 | AVMRTheorems_pronicFactorization | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1367 | 1358 | AVMRTheorems_fortyFiveLineIsGC | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1368 | 1359 | AVMRTheorems_missingLinkODE | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1369 | 1360 | AVMRTheorems_gradientFlowForm | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1370 | 1361 | Adaptation_FlowAudit | Adaptation | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1371 | 1362 | Adaptation_flowAuditLoop | Adaptation | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1372 | 1363 | Adaptation_flowAudit | Adaptation | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1373 | 1364 | Adaptation_flowAuditLoopFinalEqEventually | Adaptation | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1374 | 1365 | AdaptiveFabric_testConfig | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1375 | 1366 | AdversarialTopologyTest_AdversarialTopologyQuestion | AdversarialTopologyTest | tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1376 | 1367 | AdversarialTopologyTest_AdversarialTopologyResult | AdversarialTopologyTest | tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1377 | 1368 | AdversarialTopologyTest_adversarialTopologyQuizBank | AdversarialTopologyTest | tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1378 | 1369 | AdversarialTopologyTest_runAdversarialTopologyQuiz | AdversarialTopologyTest | tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1379 | 1370 | AdversarialTopologyTest_testAdversarialTopology | AdversarialTopologyTest | tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1380 | 1371 | AgenticHardware_AgentFrustrationWave | AgenticHardware | tools/lean/Semantics/Semantics/AgenticHardware.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1381 | 1372 | AgenticOrchestrationField_AgentFieldParams | AgenticOrchestrationField | tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1382 | 1373 | AgenticOrchestrationField_CoordinationParams | AgenticOrchestrationField | tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1383 | 1374 | AgenticOrchestrationField_agentField | AgenticOrchestrationField | tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1384 | 1375 | AgenticOrchestrationField_coordinationField | AgenticOrchestrationField | tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1385 | 1376 | AgenticOrchestrationField_teamOrchestrationField | AgenticOrchestrationField | tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1386 | 1377 | AgenticTheorems_assignmentRespectsCapabilities | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1387 | 1378 | AgenticTheorems_dependenciesRespected | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1388 | 1379 | AgenticTheorems_orchestrationTermination | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1389 | 1380 | AgenticTheorems_synergyImprovesPerformance | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1390 | 1381 | AgenticTheorems_agentFieldBounded | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1391 | 1382 | AgenticTheorems_loadPenaltyDecreasesField | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1392 | 1383 | AngrySphinxPolicy_checkAngrySphinxCompliance | AngrySphinxPolicy | tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1393 | 1384 | AngrySphinxPolicy_enforceAngrySphinxGate | AngrySphinxPolicy | tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1394 | 1385 | ArrayTest_a1 | ArrayTest | tools/lean/Semantics/Semantics/ArrayTest.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1395 | 1386 | ArrayTest_a2 | ArrayTest | tools/lean/Semantics/Semantics/ArrayTest.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1396 | 1387 | Atoms_DiscreteSemanticState | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1397 | 1388 | Atoms_SemanticFrustrationWave | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1398 | 1389 | Atoms_updateSemanticStateFromGeometry | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1399 | 1390 | Atoms_updateSemanticStateFromChristoffel | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1400 | 1391 | BaselineTest_BaselineResult | BaselineTest | tools/lean/Semantics/Semantics/BaselineTest.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1401 | 1392 | BaselineTest_BaselineComparison | BaselineTest | tools/lean/Semantics/Semantics/BaselineTest.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1402 | 1393 | BaselineTest_is | BaselineTest | tools/lean/Semantics/Semantics/BaselineTest.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1403 | 1394 | BaselineTest_invariantPreservationPerByte | BaselineTest | tools/lean/Semantics/Semantics/BaselineTest.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1404 | 1395 | BaselineTest_compareCandidateToBaseline | BaselineTest | tools/lean/Semantics/Semantics/BaselineTest.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1405 | 1396 | BaselineTest_baselineQuizBank | BaselineTest | tools/lean/Semantics/Semantics/BaselineTest.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1406 | 1397 | BaselineTest_runBaselineTest | BaselineTest | tools/lean/Semantics/Semantics/BaselineTest.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1407 | 1398 | BaselineTest_baselineGate | BaselineTest | tools/lean/Semantics/Semantics/BaselineTest.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1408 | 1399 | Basic_BasicFrustrationWave | Basic | tools/lean/Semantics/Semantics/Basic.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1409 | 1400 | Bind_physicalBind | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1410 | 1401 | BindEngine_SMInvariants | BindEngine | tools/lean/Semantics/Semantics/BindEngine.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1411 | 1402 | BitcoinMetaprobe_SHARoutingPacket | BitcoinMetaprobe | tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1412 | 1403 | BitcoinMetaprobe_SHARoutingResult | BitcoinMetaprobe | tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1413 | 1404 | BitcoinMetaprobe_filterBatch | BitcoinMetaprobe | tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1414 | 1405 | BitcoinMetaprobe_createSHARoutingPacket | BitcoinMetaprobe | tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1415 | 1406 | BitcoinMetaprobe_routeWithSHA | BitcoinMetaprobe | tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1416 | 1407 | BitcoinMetaprobe_angrySphinxPacketGate_fails_noOperation | BitcoinMetaprobe | tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1417 | 1408 | BitcoinMetaprobe_shaRoutingPacket_hasUniqueKey | BitcoinMetaprobe | tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1418 | 1409 | BitcoinMetaprobe_shaRoutingPacket_preservesBlockHeight | BitcoinMetaprobe | tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1419 | 1410 | BitcoinMetaprobe_shaRoutingPacket_preservesTxId | BitcoinMetaprobe | tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1420 | 1411 | BitcoinMetaprobeEval_computeRoutingPacketHash | BitcoinMetaprobeEval | tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1421 | 1412 | BitcoinMetaprobeEval_testCase1_validOpenwormPayload | BitcoinMetaprobeEval | tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1422 | 1413 | BitcoinMetaprobeEval_testCase2_missingPolicyRoot | BitcoinMetaprobeEval | tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1423 | 1414 | BitcoinMetaprobeEval_testCase3_missingReceipt | BitcoinMetaprobeEval | tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1424 | 1415 | BitcoinMetaprobeEval_testCase4_policyMismatch | BitcoinMetaprobeEval | tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1425 | 1416 | BitcoinMetaprobeEval_testCase5_forbiddenHumanNeuralPayload | BitcoinMetaprobeEval | tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1426 | 1417 | BitcoinMetaprobeEval_testCase6_validBatchFold | BitcoinMetaprobeEval | tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1427 | 1418 | BitcoinMetaprobeEval_testCase7_unsafeBatchEmergence | BitcoinMetaprobeEval | tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1428 | 1419 | BitcoinMetaprobeEval_testCase8_shaOnlyPayload | BitcoinMetaprobeEval | tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1429 | 1420 | BitcoinMetaprobeEval_testCase9_arbitraryComputeOnSHAASIC | BitcoinMetaprobeEval | tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1430 | 1421 | BitcoinRGFlow_BitcoinPriceState | BitcoinRGFlow | tools/lean/Semantics/Semantics/BitcoinRGFlow.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1431 | 1422 | BitcoinRGFlow_BitcoinRGFlowBind | BitcoinRGFlow | tools/lean/Semantics/Semantics/BitcoinRGFlow.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1432 | 1423 | BitcoinRGFlow_bitcoinInformationalBind | BitcoinRGFlow | tools/lean/Semantics/Semantics/BitcoinRGFlow.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1433 | 1424 | BitcoinRGFlow_rollingWindowQ16 | BitcoinRGFlow | tools/lean/Semantics/Semantics/BitcoinRGFlow.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1434 | 1425 | BitcoinRGFlow_Q1616 | BitcoinRGFlow | tools/lean/Semantics/Semantics/BitcoinRGFlow.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1435 | 1426 | BitcoinRGFlow_safeStdQ16 | BitcoinRGFlow | tools/lean/Semantics/Semantics/BitcoinRGFlow.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1436 | 1427 | BitcoinRGFlow_logReturnsQ16 | BitcoinRGFlow | tools/lean/Semantics/Semantics/BitcoinRGFlow.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1437 | 1428 | BitcoinRGFlow_computeSigmaQQ16 | BitcoinRGFlow | tools/lean/Semantics/Semantics/BitcoinRGFlow.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1438 | 1429 | BitcoinRGFlow_isLawfulRGFlowQ16 | BitcoinRGFlow | tools/lean/Semantics/Semantics/BitcoinRGFlow.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1439 | 1430 | BitcoinRGFlow_computeMuQQ16 | BitcoinRGFlow | tools/lean/Semantics/Semantics/BitcoinRGFlow.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1440 | 1431 | BitcoinRGFlow_bitcoinRGFlowAnalysisQ16 | BitcoinRGFlow | tools/lean/Semantics/Semantics/BitcoinRGFlow.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1441 | 1432 | BitcoinRGFlow_batchBitcoinRGFlowQ16 | BitcoinRGFlow | tools/lean/Semantics/Semantics/BitcoinRGFlow.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1442 | 1433 | BracketShellCount_gapConservation | BracketShellCount | tools/lean/Semantics/Semantics/BracketShellCount.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1443 | 1434 | BracketedCalculus_checkGapConservation | BracketedCalculus | tools/lean/Semantics/Semantics/BracketedCalculus.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1444 | 1435 | BraidField_where | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1445 | 1436 | BraidField_IntNode | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1446 | 1437 | BraidField_IntNode | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1447 | 1438 | BraidField_BettiCycle | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1448 | 1439 | BraidField_BettiCycleSet | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1449 | 1440 | BraidField_BettiCycleSet | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1450 | 1441 | BraidField_is | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1451 | 1442 | BraidField_height | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1452 | 1443 | BraidField_apex | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1453 | 1444 | BraidField_base | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1454 | 1445 | BraidField_inner | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1455 | 1446 | BraidField_merge | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1456 | 1447 | BraidField_size | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1457 | 1448 | BraidField_peaks | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1458 | 1449 | BraidField_append | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1459 | 1450 | BraidField_isStable | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1460 | 1451 | BraidField_PISTField | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1461 | 1452 | BraidField_burdenCost | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1462 | 1453 | BraidField_geometryCost | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1463 | 1454 | BraidField_adaptationCost | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1464 | 1455 | BraidField_protectionCost | BraidField | tools/lean/Semantics/Semantics/BraidField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1465 | 1456 | CBFHardwareMetaprobe_clockFrequency | CBFHardwareMetaprobe | tools/lean/Semantics/Semantics/CBFHardwareMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1466 | 1457 | CacheSieve_sieveInvariant | CacheSieve | tools/lean/Semantics/Semantics/CacheSieve.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1467 | 1458 | CalibratedKernel_stableDrivenScoreCalibrated | CalibratedKernel | tools/lean/Semantics/Semantics/CalibratedKernel.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1468 | 1459 | CalibratedKernel_routeStableCalibrated | CalibratedKernel | tools/lean/Semantics/Semantics/CalibratedKernel.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1469 | 1460 | Canon_isStable | Canon | tools/lean/Semantics/Semantics/Canon.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1470 | 1461 | Canon_defaultIsStable | Canon | tools/lean/Semantics/Semantics/Canon.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1471 | 1462 | CanonSerialization_FilterResult | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1472 | 1463 | CanonSerialization_FilterRule | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1473 | 1464 | CanonSerialization_applyFilters | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1474 | 1465 | CanonSerialization_filter_safe_no_adversarial_kept | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1475 | 1466 | CanonicalInterval_canonicalIntervalInvariant | CanonicalInterval | tools/lean/Semantics/Semantics/CanonicalInterval.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1476 | 1467 | CasimirMetaprobe_boltzmannConstant | CasimirMetaprobe | tools/lean/Semantics/Semantics/CasimirMetaprobe.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1477 | 1468 | CasimirMetaprobe_parallelPlateForcePerArea | CasimirMetaprobe | tools/lean/Semantics/Semantics/CasimirMetaprobe.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1478 | 1469 | CasimirMetaprobe_plasmaFrequency | CasimirMetaprobe | tools/lean/Semantics/Semantics/CasimirMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1479 | 1470 | CasimirMetaprobe_thermalCasimirForce | CasimirMetaprobe | tools/lean/Semantics/Semantics/CasimirMetaprobe.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1480 | 1471 | ClassicalEuclideanGeometry_ThalesTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1481 | 1472 | ClassicalEuclideanGeometry_pythagoreanTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1482 | 1473 | ClassicalEuclideanGeometry_powerOfPointTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1483 | 1474 | ClassicalEuclideanGeometry_chordTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1484 | 1475 | ClassicalEuclideanGeometry_secantTangentTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1485 | 1476 | ClassicalEuclideanGeometry_euclidSecondTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1486 | 1477 | ClassicalEuclideanGeometry_unitSegmentSqrtProperty | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1487 | 1478 | CognitiveLoad_loadInvariant | CognitiveLoad | tools/lean/Semantics/Semantics/CognitiveLoad.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1488 | 1479 | CompressionLossComparison_isFixedPoint | CompressionLossComparison | tools/lean/Semantics/Semantics/CompressionLossComparison.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1489 | 1480 | CompressionLossComparison_fixedPointStationary | CompressionLossComparison | tools/lean/Semantics/Semantics/CompressionLossComparison.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1490 | 1481 | CompressionMaximization_compressionRatioPhysicalConstraint | CompressionMaximization | tools/lean/Semantics/Semantics/CompressionMaximization.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1491 | 1482 | CompressionMaximization_theoreticalLimitViolatesPhysicalConstraint | CompressionMaximization | tools/lean/Semantics/Semantics/CompressionMaximization.