# Model_Name Family Equation Variables Purpose Location Implemented Status Cross_Refs Domain_Type Bind_Class 0 UQGET_Hubble_Tension Quantum Geometry H0 = 73.3 ± 1.5 km s⁻¹ Mpc⁻¹ (68% CL) H0=Hubble constant, Mpc=megaparsec Unified Quantum-Geometric Emergence Theory - resolves Hubble tension via spacetime emergence from quantum entanglement dynamics. Aligns with Planck 2018, DESI 2024, Pantheon+ datasets. https://www.academia.edu/128148840/Unified_Quantum_Geometric_Emergence_Theory_Entanglement_Driven_Spacetime_Revised_Version Documented ✅ LAYER_G_ENERGY geometric_bind 1 UQGET_Structure_Tension Quantum Geometry S8 = 0.810 ± 0.008 S8=structure formation parameter (σ8·Ωm^0.5) UQGET resolves structure formation tension through non-equilibrium quantum physics and multi-field models. https://www.academia.edu/128148840/Unified_Quantum_Geometric_Emergence_Theory_Entanglement_Driven_Spacetime_Revised_Version Documented ✅ LAYER_G_ENERGY geometric_bind 2 UQGET_Statistical_Fit Quantum Geometry χ²/d.o.f. = 1907.2/1949 (p = 0.78) χ²=chi-squared statistic, d.o.f.=degrees of freedom, p=p-value MCMC analysis demonstrates statistical robustness with p = 0.78 indicating good fit to observational data. https://www.academia.edu/128148840/Unified_Quantum_Geometric_Emergence_Theory_Entanglement_Driven_Spacetime_Revised_Version Documented ✅ LAYER_G_ENERGY geometric_bind 3 LASSO_MOGAT_GAT_Propagation Machine Learning h_i^(l+1) = σ(Σ_{j∈N(i)} α_ij^(l) W^(l) h_j^(l)) h_i^(l)=node representation, N(i)=neighborhood, α_ij^(l)=attention coefficient, W^(l)=weight matrix, σ=activation Graph Attention Network propagation for multi-omics cancer classification using PPI networks. https://www.academia.edu/2837-4010/2/3/10.20935/AcadBiol7325 Documented ✅ LAYER_H_ALGEBRA informational_bind 4 LASSO_MOGAT_Attention_Coefficient Machine Learning α_ij^(l) = softmax_j(LeakyReLU(a→^(l)^T [W^(l) h_i^(l) || W^(l) h_j^(l)])) ||=concatenation, a→^(l)=weight vector, LeakyReLU=activation Attention coefficient computation for graph edges using softmax over neighbors. https://www.academia.edu/2837-4010/2/3/10.20935/AcadBiol7325 Documented ✅ LAYER_H_ALGEBRA informational_bind 5 Multiphasic_Allometry_LogLog_Scaling Biology Y = b·X + a (log-log space) Y=log(metabolic rate), X=log(body mass), b=scaling exponent, a=intercept Log-log regression for metabolic rate scaling with body mass across developmental stages. Different scaling exponents (b) indicate multiphasic ontogenetic allometry. https://www.academia.edu/2837-4010/2/4/10.20935/AcadBiol7411 Documented ✅ LAYER_G_ENERGY thermodynamic_bind 6 Multiphasic_Allometry_Quadratic Biology Y = a·X² + b·X + c (curvilinear) Y=log(metabolic rate), X=log(body mass), a,b,c=regression coefficients Quadratic regression for detecting nonlinear metabolic scaling. First derivative dY/dX = 2aX + b gives instantaneous slope. https://www.academia.edu/2837-4010/2/4/10.20935/AcadBiol7411 Documented ✅ LAYER_G_ENERGY thermodynamic_bind 7 Multiphasic_Allometry_Instantaneous_Slope Biology dY/dX = 2aX + b (where Y = aX² + bX + c) X=log(body mass), a,b=quadratic coefficients First derivative of quadratic regression gives instantaneous scaling slope at any body size. Used to detect ontogenetic shifts in metabolic scaling. https://www.academia.edu/2837-4010/2/4/10.20935/AcadBiol7411 Documented ✅ LAYER_G_ENERGY thermodynamic_bind 8 Affine_Mapping_LTSF_Linear_Layer Time Series Y = X·W + b X=input historical time series, Y=prediction, W=transition matrix (R^n×m), b=bias (R^1×m) Single linear layer (affine transformation) for long-term time series forecasting. Dominates forecasting performance on periodic signals. https://www.academia.edu/3071-0286/2/2/10.20935/AcadAI8236 Documented ✅ LAYER_H_ALGEBRA informational_bind 9 Affine_Mapping_Time_Series_Decomposition Time Series x(t) = s(t) + f(t) + ε s(t)=seasonality, f(t)=trend, ε=noise Time series decomposition into seasonal and trend components. Basis for understanding why affine mapping works well on periodic data. https://www.academia.edu/3071-0286/2/2/10.20935/AcadAI8236 