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1492 | 1483 | CompressionMechanics_MechanicalCompressionWitness | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1493 | 1484 | CompressionMechanics_summaryAligned | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1494 | 1485 | CompressionMechanics_contactOrderCovered | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1495 | 1486 | CompressionMechanics_actuationBudgeted | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1496 | 1487 | CompressionMechanics_workBudgeted | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1497 | 1488 | CompressionMechanics_mechanicallyAdmissible | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1498 | 1489 | CompressionMechanics_witnessOfCompression | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1499 | 1490 | CompressionMechanics_mechanicallyAdmissibleOfBounds | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1500 | 1491 | CompressionMechanics_positiveWorkOfIrreversibleCompression | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1501 | 1492 | CompressionMechanics_compressionContractsMechanicalOrder | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1502 | 1493 | CompressionMechanics_sampleMechanicalCompressionWitness | CompressionMechanics | tools/lean/Semantics/Semantics/CompressionMechanics.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1503 | 1494 | CompressionMechanicsBridge_SubstrateWitness | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1504 | 1495 | CompressionMechanicsBridge_dissipationCovered | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1505 | 1496 | CompressionMechanicsBridge_supportCovered | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1506 | 1497 | CompressionMechanicsBridge_defectToleranceCovered | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1507 | 1498 | CompressionMechanicsBridge_substrateAdmissible | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1508 | 1499 | CompressionMechanicsBridge_witnessOfDefect | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1509 | 1500 | CompressionMechanicsBridge_substrateAdmissibleOfBounds | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1510 | 1501 | CompressionMechanicsBridge_resolvedSitesLeSupportBudget | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1511 | 1502 | CompressionMechanicsBridge_landauerCoveredBySubstrate | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1512 | 1503 | CompressionMechanicsBridge_compressionTracePhysicallyAdmissible | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1513 | 1504 | CompressionMechanicsBridge_sampleSubstrateWitness | CompressionMechanicsBridge | tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1514 | 1505 | Connectors_SpectralNorm | Connectors | tools/lean/Semantics/Semantics/Connectors.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1515 | 1506 | Connectors_isStable | Connectors | tools/lean/Semantics/Semantics/Connectors.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1516 | 1507 | ConservationTest_ConservationQuestion | ConservationTest | tools/lean/Semantics/Semantics/ConservationTest.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1517 | 1508 | ConservationTest_ConservationResult | ConservationTest | tools/lean/Semantics/Semantics/ConservationTest.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1518 | 1509 | ConservationTest_conservationQuizBank | ConservationTest | tools/lean/Semantics/Semantics/ConservationTest.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1519 | 1510 | ConservationTest_runConservationQuiz | ConservationTest | tools/lean/Semantics/Semantics/ConservationTest.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1520 | 1511 | ConservationTest_testTokenConservation | ConservationTest | tools/lean/Semantics/Semantics/ConservationTest.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1521 | 1512 | Constitution_no_motion_without_lawful_path | Constitution | tools/lean/Semantics/Semantics/Constitution.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1522 | 1513 | CooperativeLUT_wavefrontOp1D | CooperativeLUT | tools/lean/Semantics/Semantics/CooperativeLUT.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1523 | 1514 | CooperativeLUT_drakeConstant | CooperativeLUT | tools/lean/Semantics/Semantics/CooperativeLUT.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1524 | 1515 | CooperativeLUT_wavedArray | CooperativeLUT | tools/lean/Semantics/Semantics/CooperativeLUT.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1525 | 1516 | CooperativeLUT_wavefrontPreservesSize | CooperativeLUT | tools/lean/Semantics/Semantics/CooperativeLUT.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1526 | 1517 | CooperativeLUT_wavefrontPreservesManifold | CooperativeLUT | tools/lean/Semantics/Semantics/CooperativeLUT.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1527 | 1518 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1528 | 1519 | ASCIIGen_ASCIIEncodingData | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1529 | 1520 | ASCIIGen_analyzeASCIIEncoding | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1530 | 1521 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1531 | 1522 | AVMRInformation_shellEntropy | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1532 | 1523 | AVMRInformation_shellEntropyBound | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1533 | 1524 | AVMRInformation_degeneracy | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1534 | 1525 | AVMRInformation_totalCodons | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1535 | 1526 | AVMRInformation_avgDegeneracyCloseToE | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1536 | 1527 | AVMRProofs_3 | AVMRProofs | tools/lean/Semantics/Semantics/AVMRProofs.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1537 | 1528 | AVMRTheorems_proves | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1538 | 1529 | AVMRTheorems_tipCoordinateMassResonance | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1539 | 1530 | AVMRTheorems_fortyFiveLineFactorRevelation | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1540 | 1531 | AVMRTheorems_pronicFactorization | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1541 | 1532 | AVMRTheorems_fortyFiveLineIsGC | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1542 | 1533 | AVMRTheorems_missingLinkODE | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1543 | 1534 | AVMRTheorems_gradientFlowForm | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1544 | 1535 | AgenticHardware_AgentFrustrationWave | AgenticHardware | tools/lean/Semantics/Semantics/AgenticHardware.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1545 | 1536 | AgenticTheorems_assignmentRespectsCapabilities | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1546 | 1537 | AgenticTheorems_dependenciesRespected | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1547 | 1538 | AgenticTheorems_orchestrationTermination | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1548 | 1539 | AgenticTheorems_synergyImprovesPerformance | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1549 | 1540 | AgenticTheorems_agentFieldBounded | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1550 | 1541 | AgenticTheorems_loadPenaltyDecreasesField | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1551 | 1542 | AtomicResolution_compressionContractsAtomicResolution | AtomicResolution | tools/lean/Semantics/Semantics/AtomicResolution.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1552 | 1543 | Atoms_DiscreteSemanticState | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1553 | 1544 | Atoms_SemanticFrustrationWave | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1554 | 1545 | Atoms_updateSemanticStateFromGeometry | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1555 | 1546 | Atoms_updateSemanticStateFromChristoffel | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1556 | 1547 | Basic_BasicFrustrationWave | Basic | tools/lean/Semantics/Semantics/Basic.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1557 | 1548 | Bind_informationalBind | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1558 | 1549 | Bind_informationalBind_preservesLeft | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1559 | 1550 | Bind_informationalBind_preservesRight | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1560 | 1551 | Bind_InformationTheoreticConstraints | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1561 | 1552 | Bind_InformationTheoreticConstraints | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1562 | 1553 | BitcoinMetaprobe_filterBatch | BitcoinMetaprobe | tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1563 | 1554 | BitcoinRGFlow_bitcoinInformationalBind | BitcoinRGFlow | tools/lean/Semantics/Semantics/BitcoinRGFlow.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1564 | 1555 | BracketedCalculus_encode | BracketedCalculus | tools/lean/Semantics/Semantics/BracketedCalculus.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1565 | 1556 | CBFHardwareMetaprobe_clockFrequency | CBFHardwareMetaprobe | tools/lean/Semantics/Semantics/CBFHardwareMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1566 | 1557 | CanonSerialization_encodeU16BE | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1567 | 1558 | CanonSerialization_encodeU32BE | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1568 | 1559 | CanonSerialization_encodeU64BE | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1569 | 1560 | CanonSerialization_encodeNatBE | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1570 | 1561 | CanonSerialization_encodeText | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1571 | 1562 | CanonSerialization_FilteredField | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1572 | 1563 | CanonSerialization_FilterResult | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1573 | 1564 | CanonSerialization_FilterRule | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1574 | 1565 | CanonSerialization_applyFilters | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1575 | 1566 | CanonSerialization_filter_safe_no_adversarial_kept | CanonSerialization | tools/lean/Semantics/Semantics/CanonSerialization.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1576 | 1567 | CasimirMetaprobe_plasmaFrequency | CasimirMetaprobe | tools/lean/Semantics/Semantics/CasimirMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1577 | 1568 | ClassicalEuclideanGeometry_ThalesTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1578 | 1569 | ClassicalEuclideanGeometry_pythagoreanTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1579 | 1570 | ClassicalEuclideanGeometry_powerOfPointTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1580 | 1571 | ClassicalEuclideanGeometry_chordTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1581 | 1572 | ClassicalEuclideanGeometry_secantTangentTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1582 | 1573 | ClassicalEuclideanGeometry_euclidSecondTheorem | ClassicalEuclideanGeometry | tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1583 | 1574 | CompressionControl_ControlState | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1584 | 1575 | CompressionControl_confidenceThreshold | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1585 | 1576 | CompressionControl_redThreshold | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1586 | 1577 | CompressionControl_blueThreshold | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1587 | 1578 | CompressionControl_updateConfidence | CompressionControl | tools/lean/Semantics/Semantics/CompressionControl.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1588 | 1579 | AdaptiveFabric_CMYKState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1589 | 1580 | AdaptiveFabric_FabricState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1590 | 1581 | AdaptiveFabric_FabricConfig | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1591 | 1582 | AdaptiveFabric_step | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1592 | 1583 | AdaptiveFabric_state_determined_by_sluq | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1593 | 1584 | AdaptiveFabric_testConfig | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1594 | 1585 | AdaptiveFabric_initialState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1595 | 1586 | Bind_controlBind | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1596 | 1587 | BoundaryDynamics_reconnectionPotentialOf | BoundaryDynamics | tools/lean/Semantics/Semantics/BoundaryDynamics.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1597 | 1588 | BoundaryDynamics_explicitAliasDetected | BoundaryDynamics | tools/lean/Semantics/Semantics/BoundaryDynamics.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1598 | 1589 | BoundaryDynamics_boundarySignatureOf | BoundaryDynamics | tools/lean/Semantics/Semantics/BoundaryDynamics.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1599 | 1590 | BoundaryDynamics_classifyReconnectionMode | BoundaryDynamics | tools/lean/Semantics/Semantics/BoundaryDynamics.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1600 | 1591 | BoundaryDynamics_classifyBoundaryStability | BoundaryDynamics | tools/lean/Semantics/Semantics/BoundaryDynamics.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1601 | 1592 | BoundaryDynamics_classifyBoundaryFluidity | BoundaryDynamics | tools/lean/Semantics/Semantics/BoundaryDynamics.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1602 | 1593 | BoundaryDynamics_effectivePermeability | BoundaryDynamics | tools/lean/Semantics/Semantics/BoundaryDynamics.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1603 | 1594 | BoundaryDynamics_classifyBoundaryRegime | BoundaryDynamics | tools/lean/Semantics/Semantics/BoundaryDynamics.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1604 | 1595 | BoundaryDynamics_classifyIntersectionFlow | BoundaryDynamics | tools/lean/Semantics/Semantics/BoundaryDynamics.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1605 | 1596 | BoundaryDynamics_resolveBoundaryTransition | BoundaryDynamics | tools/lean/Semantics/Semantics/BoundaryDynamics.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1606 | 1597 | BracketShellCount_ShellSystem | BracketShellCount | tools/lean/Semantics/Semantics/BracketShellCount.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1607 | 1598 | BracketShellCount_computeSystemBracket | BracketShellCount | tools/lean/Semantics/Semantics/BracketShellCount.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1608 | 1599 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1609 | 1600 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1610 | 1601 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1611 | 1602 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1612 | 1603 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1613 | 1604 | AMMR_ammrStateFromTorsionalTile_usesTileInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1614 | 1605 | ASCIIArtCompetition_evaluateStyleClassification | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1615 | 1606 | ASCIIGen_ASCIIEncodingData | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1616 | 1607 | ASCIIGen_analyzeASCIIEncoding | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1617 | 1608 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1618 | 1609 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1619 | 1610 | ASICTopology_ASICTopologyEdge | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1620 | 1611 | ASICTopology_ASICTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1621 | 1612 | ASICTopology_rtl8126Topology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1622 | 1613 | ASICTopology_findNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1623 | 1614 | ASICTopology_findEdgesFrom | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1624 | 1615 | ASICTopology_geodesicDistance | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1625 | 1616 | AVMR_vectorField | AVMR | tools/lean/Semantics/Semantics/AVMR.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1626 | 1617 | AVMRFrameworkMetaprobe_potentialDerivative | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1627 | 1618 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1628 | 1619 | AVMRInformation_shellEntropy | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1629 | 1620 | AVMRInformation_shellEntropyBound | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1630 | 1621 | AVMRInformation_degeneracy | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1631 | 1622 | AVMRInformation_totalCodons | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1632 | 1623 | AVMRInformation_avgDegeneracyCloseToE | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1633 | 1624 | AVMRProofs_3 | AVMRProofs | tools/lean/Semantics/Semantics/AVMRProofs.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1634 | 1625 | AVMRTheorems_proves | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1635 | 1626 | AVMRTheorems_tipCoordinateMassResonance | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1636 | 1627 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1637 | 1628 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1638 | 1629 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1639 | 1630 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1640 | 1631 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1641 | 1632 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1642 | 1633 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1643 | 1634 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1644 | 1635 | AMMR_ammrStateFromTorsionalTile_usesTileInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1645 | 1636 | ASCIIArtCompetition_evaluateStyleClassification | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1646 | 1637 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1647 | 1638 | ASICTopology_checkOperationAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1648 | 1639 | ASICTopology_checkWorkloadAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1649 | 1640 | ASICTopology_asicOptimizedChecksum | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1650 | 1641 | ASICTopology_performASICOptimizedOperation | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1651 | 1642 | ASICTopology_asicOperationCost | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1652 | 1643 | ASICTopology_checkOperationAdmissibility_deterministic | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1653 | 1644 | AVMR_vectorField | AVMR | tools/lean/Semantics/Semantics/AVMR.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1654 | 1645 | AVMRFrameworkMetaprobe_normalizedCoordinate | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1655 | 1646 | AVMRFrameworkMetaprobe_potentialDerivative | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1656 | 1647 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1657 | 1648 | Adaptation_FlowAudit | Adaptation | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1658 | 1649 | Adaptation_flowAuditLoop | Adaptation | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1659 | 1650 | Adaptation_flowAudit | Adaptation | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1660 | 1651 | AgenticHardware_AgentFrustrationWave | AgenticHardware | tools/lean/Semantics/Semantics/AgenticHardware.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1661 | 1652 | AgenticOrchestrationField_AgentFieldParams | AgenticOrchestrationField | tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1662 | 1653 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1663 | 1654 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1664 | 1655 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1665 | 1656 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1666 | 1657 | AMMR_ammrStateFromTorsionalTile_usesTileInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1667 | 1658 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1668 | 1659 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1669 | 1660 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1670 | 1661 | ASICTopology_ASICTopologyEdge | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1671 | 1662 | ASICTopology_ASICTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1672 | 1663 | ASICTopology_rtl8126Topology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1673 | 1664 | ASICTopology_findNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1674 | 1665 | ASICTopology_findEdgesFrom | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1675 | 1666 | ASICTopology_geodesicDistance | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1676 | 1667 | ASICTopology_asicInputInvariant | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1677 | 1668 | ASICTopology_asicOutputInvariant | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1678 | 1669 | AVMR_vectorField | AVMR | tools/lean/Semantics/Semantics/AVMR.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1679 | 1670 | AVMRFrameworkMetaprobe_normalizedCoordinate | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1680 | 1671 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1681 | 1672 | AVMRProofs_3 | AVMRProofs | tools/lean/Semantics/Semantics/AVMRProofs.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1682 | 1673 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1683 | 1674 | AgenticHardware_AgentFrustrationWave | AgenticHardware | tools/lean/Semantics/Semantics/AgenticHardware.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1684 | 1675 | Atoms_SemanticFrustrationWave | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1685 | 1676 | Basic_BasicFrustrationWave | Basic | tools/lean/Semantics/Semantics/Basic.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1686 | 1677 | BitcoinMetaprobe_filterBatch | BitcoinMetaprobe | tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1687 | 1678 | BraidBracket_PhaseVec | BraidBracket | tools/lean/Semantics/Semantics/BraidBracket.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1688 | 1679 | BraidBracket_fromPhaseVec | BraidBracket | tools/lean/Semantics/Semantics/BraidBracket.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1689 | 1680 | BraidBracket_phaseAccumulation | BraidBracket | tools/lean/Semantics/Semantics/BraidBracket.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1690 | 1681 | BraidStrand_phaseAngle | BraidStrand | tools/lean/Semantics/Semantics/BraidStrand.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1691 | 1682 | CBFHardwareMetaprobe_clockFrequency | CBFHardwareMetaprobe | tools/lean/Semantics/Semantics/CBFHardwareMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1692 | 1683 | AMMR_WitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1693 | 1684 | AMMR_defaultWitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1694 | 1685 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1695 | 1686 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1696 | 1687 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1697 | 1688 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1698 | 1689 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1699 | 1690 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1700 | 1691 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1701 | 1692 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1702 | 1693 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1703 | 1694 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1704 | 1695 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1705 | 1696 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1706 | 1697 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1707 | 1698 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1708 | 1699 | AMMR_ammrStateFromTorsionalTile_usesTileInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1709 | 1700 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1710 | 1701 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1711 | 1702 | ASICTopology_checkOperationAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1712 | 1703 | ASICTopology_performASICOptimizedOperation | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1713 | 1704 | ASICTopology_asicOperationCost | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1714 | 1705 | ASICTopology_checkOperationAdmissibility_deterministic | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1715 | 1706 | AVMRFrameworkMetaprobe_potentialDerivative | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1716 | 1707 | AVMRProofs_3 | AVMRProofs | tools/lean/Semantics/Semantics/AVMRProofs.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1717 | 1708 | AVMRTheorems_proves | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1718 | 1709 | AVMRTheorems_tipCoordinateMassResonance | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1719 | 1710 | AVMRTheorems_fortyFiveLineFactorRevelation | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1720 | 1711 | AdaptiveFabric_CMYKState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1721 | 1712 | AdaptiveFabric_FabricState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1722 | 1713 | AdaptiveFabric_FabricConfig | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1723 | 1714 | AdaptiveFabric_step | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1724 | 1715 | AdaptiveFabric_state_determined_by_sluq | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1725 | 1716 | AMMR_WitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1726 | 1717 | AMMR_defaultWitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1727 | 1718 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1728 | 1719 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1729 | 1720 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1730 | 1721 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1731 | 1722 | AMMR_verdictAllowsRoute | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1732 | 1723 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1733 | 1724 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1734 | 1725 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1735 | 1726 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1736 | 1727 | AMMR_ammrStateFromTorsionalTile_usesTileInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1737 | 1728 | ASCIIArtCompetition_evaluateStyleClassification | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1738 | 1729 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1739 | 1730 | ASCIIGen_asciiArtDatabase | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1740 | 1731 | ASCIIGen_ASCIIEncodingData | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1741 | 1732 | ASCIIGen_analyzeASCIIEncoding | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1742 | 1733 | ASCIIGen_ASCIIDataAccumulator | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1743 | 1734 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1744 | 1735 | ASICTopology_checkOperationAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1745 | 1736 | ASICTopology_performASICOptimizedOperation | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1746 | 1737 | ASICTopology_asicOperationCost | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1747 | 1738 | AVMR_vectorField | AVMR | tools/lean/Semantics/Semantics/AVMR.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1748 | 1739 | AVMRFrameworkMetaprobe_normalizedCoordinate | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1749 | 1740 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1750 | 1741 | AVMRInformation_shellEntropy | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1751 | 1742 | AVMRInformation_shellEntropyBound | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1752 | 1743 | AVMRInformation_degeneracy | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1753 | 1744 | AVMRInformation_totalCodons | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1754 | 1745 | AVMRInformation_avgDegeneracyCloseToE | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1755 | 1746 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1756 | 1747 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1757 | 1748 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1758 | 1749 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1759 | 1750 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1760 | 1751 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1761 | 1752 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1762 | 1753 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1763 | 1754 | AMMR_ammrStateFromTorsionalTile_usesTileInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1764 | 1755 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1765 | 1756 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1766 | 1757 | ASICTopology_ASICTopologyEdge | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1767 | 1758 | ASICTopology_ASICTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1768 | 1759 | ASICTopology_rtl8126Topology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1769 | 1760 | ASICTopology_findNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1770 | 1761 | ASICTopology_findEdgesFrom | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1771 | 1762 | ASICTopology_geodesicDistance | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1772 | 1763 | ASICTopology_ASICOptimalPath | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1773 | 1764 | AVMRFrameworkMetaprobe_potentialDerivative | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1774 | 1765 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1775 | 1766 | AVMRTheorems_gradientFlowForm | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1776 | 1767 | Adaptation_FlowAudit | Adaptation | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1777 | 1768 | Adaptation_flowAuditLoop | Adaptation | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1778 | 1769 | Adaptation_flowAudit | Adaptation | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1779 | 1770 | AdaptiveFabric_CMYKState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1780 | 1771 | AdaptiveFabric_FabricState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1781 | 1772 | AdaptiveFabric_FabricConfig | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1782 | 1773 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1783 | 1774 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1784 | 1775 | AVMRProofs_3 | AVMRProofs | tools/lean/Semantics/Semantics/AVMRProofs.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1785 | 1776 | AVMRTheorems_proves | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1786 | 1777 | AVMRTheorems_tipCoordinateMassResonance | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1787 | 1778 | AVMRTheorems_fortyFiveLineFactorRevelation | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1788 | 1779 | AVMRTheorems_pronicFactorization | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1789 | 1780 | AVMRTheorems_fortyFiveLineIsGC | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1790 | 1781 | AVMRTheorems_missingLinkODE | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1791 | 1782 | AVMRTheorems_gradientFlowForm | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1792 | 1783 | AgenticTheorems_assignmentRespectsCapabilities | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1793 | 1784 | AgenticTheorems_dependenciesRespected | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1794 | 1785 | AngrySphinxPolicy_enforceAngrySphinxGate | AngrySphinxPolicy | tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1795 | 1786 | Bind_physicalBind | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1796 | 1787 | BracketShellCount_ShellSystem | BracketShellCount | tools/lean/Semantics/Semantics/BracketShellCount.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1797 | 1788 | BracketShellCount_computeSystemBracket | BracketShellCount | tools/lean/Semantics/Semantics/BracketShellCount.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1798 | 1789 | BracketShellCount_nuclearShellSystem | BracketShellCount | tools/lean/Semantics/Semantics/BracketShellCount.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1799 | 1790 | BracketShellCount_systemAdmissibleIff | BracketShellCount | tools/lean/Semantics/Semantics/BracketShellCount.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1800 | 1791 | CasimirMetaprobe_parallelPlateForcePerArea | CasimirMetaprobe | tools/lean/Semantics/Semantics/CasimirMetaprobe.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1801 | 1792 | CasimirMetaprobe_thermalCasimirForce | CasimirMetaprobe | tools/lean/Semantics/Semantics/CasimirMetaprobe.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1802 | 1793 | ASICTopology_Workload | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 1803 | 1794 | ASICTopology_checkWorkloadAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 1804 | 1795 | ASICTopology_projectWorkloadToTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 1805 | 1796 | AVMRFrameworkMetaprobe_boltzmannK | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 1806 | 1797 | AVMRFrameworkMetaprobe_temperature | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 1807 | 1798 | AVMRFrameworkMetaprobe_massProduct | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 1808 | 1799 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1809 | 1800 | AdaptiveFabric_CMYKState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1810 | 1801 | AdaptiveFabric_FabricState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1811 | 1802 | AdaptiveFabric_FabricConfig | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1812 | 1803 | AdaptiveFabric_step | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1813 | 1804 | AdaptiveFabric_state_determined_by_sluq | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1814 | 1805 | AdaptiveFabric_testConfig | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1815 | 1806 | AgenticHardware_AgentFrustrationWave | AgenticHardware | tools/lean/Semantics/Semantics/AgenticHardware.