Documented ✅ LAYER_H_ALGEBRA informational_bind 10 Affine_Mapping_Periodic_Theorem Time Series x(t) = s(t) = s(t-p) where p ≤ n p=period, n=input length, t=time index For seasonal time series with period p, affine mapping has analytical solution when input length ≥ period. Explains competitive performance on seasonal benchmarks. https://www.academia.edu/3071-0286/2/2/10.20935/AcadAI8236 Documented ✅ LAYER_H_ALGEBRA informational_bind 11 Affine_Mapping_Scaled_Periodic Time Series x(t) = a·x(t-p) + c a=scaling factor, c=translation factor Extended periodic model with scaling and translation. Still has closed-form solution for affine mapping. Handles amplitude-modulated periodic signals. https://www.academia.edu/3071-0286/2/2/10.20935/AcadAI8236 Documented ✅ LAYER_H_ALGEBRA informational_bind 12 MOF_CO2_Reduction_2e_Electrochemistry Chemistry CO2 + 2H+ + 2e- → CO + H2O E=applied potential, n=2 electrons 2-electron CO2 reduction to carbon monoxide. Primary product in electrocatalysis with Cu-based catalysts. https://www.academia.edu/2998-3665/2/1/10.20935/AcadEnergy7604 Documented ✅ LAYER_G_ENERGY thermodynamic_bind 13 MOF_CO2_Reduction_Formic_Acid Chemistry CO2 + 2H+ + 2e- → HCOOH E=applied potential, n=2 electrons 2-electron CO2 reduction to formic acid. Major product in electrocatalysis, especially with Zr-MOF catalysts. https://www.academia.edu/2998-3665/2/1/10.20935/AcadEnergy7604 Documented ✅ LAYER_G_ENERGY thermodynamic_bind 14 MOF_CO2_Reduction_6e_Methanol Chemistry CO2 + 6H+ + 6e- → CH3OH + H2O E=applied potential, n=6 electrons 6-electron CO2 reduction to methanol. Highest methanol rate achieved by Au10@ZIF-67 in photocatalysis. https://www.academia.edu/2998-3665/2/1/10.20935/AcadEnergy7604 Documented ✅ LAYER_G_ENERGY thermodynamic_bind 15 MOF_CO2_Reduction_8e_Methane Chemistry CO2 + 8H+ + 8e- → CH4 + 2H2O E=applied potential, n=8 electrons 8-electron CO2 reduction to methane. Highest methane rate achieved by MIL-101(Cr)-Ag in photocatalysis. https://www.academia.edu/2998-3665/2/1/10.20935/AcadEnergy7604 Documented ✅ LAYER_G_ENERGY thermodynamic_bind 16 COUCH_Equation Chaotic Dynamics ẍ_i + γẋ_i + ω_i²x_i + Σ_j κ_ij(x_i - x_j) = F(t) γ=damping, ω_i=natural frequency, κ_ij=coupling strength, F(t)=forcing function Coupled Oscillator for Universal Chaotic Hysteresis - models non-linear coupled oscillator systems exhibiting chaotic "super freak" behavior and path-dependent hysteresis loops. Phase space trajectories exhibit strange attractors. docs/geometry/COUCH_EQUATION.md Documented ✅ LAYER_E_VERIFICATION thermodynamic_bind 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 2 NES_GCL_Square_Wave_Compression DeltaGCL C_ratio = U_size / C_size = 1.48× (achieved) U_size = 4N bytes (N frames), C_size = Σ(δ+P+F) Compress NES square wave parameters (25 bits/frame) using delta encoding, PTOS dictionary patterns, variable-length GCL for cartridge streaming scripts/nes_gcl_square_stream.py Python ✅ LAYER_I_ENCODING informational_bind 3 NES_OISC_GCL_LUT_Architecture OISC JTAG→SUBLEQ→GCL→LUT→APU TCK=CLK, TMS=OUT, TDI=IN, TDO=bitbang, SUBLEQ: M[b]=M[b]-M[a]; if M[b]≤0 goto c NES controller port JTAG bitbanging controls SUBLEQ OISC for GCL decompression into LUT, NES 6502 reads LUT for square wave generation. Maximum retro insanity: 1985 NES + 1990s JTAG + minimalist OISC + nanokernel GCL scripts/nes_oisc_gcl_lut.py, scripts/nes_controller_jtag_bitbang.py Python/6502/SUBLEQ ✅ LAYER_I_ENCODING informational_bind 4 Unified_Shader_GCL_Audio_Stack MinimalOISC Shader(x,y,t,θ)→palette + GCL→LUT + SUBLEQ→compute SUBLEQ: M[b]=M[b]-M[a]; if M[b]≤0 goto c, Shader: f(x,y,t,θ)=color, GCL: Δ+PTOS+VLE Unified computational stack collapsing blitter, GCL compression, and square wave generator into minimal OISC with NES palette generator as proto-shader. 