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1816 | 1807 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1817 | 1808 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1818 | 1809 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1819 | 1810 | AMMR_verdictAllowsRoute | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1820 | 1811 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1821 | 1812 | ASCIIGen_asciiArtDatabase | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1822 | 1813 | ASCIIGen_ASCIIEncodingData | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1823 | 1814 | ASCIIGen_analyzeASCIIEncoding | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1824 | 1815 | ASCIIGen_ASCIIDataAccumulator | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1825 | 1816 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1826 | 1817 | ASICTopology_checkOperationAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1827 | 1818 | ASICTopology_performASICOptimizedOperation | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1828 | 1819 | ASICTopology_asicOperationCost | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1829 | 1820 | ASICTopology_checkOperationAdmissibility_deterministic | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1830 | 1821 | AVMR_vectorField | AVMR | tools/lean/Semantics/Semantics/AVMR.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1831 | 1822 | AVMRFrameworkMetaprobe_normalizedCoordinate | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1832 | 1823 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1833 | 1824 | AVMRInformation_shellEntropy | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1834 | 1825 | AVMRInformation_shellEntropyBound | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1835 | 1826 | AVMRInformation_degeneracy | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1836 | 1827 | AVMRInformation_totalCodons | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1837 | 1828 | AVMRInformation_avgDegeneracyCloseToE | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1838 | 1829 | AgenticHardware_AgentFrustrationWave | AgenticHardware | tools/lean/Semantics/Semantics/AgenticHardware.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1839 | 1830 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1840 | 1831 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1841 | 1832 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1842 | 1833 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1843 | 1834 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1844 | 1835 | AMMR_ammrStateFromTorsionalTile_usesTileInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1845 | 1836 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 1846 | 1837 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 1847 | 1838 | ASICTopology_ASICTopologyEdge | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 1848 | 1839 | ASICTopology_ASICTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 1849 | 1840 | ASICTopology_rtl8126Topology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 1850 | 1841 | ASICTopology_findNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 1851 | 1842 | AMMR_WitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1852 | 1843 | AMMR_defaultWitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1853 | 1844 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1854 | 1845 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1855 | 1846 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1856 | 1847 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1857 | 1848 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1858 | 1849 | ASICTopology_Workload | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 1859 | 1850 | ASICTopology_projectWorkloadToTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 1860 | 1851 | AVMRFrameworkMetaprobe_boltzmannK | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 1861 | 1852 | AVMRFrameworkMetaprobe_temperature | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 1862 | 1853 | AVMRFrameworkMetaprobe_massProduct | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 1863 | 1854 | AVMRFrameworkMetaprobe_massProductQ16 | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 1864 | 1855 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1865 | 1856 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1866 | 1857 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1867 | 1858 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1868 | 1859 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1869 | 1860 | ASCIIGen_ASCIIEncodingData | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1870 | 1861 | ASCIIGen_analyzeASCIIEncoding | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1871 | 1862 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1872 | 1863 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1873 | 1864 | ASICTopology_ASICTopologyEdge | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1874 | 1865 | ASICTopology_ASICTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1875 | 1866 | ASICTopology_rtl8126Topology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1876 | 1867 | ASICTopology_findNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1877 | 1868 | ASICTopology_findEdgesFrom | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1878 | 1869 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1879 | 1870 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1880 | 1871 | AgenticHardware_AgentFrustrationWave | AgenticHardware | tools/lean/Semantics/Semantics/AgenticHardware.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1881 | 1872 | AngrySphinxPolicy_enforceAngrySphinxGate | AngrySphinxPolicy | tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1882 | 1873 | Atoms_SemanticFrustrationWave | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1883 | 1874 | Basic_BasicFrustrationWave | Basic | tools/lean/Semantics/Semantics/Basic.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1884 | 1875 | Bind_physicalBind | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1885 | 1876 | BitcoinMetaprobe_filterBatch | BitcoinMetaprobe | tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1886 | 1877 | BracketShellCount_ShellSystem | BracketShellCount | tools/lean/Semantics/Semantics/BracketShellCount.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1887 | 1878 | BracketShellCount_computeSystemBracket | BracketShellCount | tools/lean/Semantics/Semantics/BracketShellCount.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1888 | 1879 | BracketShellCount_nuclearShellSystem | BracketShellCount | tools/lean/Semantics/Semantics/BracketShellCount.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1889 | 1880 | BracketShellCount_systemAdmissibleIff | BracketShellCount | tools/lean/Semantics/Semantics/BracketShellCount.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1890 | 1881 | BraidBracket_PhaseVec | BraidBracket | tools/lean/Semantics/Semantics/BraidBracket.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1891 | 1882 | BraidBracket_fromPhaseVec | BraidBracket | tools/lean/Semantics/Semantics/BraidBracket.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1892 | 1883 | BraidBracket_phaseAccumulation | BraidBracket | tools/lean/Semantics/Semantics/BraidBracket.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1893 | 1884 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1894 | 1885 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1895 | 1886 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1896 | 1887 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1897 | 1888 | AMMR_verdictAllowsRoute | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1898 | 1889 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1899 | 1890 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1900 | 1891 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1901 | 1892 | AMMR_ammrStateFromTorsionalTile_usesTileInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1902 | 1893 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1903 | 1894 | ASCIIGen_analyzeASCIIEncoding | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1904 | 1895 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 1905 | 1896 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 1906 | 1897 | ASICTopology_ASICTopologyEdge | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 1907 | 1898 | ASICTopology_ASICTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 1908 | 1899 | ASICTopology_rtl8126Topology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 1909 | 1900 | AMMR_WitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1910 | 1901 | AMMR_defaultWitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1911 | 1902 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1912 | 1903 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1913 | 1904 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1914 | 1905 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1915 | 1906 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 1916 | 1907 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1917 | 1908 | ASCIIGen_ASCIIEncodingData | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1918 | 1909 | ASCIIGen_analyzeASCIIEncoding | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1919 | 1910 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1920 | 1911 | ASICTopology_performASICOptimizedOperation | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1921 | 1912 | ASICTopology_asicOperationCost | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1922 | 1913 | AVMR_vectorField | AVMR | tools/lean/Semantics/Semantics/AVMR.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1923 | 1914 | AVMRFrameworkMetaprobe_normalizedCoordinate | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1924 | 1915 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1925 | 1916 | AVMRInformation_shellEntropy | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1926 | 1917 | AVMRInformation_shellEntropyBound | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1927 | 1918 | AVMRInformation_degeneracy | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1928 | 1919 | AVMRInformation_totalCodons | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1929 | 1920 | AdaptiveFabric_CMYKState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1930 | 1921 | AdaptiveFabric_FabricState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1931 | 1922 | AdaptiveFabric_FabricConfig | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1932 | 1923 | AdaptiveFabric_step | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1933 | 1924 | AdaptiveFabric_state_determined_by_sluq | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1934 | 1925 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1935 | 1926 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1936 | 1927 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1937 | 1928 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1938 | 1929 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1939 | 1930 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1940 | 1931 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1941 | 1932 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1942 | 1933 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1943 | 1934 | ASICTopology_Workload | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 1944 | 1935 | ASICTopology_checkWorkloadAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 1945 | 1936 | ASICTopology_projectWorkloadToTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 1946 | 1937 | AVMRFrameworkMetaprobe_boltzmannK | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 1947 | 1938 | AVMRProofs_3 | AVMRProofs | tools/lean/Semantics/Semantics/AVMRProofs.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1948 | 1939 | AVMRTheorems_proves | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1949 | 1940 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1950 | 1941 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1951 | 1942 | AdaptiveFabric_CMYKState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1952 | 1943 | AdaptiveFabric_FabricState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1953 | 1944 | AdaptiveFabric_FabricConfig | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1954 | 1945 | AdaptiveFabric_step | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1955 | 1946 | AgenticHardware_AgentFrustrationWave | AgenticHardware | tools/lean/Semantics/Semantics/AgenticHardware.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1956 | 1947 | AngrySphinxPolicy_enforceAngrySphinxGate | AngrySphinxPolicy | tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1957 | 1948 | Atoms_SemanticFrustrationWave | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1958 | 1949 | Basic_BasicFrustrationWave | Basic | tools/lean/Semantics/Semantics/Basic.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1959 | 1950 | Bind_physicalBind | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1960 | 1951 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1961 | 1952 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1962 | 1953 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 1963 | 1954 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1964 | 1955 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1965 | 1956 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1966 | 1957 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1967 | 1958 | ASICTopology_ASICTopologyEdge | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 1968 | 1959 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 1969 | 1960 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 1970 | 1961 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 1971 | 1962 | ASICTopology_ASICTopologyEdge | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 1972 | 1963 | ASICTopology_ASICTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 1973 | 1964 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1974 | 1965 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1975 | 1966 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1976 | 1967 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1977 | 1968 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 1978 | 1969 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1979 | 1970 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1980 | 1971 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 1981 | 1972 | ASCIIGen_ASCIIEncodingData | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1982 | 1973 | ASCIIGen_analyzeASCIIEncoding | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 1983 | 1974 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1984 | 1975 | ASICTopology_Workload | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 1985 | 1976 | ASICTopology_checkOperationAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1986 | 1977 | ASICTopology_checkWorkloadAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 1987 | 1978 | ASICTopology_projectWorkloadToTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 1988 | 1979 | ASICTopology_performASICOptimizedOperation | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1989 | 1980 | ASICTopology_asicOperationCost | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 1990 | 1981 | AVMRFrameworkMetaprobe_boltzmannK | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 1991 | 1982 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1992 | 1983 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1993 | 1984 | AdaptiveFabric_CMYKState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1994 | 1985 | AdaptiveFabric_FabricState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1995 | 1986 | AdaptiveFabric_FabricConfig | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 1996 | 1987 | AgenticHardware_AgentFrustrationWave | AgenticHardware | tools/lean/Semantics/Semantics/AgenticHardware.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1997 | 1988 | AngrySphinxPolicy_enforceAngrySphinxGate | AngrySphinxPolicy | tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 1998 | 1989 | Atoms_SemanticFrustrationWave | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 1999 | 1990 | Bind_physicalBind | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2000 | 1991 | AMMR_WitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2001 | 1992 | AMMR_defaultWitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2002 | 1993 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2003 | 1994 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2004 | 1995 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2005 | 1996 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2006 | 1997 | AMMR_verdictAllowsRoute | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2007 | 1998 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2008 | 1999 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2009 | 2000 | ASCIIGen_analyzeASCIIEncoding | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2010 | 2001 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2011 | 2002 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2012 | 2003 | ASICTopology_ASICTopologyEdge | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2013 | 2004 | ASICTopology_ASICTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2014 | 2005 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2015 | 2006 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2016 | 2007 | ASICTopology_checkOperationAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2017 | 2008 | ASICTopology_performASICOptimizedOperation | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2018 | 2009 | ASICTopology_asicOperationCost | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2019 | 2010 | AVMRProofs_3 | AVMRProofs | tools/lean/Semantics/Semantics/AVMRProofs.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2020 | 2011 | AVMRTheorems_proves | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2021 | 2012 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2022 | 2013 | ASCIIGen_ASCIIEncodingData | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2023 | 2014 | ASCIIGen_analyzeASCIIEncoding | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2024 | 2015 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2025 | 2016 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2026 | 2017 | ASICTopology_ASICTopologyEdge | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2027 | 2018 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2028 | 2019 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2029 | 2020 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2030 | 2021 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2031 | 2022 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2032 | 2023 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2033 | 2024 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2034 | 2025 | ASICTopology_Workload | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2035 | 2026 | ASICTopology_checkWorkloadAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2036 | 2027 | ASICTopology_projectWorkloadToTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2037 | 2028 | AMMR_WitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2038 | 2029 | AMMR_defaultWitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2039 | 2030 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2040 | 2031 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2041 | 2032 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2042 | 2033 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2043 | 2034 | AMMR_verdictAllowsRoute | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2044 | 2035 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2045 | 2036 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2046 | 2037 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2047 | 2038 | ASCIIGen_analyzeASCIIEncoding | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2048 | 2039 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2049 | 2040 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2050 | 2041 | ASICTopology_ASICTopologyEdge | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2051 | 2042 | ASICTopology_ASICTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2052 | 2043 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2053 | 2044 | ASCIIGen_ASCIIEncodingData | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2054 | 2045 | ASCIIGen_analyzeASCIIEncoding | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2055 | 2046 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2056 | 2047 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2057 | 2048 | ASICTopology_ASICTopologyEdge | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2058 | 2049 | ASICTopology_ASICTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2059 | 2050 | ASICTopology_rtl8126Topology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2060 | 2051 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2061 | 2052 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2062 | 2053 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2063 | 2054 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2064 | 2055 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2065 | 2056 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2066 | 2057 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2067 | 2058 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2068 | 2059 | AMMR_ammrStateFromTorsionalTile_usesTileInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2069 | 2060 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2070 | 2061 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2071 | 2062 | ASICTopology_Workload | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2072 | 2063 | ASICTopology_checkOperationAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2073 | 2064 | ASICTopology_checkWorkloadAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2074 | 2065 | ASICTopology_projectWorkloadToTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2075 | 2066 | ASICTopology_performASICOptimizedOperation | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2076 | 2067 | ASICTopology_asicOperationCost | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2077 | 2068 | ASICTopology_checkOperationAdmissibility_deterministic | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2078 | 2069 | AVMRFrameworkMetaprobe_boltzmannK | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2079 | 2070 | AVMRFrameworkMetaprobe_temperature | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2080 | 2071 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2081 | 2072 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2082 | 2073 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2083 | 2074 | ASCIIGen_ASCIIEncodingData | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2084 | 2075 | ASCIIGen_analyzeASCIIEncoding | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2085 | 2076 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2086 | 2077 | AVMRInformation_shellEntropy | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2087 | 2078 | AVMRInformation_shellEntropyBound | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2088 | 2079 | AVMRInformation_degeneracy | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2089 | 2080 | AVMRInformation_totalCodons | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2090 | 2081 | AVMRInformation_avgDegeneracyCloseToE | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2091 | 2082 | AVMRProofs_3 | AVMRProofs | tools/lean/Semantics/Semantics/AVMRProofs.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2092 | 2083 | AVMRTheorems_proves | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2093 | 2084 | AVMRTheorems_tipCoordinateMassResonance | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2094 | 2085 | AVMRTheorems_fortyFiveLineFactorRevelation | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2095 | 2086 | AVMRTheorems_pronicFactorization | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2096 | 2087 | AVMRTheorems_fortyFiveLineIsGC | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2097 | 2088 | AdaptiveFabric_CMYKState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2098 | 2089 | AdaptiveFabric_FabricState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2099 | 2090 | AdaptiveFabric_FabricConfig | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2100 | 2091 | AdaptiveFabric_step | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2101 | 2092 | AdaptiveFabric_state_determined_by_sluq | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2102 | 2093 | AdaptiveFabric_testConfig | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2103 | 2094 | AdaptiveFabric_initialState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2104 | 2096 | AngrySphinxPolicy_enforceAngrySphinxGate | AngrySphinxPolicy | tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2105 | 2097 | AMMR_WitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2106 | 2098 | AMMR_defaultWitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2107 | 2099 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2108 | 2100 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2109 | 2101 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2110 | 2102 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2111 | 2103 | AMMR_verdictAllowsRoute | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2112 | 2104 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2113 | 2105 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2114 | 2106 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2115 | 2107 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2116 | 2108 | AMMR_ammrStateFromTorsionalTile_usesTileInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2117 | 2109 | ASCIIGen_asciiArtDatabase | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2118 | 2110 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2119 | 2111 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2120 | 2112 | ASICTopology_ASICTopologyEdge | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2121 | 2113 | ASICTopology_ASICTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2122 | 2114 | ASICTopology_rtl8126Topology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2123 | 2115 | ASICTopology_findNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2124 | 2116 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2125 | 2117 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2126 | 2118 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2127 | 2119 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2128 | 2120 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2129 | 2121 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2130 | 2122 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2131 | 2123 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2132 | 2124 | AMMR_ammrStateFromTorsionalTile_usesTileInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2133 | 2125 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2134 | 2126 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2135 | 2127 | ASICTopology_ASICTopologyEdge | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2136 | 2128 | ASICTopology_ASICTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2137 | 2129 | ASICTopology_rtl8126Topology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2138 | 2130 | ASICTopology_findNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2139 | 2131 | ASICTopology_findEdgesFrom | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2140 | 2132 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2141 | 2133 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2142 | 2135 | ASICTopology_checkOperationAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2143 | 2138 | ASICTopology_performASICOptimizedOperation | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2144 | 2139 | ASICTopology_asicOperationCost | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2145 | 2140 | ASICTopology_checkOperationAdmissibility_deterministic | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2146 | 2141 | AVMR_vectorField | AVMR | tools/lean/Semantics/Semantics/AVMR.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2147 | 2142 | AVMRFrameworkMetaprobe_boltzmannK | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2148 | 2143 | AVMRFrameworkMetaprobe_temperature | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2149 | 2144 | AVMRFrameworkMetaprobe_massProduct | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2150 | 2145 | AVMRFrameworkMetaprobe_massProductQ16 | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2151 | 2146 | AVMRFrameworkMetaprobe_widthConstraint | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2152 | 2147 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2153 | 2148 | AdaptiveFabric_CMYKState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2154 | 2149 | AdaptiveFabric_FabricState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2155 | 2150 | AdaptiveFabric_FabricConfig | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2156 | 2151 | AdaptiveFabric_step | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2157 | 2152 | AdaptiveFabric_state_determined_by_sluq | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2158 | 2153 | AdaptiveFabric_testConfig | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2159 | 2154 | AdaptiveFabric_initialState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2160 | 2156 | AgenticOrchestrationField_AgentFieldParams | AgenticOrchestrationField | tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2161 | 2157 | AgenticOrchestrationField_CoordinationParams | AgenticOrchestrationField | tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2162 | 2158 | AMMR_WitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2163 | 2159 | AMMR_defaultWitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2164 | 2160 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2165 | 2161 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2166 | 2162 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2167 | 2163 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2168 | 2164 | AMMR_verdictAllowsRoute | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2169 | 2165 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2170 | 2166 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2171 | 2167 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2172 | 2168 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2173 | 2169 | AMMR_ammrStateFromTorsionalTile_usesTileInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2174 | 2170 | ASCIIArtCompetition_evaluateStyleClassification | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2175 | 2171 | ASCIIGen_asciiArtDatabase | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2176 | 2172 | ASCIIGen_ASCIIEncodingData | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2177 | 2173 | ASCIIGen_analyzeASCIIEncoding | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2178 | 2174 | ASCIIGen_ASCIIDataAccumulator | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2179 | 2175 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2180 | 2176 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2181 | 2177 | ASICTopology_ASICTopologyEdge | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2182 | 2178 | ASICTopology_ASICTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2183 | 2179 | ASICTopology_rtl8126Topology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2184 | 2180 | ASICTopology_findNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2185 | 2181 | ASICTopology_findEdgesFrom | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2186 | 2182 | ASICTopology_geodesicDistance | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2187 | 2183 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2188 | 2184 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2189 | 2185 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2190 | 2186 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2191 | 2187 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2192 | 2188 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2193 | 2189 | AVMRFrameworkMetaprobe_potentialDerivative | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2194 | 2190 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2195 | 2191 | AVMRProofs_3 | AVMRProofs | tools/lean/Semantics/Semantics/AVMRProofs.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2196 | 2192 | AVMRTheorems_proves | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2197 | 2193 | AVMRTheorems_tipCoordinateMassResonance | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2198 | 2194 | AVMRTheorems_fortyFiveLineFactorRevelation | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2199 | 2195 | AVMRTheorems_pronicFactorization | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2200 | 2196 | AVMRTheorems_fortyFiveLineIsGC | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2201 | 2197 | AVMRTheorems_missingLinkODE | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2202 | 2198 | AVMRTheorems_gradientFlowForm | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2203 | 2199 | Adaptation_FlowAudit | Adaptation | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2204 | 2200 | Adaptation_flowAuditLoop | Adaptation | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2205 | 2201 | Adaptation_flowAudit | Adaptation | tools/lean/Semantics/Semantics/Adaptation.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2206 | 2203 | AgenticTheorems_assignmentRespectsCapabilities | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2207 | 2204 | AgenticTheorems_dependenciesRespected | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2208 | 2205 | AngrySphinxPolicy_enforceAngrySphinxGate | AngrySphinxPolicy | tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2209 | 2209 | BitcoinMetaprobe_filterBatch | BitcoinMetaprobe | tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2210 | 2210 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2211 | 2211 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2212 | 2212 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2213 | 2213 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2214 | 2214 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2215 | 2215 | AMMR_ammrStateFromTorsionalTile_usesTileInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2216 | 2216 | ASCIIGen_ASCIIEncodingData | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2217 | 2217 | ASCIIGen_analyzeASCIIEncoding | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2218 | 2218 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2219 | 2219 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2220 | 2220 | ASICTopology_ASICTopologyEdge | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2221 | 2221 | ASICTopology_ASICTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2222 | 2222 | ASICTopology_rtl8126Topology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2223 | 2223 | ASICTopology_findNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2224 | 2224 | ASICTopology_findEdgesFrom | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2225 | 2225 | AVMR_vectorField | AVMR | tools/lean/Semantics/Semantics/AVMR.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2226 | 2226 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2227 | 2227 | ASCIIGen_ASCIIEncodingData | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2228 | 2228 | ASCIIGen_analyzeASCIIEncoding | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2229 | 2229 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2230 | 2231 | ASICTopology_checkOperationAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2231 | 2234 | ASICTopology_performASICOptimizedOperation | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2232 | 2235 | ASICTopology_asicOperationCost | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2233 | 2236 | ASICTopology_checkOperationAdmissibility_deterministic | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2234 | 2237 | AVMR_vectorField | AVMR | tools/lean/Semantics/Semantics/AVMR.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2235 | 2238 | AVMRFrameworkMetaprobe_boltzmannK | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2236 | 2239 | AVMRFrameworkMetaprobe_temperature | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2237 | 2240 | AVMRFrameworkMetaprobe_massProduct | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2238 | 2241 | AVMRFrameworkMetaprobe_massProductQ16 | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2239 | 2242 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2240 | 2243 | AVMRInformation_degeneracy | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2241 | 2244 | AVMRInformation_totalCodons | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2242 | 2245 | AVMRInformation_avgDegeneracyCloseToE | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2243 | 2246 | AdaptiveFabric_CMYKState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2244 | 2247 | AdaptiveFabric_FabricState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2245 | 2248 | AdaptiveFabric_FabricConfig | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2246 | 2249 | AdaptiveFabric_step | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2247 | 2250 | AdaptiveFabric_state_determined_by_sluq | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2248 | 2251 | AdaptiveFabric_testConfig | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2249 | 2252 | AdaptiveFabric_initialState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2250 | 2253 | AMMR_WitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2251 | 2254 | AMMR_defaultWitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2252 | 2255 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2253 | 2256 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2254 | 2257 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2255 | 2258 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2256 | 2259 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2257 | 2260 | AMMR_ammrStateFromTorsionalTile_usesTileInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2258 | 2261 | ASCIIArtCompetition_evaluateStyleClassification | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2259 | 2262 | ASICTopology_checkOperationAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2260 | 2263 | ASICTopology_checkWorkloadAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2261 | 2264 | ASICTopology_asicOptimizedChecksum | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2262 | 2265 | ASICTopology_asicInputInvariant | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2263 | 2266 | ASICTopology_asicOutputInvariant | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2264 | 2267 | ASICTopology_checkOperationAdmissibility_deterministic | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2265 | 2268 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2266 | 2269 | AVMRProofs_3 | AVMRProofs | tools/lean/Semantics/Semantics/AVMRProofs.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2267 | 2270 | AVMRTheorems_proves | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2268 | 2271 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2269 | 2272 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2270 | 2273 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2271 | 2274 | AMMR_verdictAllowsRoute | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2272 | 2275 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2273 | 2276 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2274 | 2277 | ASCIIGen_asciiArtDatabase | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2275 | 2278 | ASCIIGen_ASCIIEncodingData | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2276 | 2279 | ASCIIGen_analyzeASCIIEncoding | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2277 | 2280 | ASCIIGen_ASCIIDataAccumulator | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2278 | 2281 | ASCIIGen_emptyASCIIDataAccumulator | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2279 | 2282 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2280 | 2283 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2281 | 2284 | ASICTopology_ASICTopologyEdge | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2282 | 2285 | ASICTopology_ASICTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2283 | 2286 | ASICTopology_rtl8126Topology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2284 | 2287 | ASICTopology_findNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2285 | 2288 | ASICTopology_findEdgesFrom | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2286 | 2289 | ASICTopology_geodesicDistance | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2287 | 2290 | ASICTopology_Workload | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2288 | 2291 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2289 | 2292 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2290 | 2293 | ASCIIGen_ASCIIEncodingData | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2291 | 2294 | ASCIIGen_analyzeASCIIEncoding | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2292 | 2295 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2293 | 2298 | AVMRInformation_degeneracy | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2294 | 2299 | AVMRInformation_totalCodons | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2295 | 2300 | AVMRInformation_avgDegeneracyCloseToE | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2296 | 2301 | AVMRProofs_3 | AVMRProofs | tools/lean/Semantics/Semantics/AVMRProofs.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2297 | 2302 | AVMRTheorems_proves | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2298 | 2303 | AVMRTheorems_tipCoordinateMassResonance | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2299 | 2304 | AVMRTheorems_fortyFiveLineFactorRevelation | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2300 | 2305 | AVMRTheorems_pronicFactorization | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2301 | 2306 | AVMRTheorems_fortyFiveLineIsGC | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2302 | 2307 | AVMRTheorems_missingLinkODE | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2303 | 2308 | AVMRTheorems_gradientFlowForm | AVMRTheorems | tools/lean/Semantics/Semantics/AVMRTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2304 | 2309 | AdaptiveFabric_CMYKState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2305 | 2310 | AdaptiveFabric_FabricState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2306 | 2311 | AdaptiveFabric_FabricConfig | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2307 | 2312 | AdaptiveFabric_step | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2308 | 2313 | AdaptiveFabric_state_determined_by_sluq | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2309 | 2314 | AdaptiveFabric_testConfig | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2310 | 2315 | AdaptiveFabric_initialState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2311 | 2317 | AgenticTheorems_assignmentRespectsCapabilities | AgenticTheorems | tools/lean/Semantics/Semantics/AgenticTheorems.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2312 | 2318 | AngrySphinxPolicy_enforceAngrySphinxGate | AngrySphinxPolicy | tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2313 | 2319 | AtomicResolution_compressionContractsAtomicResolution | AtomicResolution | tools/lean/Semantics/Semantics/AtomicResolution.lean | Lean | ✅ | LAYER_A_COMPRESSION | informational_bind | ||||
| 2314 | 2322 | Bind_informationalBind | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2315 | 2324 | Bind_controlBind | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2316 | 2325 | Bind_informationalBind_preservesLeft | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2317 | 2326 | Bind_informationalBind_preservesRight | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2318 | 2327 | Bind_InformationTheoreticConstraints | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2319 | 2328 | Bind_InformationTheoreticConstraints | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2320 | 2329 | BitcoinMetaprobe_filterBatch | BitcoinMetaprobe | tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2321 | 2330 | BoundaryDynamics_reconnectionPotentialOf | BoundaryDynamics | tools/lean/Semantics/Semantics/BoundaryDynamics.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2322 | 2331 | BoundaryDynamics_explicitAliasDetected | BoundaryDynamics | tools/lean/Semantics/Semantics/BoundaryDynamics.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2323 | 2332 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2324 | 2333 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2325 | 2334 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2326 | 2335 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2327 | 2336 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2328 | 2337 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2329 | 2338 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2330 | 2339 | ASICTopology_ASICTopologyEdge | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2331 | 2340 | ASICTopology_ASICTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2332 | 2341 | ASICTopology_rtl8126Topology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2333 | 2342 | ASICTopology_findNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2334 | 2343 | ASICTopology_findEdgesFrom | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2335 | 2344 | ASICTopology_geodesicDistance | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2336 | 2345 | AVMR_vectorField | AVMR | tools/lean/Semantics/Semantics/AVMR.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2337 | 2346 | AVMRFrameworkMetaprobe_boltzmannK | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2338 | 2347 | AVMRFrameworkMetaprobe_temperature | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2339 | 2348 | AVMRFrameworkMetaprobe_massProduct | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2340 | 2349 | AVMRFrameworkMetaprobe_massProductQ16 | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2341 | 2350 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2342 | 2351 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2343 | 2352 | ASICTopology_checkOperationAdmissibility | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2344 | 2353 | ASICTopology_performASICOptimizedOperation | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2345 | 2354 | ASICTopology_asicOperationCost | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2346 | 2355 | ASICTopology_checkOperationAdmissibility_deterministic | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2347 | 2356 | AVMR_vectorField | AVMR | tools/lean/Semantics/Semantics/AVMR.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2348 | 2357 | AVMRFrameworkMetaprobe_normalizedCoordinate | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2349 | 2358 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2350 | 2361 | AgenticHardware_AgentFrustrationWave | AgenticHardware | tools/lean/Semantics/Semantics/AgenticHardware.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2351 | 2362 | AgenticOrchestrationField_AgentFieldParams | AgenticOrchestrationField | tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2352 | 2363 | AgenticOrchestrationField_CoordinationParams | AgenticOrchestrationField | tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean | Lean | ✅ | LAYER_H_ALGEBRA | algebraic_bind | ||||
| 2353 | 2364 | AngrySphinxPolicy_enforceAngrySphinxGate | AngrySphinxPolicy | tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2354 | 2365 | AtomicResolution_compressionContractsAtomicResolution | AtomicResolution | tools/lean/Semantics/Semantics/AtomicResolution.lean | Lean | ✅ | LAYER_A_COMPRESSION | informational_bind | ||||
| 2355 | 2366 | Atoms_SemanticFrustrationWave | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2356 | 2367 | Basic_BasicFrustrationWave | Basic | tools/lean/Semantics/Semantics/Basic.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2357 | 2368 | Bind_physicalBind | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2358 | 2369 | BitcoinMetaprobe_filterBatch | BitcoinMetaprobe | tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2359 | 2370 | BracketShellCount_ShellSystem | BracketShellCount | tools/lean/Semantics/Semantics/BracketShellCount.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2360 | 2371 | BracketShellCount_computeSystemBracket | BracketShellCount | tools/lean/Semantics/Semantics/BracketShellCount.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2361 | 2372 | BracketShellCount_nuclearShellSystem | BracketShellCount | tools/lean/Semantics/Semantics/BracketShellCount.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2362 | 2373 | BracketShellCount_systemAdmissibleIff | BracketShellCount | tools/lean/Semantics/Semantics/BracketShellCount.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2363 | 2374 | BracketedCalculus_encode | BracketedCalculus | tools/lean/Semantics/Semantics/BracketedCalculus.lean | Lean | ✅ | LAYER_A_COMPRESSION | informational_bind | ||||
| 2364 | 2375 | BraidBracket_PhaseVec | BraidBracket | tools/lean/Semantics/Semantics/BraidBracket.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2365 | 2376 | BraidBracket_fromPhaseVec | BraidBracket | tools/lean/Semantics/Semantics/BraidBracket.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2366 | 2377 | BraidBracket_phaseAccumulation | BraidBracket | tools/lean/Semantics/Semantics/BraidBracket.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2367 | 2378 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2368 | 2379 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2369 | 2380 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2370 | 2381 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2371 | 2382 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2372 | 2383 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2373 | 2384 | AMMR_rgflowStrip_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2374 | 2385 | AMMR_quaternionReductionUpdate_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2375 | 2386 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2376 | 2387 | AgenticHardware_AgentFrustrationWave | AgenticHardware | tools/lean/Semantics/Semantics/AgenticHardware.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2377 | 2388 | AngrySphinxPolicy_enforceAngrySphinxGate | AngrySphinxPolicy | tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2378 | 2389 | Atoms_SemanticFrustrationWave | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2379 | 2390 | Basic_BasicFrustrationWave | Basic | tools/lean/Semantics/Semantics/Basic.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2380 | 2391 | Bind_physicalBind | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2381 | 2392 | AMMR_WitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2382 | 2393 | AMMR_defaultWitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2383 | 2394 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2384 | 2395 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2385 | 2396 | ASICTopology_Workload | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2386 | 2397 | ASICTopology_projectWorkloadToTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2387 | 2398 | AVMRFrameworkMetaprobe_boltzmannK | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2388 | 2399 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2389 | 2400 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2390 | 2401 | AMMR_rgflowStripLawful | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_B_ROUTING | informational_bind | ||||
| 2391 | 2402 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2392 | 2403 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2393 | 2404 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2394 | 2405 | ASICTopology_ASICTopologyEdge | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_BRAID | geometric_bind | ||||
| 2395 | 2406 | AMMR_quaternionMotion | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2396 | 2407 | AVMRFrameworkMetaprobe_spectralWeight | AVMRFrameworkMetaprobe | tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2397 | 2408 | AVMRInformation_shellEntropy | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_A_COMPRESSION | informational_bind | ||||
| 2398 | 2409 | AVMRInformation_shellEntropyBound | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_A_COMPRESSION | informational_bind | ||||
| 2399 | 2410 | AgenticHardware_AgentFrustrationWave | AgenticHardware | tools/lean/Semantics/Semantics/AgenticHardware.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2400 | 2411 | AngrySphinxPolicy_enforceAngrySphinxGate | AngrySphinxPolicy | tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2401 | 2412 | AtomicResolution_compressionContractsAtomicResolution | AtomicResolution | tools/lean/Semantics/Semantics/AtomicResolution.lean | Lean | ✅ | LAYER_A_COMPRESSION | informational_bind | ||||
| 2402 | 2413 | Atoms_SemanticFrustrationWave | Atoms | tools/lean/Semantics/Semantics/Atoms.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2403 | 2414 | Basic_BasicFrustrationWave | Basic | tools/lean/Semantics/Semantics/Basic.lean | Lean | ✅ | LAYER_K_SIGNAL | signal_bind | ||||
| 2404 | 2415 | Bind_physicalBind | Bind | tools/lean/Semantics/Semantics/Bind.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2405 | 2416 | BracketShellCount_ShellSystem | BracketShellCount | tools/lean/Semantics/Semantics/BracketShellCount.lean | Lean | ✅ | LAYER_L_APPLICATION | physical_bind | ||||
| 2406 | 2417 | AMMR_invariantOf | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2407 | 2418 | AMMR_rgflowStrip | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2408 | 2419 | AMMR_rgflowStripRetainedChannels | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_J_DYNAMICS | control_bind | ||||
| 2409 | 2420 | AMMR_projectK_preservesInvariant | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_D_INVARIANTS | state_bind | ||||
| 2410 | 2421 | ASICTopology_CapabilityVector | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2411 | 2422 | ASICTopology_ASICTopologyNode | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_C_TOPOLOGY | geometric_bind | ||||
| 2412 | 2423 | AMMR_WitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2413 | 2424 | AMMR_defaultWitnessRoot | AMMR | tools/lean/Semantics/Semantics/AMMR.lean | Lean | ✅ | LAYER_E_VERIFICATION | metric_bind | ||||
| 2414 | 2425 | ASCIIArtCompetition_evaluateSemanticSimilarity | ASCIIArtCompetition | tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean | Lean | ✅ | LAYER_M_LEAN_SEMANTICS | logic_bind | ||||
| 2415 | 2426 | ASCIIGen_ASCIIEncodingData | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2416 | 2427 | ASCIIGen_analyzeASCIIEncoding | ASCIIGen | tools/lean/Semantics/Semantics/ASCIIGen.lean | Lean | ✅ | LAYER_I_ENCODING | informational_bind | ||||
| 2417 | 2428 | ASICTopology_Workload | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2418 | 2429 | ASICTopology_projectWorkloadToTopology | ASICTopology | tools/lean/Semantics/Semantics/ASICTopology.lean | Lean | ✅ | LAYER_G_ENERGY | thermodynamic_bind | ||||
| 2419 | 2430 | AVMRInformation_shellEntropy | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_A_COMPRESSION | informational_bind | ||||
| 2420 | 2431 | AVMRInformation_shellEntropyBound | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_A_COMPRESSION | informational_bind | ||||
| 2421 | 2432 | AdaptiveFabric_CMYKState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2422 | 2433 | AdaptiveFabric_FabricState | AdaptiveFabric | tools/lean/Semantics/Semantics/AdaptiveFabric.lean | Lean | ✅ | LAYER_F_CONTROL | control_bind | ||||
| 2423 | 2434 | Bandyopadhyay_Cycle_StringStar | StringStar | I_total = I_bulk + I_horizon + I_vacuum | I_total=total information, I_bulk=kinetic matter, I_horizon=holographic surface, I_vacuum=ambient radiation | Unitary information conservation across three mutually exclusive phases | String-Star-Manifold/Rupayan52-String-Star-Manifold-153b359/docs/THEORY.md | Pending | ✅ | 2437,2438,2439,2440,2441 | LAYER_D_INVARIANTS | informational_bind |
| 2424 | 2435 | Hawking_Temperature_StringStar | StringStar | T_H = ℏc³/(8πGMk_B) | T_H=Hawking temperature, ℏ=reduced Planck, c=speed of light, G=gravitational constant, M=mass, k_B=Boltzmann constant | Inverse relationship between mass and black hole temperature | String-Star-Manifold/Rupayan52-String-Star-Manifold-153b359/docs/THEORY.md | Pending | ✅ | 2436 | LAYER_G_ENERGY | thermodynamic_bind |
| 2425 | 2436 | Bekenstein_Hawking_Entropy_StringStar | StringStar | S = A/4 | S=entropy, A=surface area | Holographic principle: entropy proportional to horizon surface area | String-Star-Manifold/Rupayan52-String-Star-Manifold-153b359/docs/THEORY.md | Pending | ✅ | 2436,2439 | LAYER_G_ENERGY | thermodynamic_bind |
| 2426 | 2437 | Schwarzschild_Radius_StringStar | StringStar | r_s = 2GM/c² | r_s=event horizon radius, G=gravitational constant, M=mass, c=speed of light | Event horizon radius for non-rotating black hole | String-Star-Manifold/Rupayan52-String-Star-Manifold-153b359/docs/THEORY.md | Pending | ✅ | 2436,2440 | LAYER_C_TOPOLOGY | geometric_bind |
| 2427 | 2438 | Quadrupole_GW_Power_StringStar | StringStar | P = (32/5)(G⁴/c⁵)(m₁²m₂²(m₁+m₂))/r⁵ | P=gravitational wave power, G=gravitational constant, c=speed of light, m₁,m₂=masses, r=separation | Orbital decay energy loss via gravitational radiation | String-Star-Manifold/Rupayan52-String-Star-Manifold-153b359/docs/THEORY.md | Pending | ✅ | 2436 | LAYER_H_ALGEBRA | physical_bind |
| 2428 | 2439 | Relativistic_Gamma_StringStar | StringStar | γ = 1/√(1 - v²/c²) | γ=Lorentz factor, v=velocity, c=speed of light | Time dilation factor for relativistic velocities | String-Star-Manifold/Rupayan52-String-Star-Manifold-153b359/engine/v17_1_True_Omega.py | Pending | ✅ | 2436 | LAYER_H_ALGEBRA | physical_bind |
| 2429 | 2440 | AVMRInformation_shellEntropy | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_A_COMPRESSION | informational_bind | ||||
| 2430 | 2441 | AVMRInformation_shellEntropyBound | AVMRInformation | tools/lean/Semantics/Semantics/AVMRInformation.lean | Lean | ✅ | LAYER_A_COMPRESSION | informational_bind | ||||
| 2431 | 2442 | Scale_Space_Gaussian_Smoothing | ScaleSpace | L(x,t) = G(x,t) * f(x), G(x,t) = (1/2πt)exp(-|x|²/2t) | L=scale-space representation, G=Gaussian kernel, f=input signal, t=scale parameter | Structures emerge at appropriate scales via Gaussian smoothing; foundational for scale-space theory | EQUATION_FOREST_INDEX.md | Pending | ✅ | 2443,2444 | LAYER_C_TOPOLOGY | geometric_bind |
| 2432 | 2443 | Wavelet_Transform | ScaleSpace | W(a,b) = (1/√|a|)∫ f(x)ψ*((x-b)/a)dx | W=wavelet coefficient, a=scale, b=translation, ψ=mother wavelet | Localized frequency analysis; structure emerges from coherence and distributed frequency across scale | EQUATION_FOREST_INDEX.md | Pending | ✅ | 2442,2445 | LAYER_C_TOPOLOGY | geometric_bind |
| 2433 | 2444 | Renormalization_Group | ScaleSpace | ∂g/∂l = β(g) | g=coupling constant, l=logarithmic scale, β=beta function | Physical behaviors evolve consistently across scales; universality classes emerge from fixed points | EQUATION_FOREST_INDEX.md | Pending | ✅ | 2442,2446 | LAYER_D_INVARIANTS | physical_bind |
| 2434 | 2445 | Fractal_Self_Similarity | ScaleSpace | f(λx) = λ^H f(x) | f=fractal function, λ=scale factor, H=Hurst exponent | Recursive patterns across scales; same structure at different magnifications | EQUATION_FOREST_INDEX.md | Pending | ✅ | 2443,2446 | LAYER_C_TOPOLOGY | geometric_bind |
| 2435 | 2446 | Cellular_Automaton_Rule110 | ScaleSpace | s_i(t+1) = f(s_{i-1}(t), s_i(t), s_{i+1}(t)) with Rule110 truth table | s=cell state, f=update rule, i=position, t=time | Minimal computational complexity producing rich emergent behavior from simple deterministic rules | EQUATION_FOREST_INDEX.md | Pending | ✅ | 2445,2447 | LAYER_H_ALGEBRA | control_bind |
| 2436 | 2447 | Turing_Patterns | ScaleSpace | ∂u/∂t = D_u∇²u + f(u,v), ∂v/∂t = D_v∇²v + g(u,v) | u,v=morphogen concentrations, D=diffusion coefficients, f,g=reaction kinetics | Spatial self-organization via diffusion-driven instability; resonant structures emerge from simple interactions | EQUATION_FOREST_INDEX.md | Pending | ✅ | 2446,2448 | LAYER_C_TOPOLOGY | geometric_bind |
| 2437 | 2448 | Shannon_Entropy | ScaleSpace | H = -Σ p(x)log₂ p(x) | p=probability distribution, H=entropy in bits | Information content measurement; quantifies uncertainty and guides emergence of coherent patterns from chaos | EQUATION_FOREST_INDEX.md | Pending | ✅ | 2449,2450 | LAYER_A_COMPRESSION | informational_bind |
| 2438 | 2449 | Negentropy | ScaleSpace | N = H_max - H | H_max=maximum entropy, H=actual entropy | Spontaneous formation of structured, meaningful states from initial randomness; negative entropy as order measure | EQUATION_FOREST_INDEX.md | Pending | ✅ | 2448,2450 | LAYER_A_COMPRESSION | informational_bind |
| 2439 | 2450 | Phase_Transition | ScaleSpace | L = L₀ + A|t - t_c|^β, C = C₀ + B|t - t_c|^-α | L=order parameter, C=specific heat, t=temperature, t_c=critical point, α,β=critical exponents | Emergence thresholds marking dramatic shifts in complexity and coherence; critical phenomena at phase boundaries | EQUATION_FOREST_INDEX.md | Pending | ✅ | 2448,2451 | LAYER_G_ENERGY | thermodynamic_bind |
| 2440 | 2451 | Fourier_Transform | ScaleSpace | F(ω) = ∫ f(t)e^(-iωt)dt | F=frequency domain, ω=angular frequency, f=time domain, t=time | Decomposes complexity into simpler wave-like patterns; standing waves as stable emergent forms | EQUATION_FOREST_INDEX.md | Pending | ✅ | 2447,2452 | LAYER_C_TOPOLOGY | geometric_bind |
| 2441 | 2452 | Twistor_Theory | ScaleSpace | T = CP³ (complex projective 3-space) as space of null geodesics | T=twistor space, CP³=complex projective space | Emergent dimensionality from relationships; structure not fixed but emergent from relationships and informational flow | EQUATION_FOREST_INDEX.md | Pending | ✅ | 2451 | LAYER_C_TOPOLOGY | geometric_bind |
| 2442 | 2453 | Vant_Hoff_Osmotic_Pressure | Desalination | Π = i·c·R·T | Π=osmotic pressure (Pa), i=van't Hoff factor, c=molar concentration (mol/m³), R=gas constant (8.314 J/mol·K), T=temperature (K) | Fundamental equation for osmotic pressure; determines minimum pressure required for reverse osmosis | desalination/osmotic_pressure.md | Pending | ✅ | 2454,2455 | LAYER_G_ENERGY | thermodynamic_bind |
| 2443 | 2454 | Reverse_Osmosis_Energy | Desalination | W_min = Π·V·(1/η_pump) | W_min=minimum work (J), Π=osmotic pressure, V=volume, η_pump=pump efficiency | Minimum energy required to overcome osmotic pressure for water purification | desalination/reverse_osmosis_energy.md | Pending | ✅ | 2453,2456 | LAYER_G_ENERGY | thermodynamic_bind |
| 2444 | 2455 | Specific_Energy_Consumption | Desalination | SEC = (P·V)/(Q·η) | SEC=specific energy (kWh/m³), P=pressure (Pa), V=volume (m³), Q=flow rate (m³/s), η=efficiency | Standard metric for desalination energy efficiency; benchmark ~3-4 kWh/m³ for seawater RO | desalination/sec_metrics.md | Pending | ✅ | 2454,2457 | LAYER_G_ENERGY | thermodynamic_bind |
| 2445 | 2456 | Membrane_Permeability | Desalination | J_w = A·(ΔP - Δπ) | J_w=water flux (kg/m²·s), A=water permeability coefficient, ΔP=hydraulic pressure difference, Δπ=osmotic pressure difference | Solution-diffusion model for water transport through semi-permeable membranes | desalination/membrane_permeability.md | Pending | ✅ | 2453,2455,2458 | LAYER_C_TOPOLOGY | physical_bind |
| 2446 | 2457 | Gibbs_Free_Energy_Mixing | Desalination | ΔG_mix = nRT(x_A ln x_A + x_B ln x_B) | ΔG_mix=Gibbs free energy of mixing, n=moles, x=mole fractions | Thermodynamic cost of separating salt from water; lower bound for desalination energy | desalination/thermodynamics.md | Pending | ✅ | 2455,2459 | LAYER_G_ENERGY | thermodynamic_bind |
| 2447 | 2458 | Concentration_Polarization | Desalination | C_m = C_b·exp(J_w/k) | C_m=membrane surface concentration, C_b=bulk concentration, J_w=water flux, k=mass transfer coefficient | Salt accumulation at membrane surface reduces effective driving force; critical for RO efficiency | desalination/concentration_polarization.md | Pending | ✅ | 2456,2460 | LAYER_C_TOPOLOGY | physical_bind |
| 2448 | 2459 | Enthalpy_Vaporization | Desalination | ΔH_vap = 40.66 kJ/mol at 100°C (water) | ΔH_vap=enthalpy of vaporization, varies with temperature | Energy required for thermal desalination (distillation, multi-stage flash) | desalination/thermal_distillation.md | Pending | ✅ | 2457,2461 | LAYER_G_ENERGY | thermodynamic_bind |
| 2449 | 2460 | Salt_Rejection | Desalination | R = 1 - (C_p/C_f) | R=rejection fraction, C_p=permeate concentration, C_f=feed concentration | Membrane selectivity metric; 99.7% rejection typical for seawater RO | desalination/membrane_selectivity.md | Pending | ✅ | 2458,2462 | LAYER_C_TOPOLOGY | physical_bind |
| 2450 | 2461 | Recovery_Rate | Desalination | Y = Q_p/Q_f | Y=recovery rate, Q_p=permeate flow, Q_f=feed flow | Fraction of feed water converted to product; 40-50% typical for seawater RO | desalination/system_design.md | Pending | ✅ | 2459,2463 | LAYER_G_ENERGY | thermodynamic_bind |
| 2451 | 2462 | Fouling_Resistance | Desalination | R_f = (R_t - R_m)/R_m | R_f=fouling resistance, R_t=total resistance, R_m=membrane resistance | Membrane degradation over time due to scaling, biofouling, colloidal deposition | desalination/fouling_dynamics.md | Pending | ✅ | 2460,2464 | LAYER_C_TOPOLOGY | physical_bind |
| 2452 | 2463 | Exergy_Analysis_Desalination | Desalination | Ex = (H - H₀) - T₀(S - S₀) | Ex=exergy, H=enthalpy, S=entropy, T₀=reference temperature | Second-law efficiency analysis; identifies thermodynamic losses in desalination processes | desalination/exergy_analysis.md | Pending | ✅ | 2461,2454 | LAYER_G_ENERGY | thermodynamic_bind |
| 2453 | 2464 | Incompressible_Navier_Stokes | Fluid Dynamics | ∂v/∂t + (v·∇)v = -∇P/ρ + ν∇²v + g | v=velocity field, P=pressure, ρ=density, ν=kinematic viscosity, g=gravity | Momentum conservation for incompressible viscous flow; fundamental equation of fluid dynamics | fluid_dynamics/navier_stokes.md | Pending | ✅ | 2465,2466,2467,2495 | LAYER_C_TOPOLOGY | physical_bind |
| 2454 | 2465 | Incompressible_Continuity | Fluid Dynamics | ∇·v = 0 | v=velocity field | Mass conservation for incompressible flow; density is constant | fluid_dynamics/continuity.md | Pending | ✅ | 2464,2468 | LAYER_C_TOPOLOGY | physical_bind |
| 2455 | 2466 | Bernoulli_Equation_Incompressible | Fluid Dynamics | P + ½ρv² + ρgh = constant | P=pressure, ρ=density, v=velocity, g=gravity, h=elevation | Energy conservation along streamline for steady incompressible flow; pressure-velocity relationship | fluid_dynamics/bernoulli.md | Pending | ✅ | 2464,2469,2492 | LAYER_G_ENERGY | thermodynamic_bind |
| 2456 | 2467 | Poiseuille_Flow | Fluid Dynamics | Q = πΔP r⁴ / (8μL) | Q=volumetric flow rate, ΔP=pressure drop, r=pipe radius, μ=dynamic viscosity, L=length | Laminar flow through circular pipe; pressure-driven flow model for membrane channels | fluid_dynamics/poiseuille.md | Pending | ✅ | 2464,2470,2503 | LAYER_C_TOPOLOGY | physical_bind |
| 2457 | 2468 | Stokes_Flow | Fluid Dynamics | F = 6πμRv | F=drag force, μ=dynamic viscosity, R=particle radius, v=velocity | Low Reynolds number flow (creeping flow); viscous forces dominate inertial forces | fluid_dynamics/stokes_flow.md | Pending | ✅ | 2465,2471,2501 | LAYER_C_TOPOLOGY | physical_bind |
| 2458 | 2469 | Boundary_Layer_Thickness | Fluid Dynamics | δ ≈ √(νx/U) | δ=boundary layer thickness, ν=kinematic viscosity, x=distance from leading edge, U=free stream velocity | Growth of viscous boundary layer along flat plate; critical for membrane surface flow | fluid_dynamics/boundary_layer.md | Pending | ✅ | 2466,2472,2498 | LAYER_C_TOPOLOGY | physical_bind |
| 2459 | 2470 | Shear_Stress_Viscous | Fluid Dynamics | τ = μ(∂u/∂y) | τ=shear stress, μ=dynamic viscosity, u=velocity, y=normal direction | Newton's law of viscosity; viscous stress proportional to velocity gradient | fluid_dynamics/shear_stress.md | Pending | ✅ | 2467,2473,2493 | LAYER_C_TOPOLOGY | physical_bind |
| 2460 | 2471 | Reynolds_Transition | Fluid Dynamics | Re_crit ≈ 2300 (pipe), 5×10⁵ (flat plate) | Re=ρvL/μ, Re_crit=critical Reynolds number | Transition from laminar to turbulent flow; determines flow regime in membrane systems | fluid_dynamics/reynolds_transition.md | Pending | ✅ | 2468,2474,2497 | LAYER_C_TOPOLOGY | physical_bind |
| 2461 | 2472 | Friction_Factor_Laminar | Fluid Dynamics | f = 64/Re | f=friction factor, Re=Reynolds number | Darcy-Weisbach friction factor for laminar pipe flow; pressure drop calculation | fluid_dynamics/friction_factor.md | Pending | ✅ | 2469,2475,2507 | LAYER_C_TOPOLOGY | physical_bind |
| 2462 | 2473 | Vorticity_Equation | Fluid Dynamics | ∂ω/∂t + (v·∇)ω = (ω·∇)v + ν∇²ω | ω=vorticity (∇×v), v=velocity, ν=kinematic viscosity | Evolution of fluid rotation; vortex stretching and diffusion in incompressible flow | fluid_dynamics/vorticity.md | Pending | ✅ | 2470,2476 | LAYER_C_TOPOLOGY | physical_bind |
| 2463 | 2474 | Pressure_Drop_Darcy | Fluid Dynamics | ΔP = f(L/D)(ρv²/2) | ΔP=pressure drop, f=friction factor, L=length, D=diameter, ρ=density, v=velocity | Pressure loss in pipe flow; energy dissipation due to friction | fluid_dynamics/darcy_weisbach.md | Pending | ✅ | 2471,2464 | LAYER_G_ENERGY | thermodynamic_bind |
| 2464 | 2475 | Laminar_Parabolic_Profile | Fluid Dynamics | u(r) = u_max(1 - r²/R²) | u(r)=velocity at radius r, u_max=centerline velocity, R=pipe radius | Parabolic velocity profile for fully developed laminar pipe flow; maximum at center, zero at walls | fluid_dynamics/velocity_profile.md | Pending | ✅ | 2472,2467,2504 | LAYER_C_TOPOLOGY | physical_bind |
| 2465 | 2476 | Stream_Function | Fluid Dynamics | ψ = ∫ u dy - ∫ v dx | ψ=stream function, u,v=velocity components | Automatically satisfies incompressible continuity; streamlines follow ψ=constant contours | fluid_dynamics/stream_function.md | Pending | ✅ | 2473,2465 | LAYER_C_TOPOLOGY | physical_bind |
| 2466 | 2477 | Kutta_Joukowski_Theorem | Fluid Dynamics | L = ρ·V·Γ | L=lift per unit span, ρ=fluid density, V=free stream velocity, Γ=circulation | Fundamental theorem connecting circulation to lift in 2D potential flow | fluid_dynamics/kutta_joukowski.md | Pending | ✅ | 2478,2479,2481,2480 | LAYER_C_TOPOLOGY | physical_bind |
| 2467 | 2478 | Circulation_Definition | Fluid Dynamics | Γ = ∮ v·dl | Γ=circulation, v=velocity, dl=infinitesimal path element | Line integral of velocity around closed curve; quantifies fluid rotation | fluid_dynamics/circulation.md | Pending | ✅ | 2477,2480,2485 | LAYER_C_TOPOLOGY | physical_bind |
| 2468 | 2479 | Magnus_Force | Fluid Dynamics | F_M = S·ρ·V·Γ | F_M=Magnus force, S=spin parameter, ρ=density, V=velocity, Γ=circulation | Lift force on spinning cylinder/sphere due to circulation; perpendicular to velocity and spin axis | fluid_dynamics/magnus_effect.md | Pending | ✅ | 2477,2481,2486 | LAYER_C_TOPOLOGY | physical_bind |
| 2469 | 2480 | Lift_Coefficient_Circulation | Fluid Dynamics | C_L = 2Γ/(V·c) | C_L=lift coefficient, Γ=circulation, V=velocity, c=chord length | Relates circulation to dimensionless lift coefficient for 2D airfoils | fluid_dynamics/lift_coefficient.md | Pending | ✅ | 2481,2482 | LAYER_C_TOPOLOGY | physical_bind |
| 2470 | 2481 | Magnus_Effect | Fluid Dynamics | F_M = ρ·V·Γ·S | F_M=Magnus force, ρ=density, V=velocity, Γ=circulation, S=spin parameter | Force on rotating object due to circulation; perpendicular to velocity and spin axis | fluid_dynamics/magnus_effect.md | Pending | ✅ | 2479,2480 | LAYER_C_TOPOLOGY | physical_bind |
| 2471 | 2482 | Circulation_Lift | Fluid Dynamics | L = ρ·V·Γ | L=lift, ρ=density, V=velocity, Γ=circulation | Lift force due to circulation; fundamental principle of aerodynamics | fluid_dynamics/circulation_lift.md | Pending | ✅ | 2480,2481 | LAYER_C_TOPOLOGY | physical_bind |
| 2472 | 2483 | N_Space_Circulation | Manifold Dynamics | Γ_n = ∮_∂Ω ω | Γ_n=n-dimensional circulation, ω=(n-1)-form, ∂Ω=boundary of n-manifold Ω | Generalized Stokes theorem: circulation as integral of differential form over manifold boundary; generalizes 2D circulation to n-dimensions | manifold_dynamics/n_space_circulation.md | Pending | ✅ | 2486,2487 | LAYER_C_TOPOLOGY | geometric_bind |
| 2473 | 2484 | N_Space_Magnus_Force | Manifold Dynamics | F_M^n = ρ·(V × ω_n) | F_M^n=n-dimensional Magnus force tensor, ρ=density, V=velocity vector, ω_n=n-dimensional circulation pseudovector | Magnus effect generalized to n-space: cross product of velocity with circulation pseudovector yields lift force in perpendicular hyperplane | manifold_dynamics/n_space_magnus.md | Pending | ✅ | 2485,2488 | LAYER_C_TOPOLOGY | geometric_bind |
| 2474 | 2485 | FAMM_Frustration_Tensor | N-Space Dynamics | Φ_μν = (Σ_thermal + Σ_steric + Σ_magnus)_μν / Σ_magnetic_μν | Φ_μν=frustration tensor (rank-2), Σ=stress tensors (rank-2), μ,ν=manifold indices | FAMM frustration generalized to n-space as rank-2 tensor field on manifold; competing stress tensors create geometric frustration in n-dimensional assembly | n_space/famm_frustration_tensor.md | Pending | ✅ | 2485,2489 | LAYER_C_TOPOLOGY | control_bind |
| 2475 | 2486 | Magnus_FAMM_Coupling | N-Space Dynamics | ∂_t Φ_μν = -∇_μ F_M^ν + ∇_ν F_M^μ + λ·Φ_μν | ∂_t=time derivative, ∇=covariant derivative, F_M^ν=Magnus force vector, λ=coupling constant | Dynamical coupling between Magnus circulation and FAMM frustration tensor on n-manifold; Magnus force drives frustration evolution via covariant transport | n_space/magnus_famm_coupling.md | Pending | ✅ | 2486,2487,2490 | LAYER_C_TOPOLOGY | control_bind |
| 2476 | 2487 | N_Space_Circulation_Metric | Manifold Dynamics | g_μν Γ^μ Γ^ν = const | g_μν=metric tensor, Γ^μ=circulation pseudovector components | Circulation magnitude invariant under coordinate transformations on n-manifold; provides geometric constraint for Magnus-FAMM coupling | manifold_dynamics/circulation_metric.md | Pending | ✅ | 2485,2490 | LAYER_D_INVARIANTS | state_bind |
| 2477 | 2488 | FAMM_Magnus_Reduction | N-Space Dynamics | Φ_eff = Φ_μν - α·(F_M^μ F_M_ν)/g_μν | Φ_eff=effective frustration, α=reduction coefficient, F_M=Magnus force, g=metric | Magnus force reduces effective frustration tensor when aligned with circulation; enables assembly at lower magnetic field in n-dimensional flow | n_space/famm_magnus_reduction.md | Pending | ✅ | 2487,2488,2491 | LAYER_G_ENERGY | thermodynamic_bind |
| 2478 | 2489 | N_Space_Flow_Circulation | Manifold Dynamics | Γ^μ = ε^{μν₁...ν_{n-1}} ∂_ν₁ v_{ν₂} ... ∇_ν_{n-1} v_n | Γ=circulation pseudovector, ε=Levi-Civita tensor, v=velocity, ∇=covariant derivative | Circulation generated by velocity gradients in n-dimensional flow; generalizes vorticity to n-space for Magnus effect calculation | manifold_dynamics/n_space_flow_circulation.md | Pending | ✅ | 2485,2490 | LAYER_C_TOPOLOGY | geometric_bind |
| 2479 | 2492→2490 | Manifold_Bernoulli_Equation | Manifold Dynamics | P + ½ρ g_μν v^μ v^ν + ρΦ = const (along streamlines) | P=pressure scalar field, ρ=density, g_μν=metric tensor, v^μ=velocity vector field, Φ=potential scalar field | Bernoulli principle generalized to n-dimensional manifold: kinetic energy via metric contraction, potential as scalar field on manifold, conserved along integral curves of velocity field | manifold_dynamics/manifold_bernoulli.md | Pending | ✅ | 2488,2493,2468 | LAYER_G_ENERGY | thermodynamic_bind |
| 2480 | 2493→2491 | Manifold_Viscous_Stress_Tensor | Manifold Dynamics | τ_μν = μ(∇_μ v_ν + ∇_ν v_μ - (2/3)g_μν ∇·v) + λ g_μν ∇·v | τ_μν=viscous stress tensor (rank-2), μ=shear viscosity, λ=bulk viscosity, ∇=covariant derivative, g_μν=metric, v=velocity | Newtonian viscosity generalized to n-manifold: stress tensor proportional to symmetric velocity gradient with covariant derivatives; includes bulk viscosity term for compressibility | manifold_dynamics/viscous_stress_tensor.md | Pending | ✅ | 2492,2494,2500 | LAYER_C_TOPOLOGY | physical_bind |
| 2481 | 2494→2492 | Manifold_Strain_Rate_Tensor | Manifold Dynamics | e_μν = ½(∇_μ v_ν + ∇_ν v_μ) | e_μν=strain rate tensor (rank-2), ∇=covariant derivative, v=velocity | Symmetric velocity gradient tensor on manifold; measures local deformation rate using covariant derivatives instead of partial derivatives | manifold_dynamics/strain_rate_tensor.md | Pending | ✅ | 2493,2495,2496 | LAYER_C_TOPOLOGY | geometric_bind |
| 2482 | 2495→2493 | Manifold_Navier_Stokes | Manifold Dynamics | ρ(∂_t v^μ + v^ν ∇_ν v^μ) = -g^μν ∂_ν P + ∇_ν τ^μν + ρ f^μ | ρ=density, v=velocity, ∇=covariant derivative, g^μν=inverse metric, P=pressure, τ=viscous stress tensor, f=external force | Navier-Stokes equation on n-manifold: material derivative with covariant transport, viscous stress tensor, and external forces; reduces to classical NS in Cartesian coordinates | manifold_dynamics/manifold_navier_stokes.md | Pending | ✅ | 2493,2496,2466 | LAYER_C_TOPOLOGY | physical_bind |
| 2483 | 2496→2494 | Manifold_Viscous_Dissipation | Manifold Dynamics | Φ_viscous = τ_μν e^μν = μ e_μν e^μν + λ (∇·v)² | Φ_viscous=dissipation rate, τ=stress tensor, e=strain rate, μ=shear viscosity, λ=bulk viscosity | Viscous energy dissipation on manifold via contraction of stress and strain rate tensors; quantifies irreversible energy loss to heat in n-dimensional flow | manifold_dynamics/viscous_dissipation.md | Pending | ✅ | 2493,2497 | LAYER_G_ENERGY | thermodynamic_bind |
| 2484 | 2497→2495 | Manifold_Reynolds_Number | Manifold Dynamics | Re = ρ g_μν v^μ v^ν L / μ | Re=Reynolds number, ρ=density, g_μν=metric, v=velocity, L=characteristic length, μ=viscosity | Reynolds number generalized to manifold using metric contraction for kinetic energy; characterizes flow regime (laminar vs turbulent) on curved geometries | manifold_dynamics/manifold_reynolds.md | Pending | ✅ | 2494,2498,2473 | LAYER_C_TOPOLOGY | physical_bind |
| 2485 | 2498→2496 | Manifold_Boundary_Layer | Manifold Dynamics | δ ≈ √(ν x / g_μν v^μ v^ν) | δ=boundary layer thickness, ν=kinematic viscosity, x=distance, g_μν=metric, v=velocity | Boundary layer thickness on manifold: viscous effects scale with metric-contracted velocity; generalizes flat-plate Blasius solution to curved surfaces | manifold_dynamics/manifold_boundary_layer.md | Pending | ✅ | 2495,2499,2471 | LAYER_C_TOPOLOGY | physical_bind |
| 2486 | 2499→2497 | Manifold_No_Slip_Condition | Manifold Dynamics | v^μ|_∂Ω = 0 at boundary ∂Ω | v^μ=velocity field, ∂Ω=manifold boundary | No-slip boundary condition generalized: velocity vanishes on manifold boundary in all directions; essential for viscous flow on curved surfaces with boundaries | manifold_dynamics/manifold_no_slip.md | Pending | ✅ | 2496,2500 | LAYER_C_TOPOLOGY | physical_bind |
| 2487 | 2500→2498 | Manifold_Viscosity_Tensor | Manifold Dynamics | η_μνρσ = μ (g_μρ g_νσ + g_μσ g_νρ - (2/3) g_μν g_ρσ) + λ g_μν g_ρσ | η_μνρσ=fourth-rank viscosity tensor, μ=shear viscosity, λ=bulk viscosity, g_μν=metric | Anisotropic viscosity as fourth-rank tensor on manifold; generalizes isotropic Newtonian viscosity to curved geometries where viscosity may vary with direction | manifold_dynamics/viscosity_tensor.md | Pending | ✅ | 2497,2501 | LAYER_C_TOPOLOGY | physical_bind |
| 2488 | 2501→2499 | Manifold_Stokes_Flow | Manifold Dynamics | ∇_ν τ^μν + g^μν ∂_ν P = 0 (low Re limit) | ∇=covariant derivative, τ=viscous stress tensor, g^μν=inverse metric, P=pressure | Stokes flow (creeping flow) on manifold: viscous forces dominate inertial forces; pressure and viscous stress balance via covariant derivatives for low Reynolds number flow | manifold_dynamics/manifold_stokes_flow.md | Pending | ✅ | 2498,2502,2470 | LAYER_C_TOPOLOGY | physical_bind |
| 2489 | 2502→2500 | Manifold_Poiseuille_Flow_Rate | Manifold Dynamics | Q = (π R⁴ ΔP) / (8 μ L_g) · (1 + κ R²) | Q=volumetric flow rate, R=channel radius, ΔP=pressure drop, μ=viscosity, L_g=geodesic length, κ=curvature correction | Poiseuille flow rate on curved manifold: Hagen-Poiseuille law with geodesic length and curvature correction for non-Euclidean channel geometry | manifold_dynamics/manifold_poisuelle_flow.md | Pending | ✅ | 2494,2503,2469 | LAYER_C_TOPOLOGY | physical_bind |
| 2490 | 2503→2501 | Manifold_Parabolic_Profile_Curved | Manifold Dynamics | v(r) = v_max [1 - (r/R)²] · (1 - κ r²/6) | v(r)=velocity at radius r, v_max=centerline velocity, R=channel radius, κ=curvature | Parabolic velocity profile on curved manifold: modified by curvature term that reduces velocity near walls in curved channels | manifold_dynamics/curved_velocity_profile.md | Pending | ✅ | 2502,2504 | LAYER_C_TOPOLOGY | physical_bind |
| 2491 | 2504→2502 | Manifold_Pressure_Drop_Curved | Manifold Dynamics | ΔP = (8 μ L_g Q) / (π R⁴) · (1 + κ R²) | ΔP=pressure drop, μ=viscosity, L_g=geodesic length, Q=flow rate, R=radius, κ=curvature | Pressure drop along curved channel: increased resistance due to curvature; geodesic length replaces Euclidean length | manifold_dynamics/curved_pressure_drop.md | Pending | ✅ | 2502,2505 | LAYER_G_ENERGY | thermodynamic_bind |
| 2492 | 2505→2503 | Manifold_Shear_Stress_Poiseuille | Manifold Dynamics | τ_w = (R ΔP) / (2 L_g) · (1 + κ R²/2) | τ_w=wall shear stress, R=radius, ΔP=pressure drop, L_g=geodesic length, κ=curvature | Wall shear stress in curved Poiseuille flow: curvature increases stress at channel walls | manifold_dynamics/curved_shear_stress.md | Pending | ✅ | 2503,2506 | LAYER_C_TOPOLOGY | physical_bind |
| 2493 | 2506→2504 | Manifold_Hydraulic_Resistance | Manifold Dynamics | R_h = (8 μ L_g) / (π R⁴) · (1 + κ R²) | R_h=hydraulic resistance, μ=viscosity, L_g=geodesic length, R=radius, κ=curvature | Hydraulic resistance on manifold: geometric factor includes curvature correction for non-straight channels | manifold_dynamics/manifold_hydraulic_resistance.md | Pending | ✅ | 2504,2507 | LAYER_G_ENERGY | thermodynamic_bind |
| 2494 | 2507→2505 | Manifold_Friction_Factor_Poiseuille | Manifold Dynamics | f = 64/Re · (1 + κ R²/4) | f=friction factor, Re=Reynolds number, κ=curvature, R=radius | Friction factor for laminar flow in curved channels: curvature increases effective friction beyond classical 64/Re | manifold_dynamics/curved_friction_factor.md | Pending | ✅ | 2505,2508 | LAYER_C_TOPOLOGY | physical_bind |
| 2495 | 2511→2509 | Manifold_Poiseuille_Entrance_Length | Manifold Dynamics | L_e = 0.06 Re D · (1 + κ D) | L_e=entrance length, Re=Reynolds number, D=diameter, κ=curvature | Entrance length for fully developed Poiseuille flow on manifold: curvature extends development length in curved channels | manifold_dynamics/manifold_entrance_length.md | Pending | ✅ | 2509,2512 | LAYER_C_TOPOLOGY | physical_bind |
| 2496 | 2610 | Acoustic_Impedance | Acoustic | Z = |∇f| = √(Σ(∂f/∂xᵢ)²) | Z=acoustic impedance, ∇f=gradient vector, xᵢ=coordinates | Acoustic impedance as gradient magnitude; high-gradient regions cause reflection/refraction; metric tensor on acoustic manifold | tools/lean/Semantics/Semantics/MorphicDSP.lean | Lean | ✅ | 2609 | LAYER_C_TOPOLOGY | geometric_bind |
| 2497 | 2611 | Acoustic_Geodesic | Acoustic | γ(t) = argmin ∫|∇f(γ(t))|dt | γ(t)=geodesic path, ∇f=gradient field, t=parameter | Geodesic flow following gradient descent on acoustic manifold; sound rays as gradient trajectories | tools/lean/Semantics/Semantics/MorphicDSP.lean | Lean | ✅ | 2609 | LAYER_C_TOPOLOGY | geometric_bind |
| 2498 | 2612 | Acoustic_Resonance | Acoustic | ωₙ ∝ ⟨|∇f|⟩ | ωₙ=resonant frequency, ⟨|∇f|⟩=average gradient magnitude | Resonance eigenmode prediction via Laplacian eigenvalue approximation; standing waves as eigenfunctions on manifold | tools/lean/Semantics/Semantics/MorphicDSP.lean | Lean | ✅ | 2609 | LAYER_C_TOPOLOGY | geometric_bind |
| 2499 | 2613 | Gradient_Interference | Acoustic | ∇f_total = ∇f₁ + ∇f₂ | ∇f_total=combined gradient, ∇f₁,∇f₂=individual gradients | Interference pattern via gradient field superposition; constructive/destructive interference as gradient alignment/misalignment | tools/lean/Semantics/Semantics/MorphicDSP.lean | Lean | ✅ | 2609 | LAYER_C_TOPOLOGY | geometric_bind |
| 2500 | 2614 | Acoustic_Shannon_Entropy | Acoustic | H₁ = -Σ p_b log₂ p_b (over |∇f|) | H₁=Shannon entropy, p_b=gradient magnitude probability | Acoustic Shannon entropy over gradient magnitudes; measures disorder in acoustic gradient field | tools/lean/Semantics/Semantics/EntropyMeasures.lean | Lean | ✅ | 2609 | LAYER_A_COMPRESSION | informational_bind |
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