64K unified memory: shader params, palette LUT, GCL buffer, audio LUT, SUBLEQ code, I/O. Proto-shader acts as fragment shader for color generation. scripts/unified_shader_gcl_audio_stack.py Python ✅ LAYER_I_ENCODING informational_bind 5 Unified_Cartridge_Controller_Stack CartridgeOISC Cartridge_SUBLEQ→GCL→Shader→Audio→ControllerPort→NES SUBLEQ: M[b]=M[b]-M[a]; if M[b]≤0 goto c, VoltageShifter: V_cartridge↔V_NES, ControllerPort: CLK/OUT/IN bidirectional Unified cartridge CPU (SUBLEQ) + GCL compression + proto-shader + square wave generation streaming to NES via controller port with voltage level shifting (3.3V ↔ 5V). Cartridge handles all computation, NES is I/O terminal. Controller port bidirectional communication with voltage shifter for level conversion. scripts/unified_cartridge_controller_stack.py, scripts/nes_controller_port_reader.asm Python/6502/SUBLEQ ✅ LAYER_I_ENCODING informational_bind 6 Topological_NanoKernel_UART_Stack NanoKernel 1-Wire_UART→GCL_Admission→Entropy→Metaprobe→Triumvirate→NES UART: start+8+stop bits, GCL: H(data)≥threshold, Metaprobe: resonance_score, Triumvirate: B/W/J consensus Topological nano kernel protecting cartridge-NES 1-wire UART communication. GCL admission gate validates signatures and entropy, metaprobe audit checks Lawful signal resonance, Triumvirate (Builder-Judge-Warden) provides consensus. Only lawful, validated data reaches NES APU. 9600 baud single data line with voltage shifter (3.3V ↔ 5V). scripts/nanokernel_cartridge_uart_stack.py Python ✅ LAYER_I_ENCODING informational_bind 7 NES_Sound_Line_DSP_Math AnalogDSP Value↔AudioSignal(f,A,D) + APU_Operations→Result Encode: v→f·A·sign, Decode: f·A·sign→v, APU: mix=add, mod=mul, phase=sub, envelope=∫, sweep=d/dx Hijack NES audio output lines (square, triangle, noise, DPCM) for DSP mathematical operations. Encode values as audio signals (frequency=magnitude, amplitude=precision, duty=sign). Use APU mixing/filtering/modulation as computational operations (addition=mix, multiplication=AM, subtraction=phase inversion, integration=envelope, differentiation=sweep). Analog computation disguised as audio output. Horrific: repurposes audio hardware for general computation. Wonderful: novel analog-digital hybrid computing on retro hardware. scripts/nes_sound_line_dsp_math.py Python ✅ LAYER_K_SIGNAL informational_bind 8 Unified_Metaprobe_Collapse Metaprobe All_Systems→Single_Metaprobe→Unified_Audit Resonance: R(data,channel), Coherence: C(data), Entropy: H(data), Lawful: R≥θ ∧ C≥θ Collapses metaprobe functionality across all NES systems (GCL compression, OISC LUT, shader stack, cartridge controller, nanokernel UART, DSP math) into single unified metaprobe engine. Channel-specific resonance checking (UART frames, JTAG TAP states, audio signals, GCL markers, SUBLEQ instructions, nanokernel patterns). Unified structural coherence validation and entropy evaluation. Cross-system state tracking and unified audit trail. Single substrate for Lawful signal resonance across entire NES architecture. scripts/unified_metaprobe_collapse.py Python ✅ LAYER_I_ENCODING informational_bind 9 Final_Unified_Math_Collapse UnifiedMath All_Math→Single_Substrate→Unified_Computation ΔGCL+PTOS+VLE+Load+Physics+Geometry→R+C+H+M→Unified Final collapse of all mathematical substrate into single unified metaprobe. Folds DeltaGCL diff enhancements (delta encoding, PTOS dictionary, VLE), cognitive load math (Intrinsic, Extraneous, Germane, Routing, Memory, Total, Efficiency), pressure piling physics (KDA equation P(i)=P₀·χ^i), PIST geometry (Perfectly Imperfect Square Theory), and all NES systems into one unified computational substrate. 18 total channels with channel-specific resonance checking, structural coherence, entropy evaluation, and math-specific scoring. NES systems + Math models = Unified computational stack. Maximum retro insanity: 1985 NES + nanokernel + DSP + all math in one substrate. scripts/final_unified_math_collapse.py Python ✅ LAYER_I_ENCODING informational_bind 10 Voltage_Computational_Substrate VoltageMath Voltage→Value + Operations→Result Val→Val/scale, V_sum=V1+V2, V_mul=(V1/V_ref)·(V2/V_ref)·V_ref, V_exp=exp(V/V_ref)·V_ref Physical voltage levels as computational substrate. Voltage magnitude = numerical value. Voltage sum = addition. Voltage ratio = multiplication/division. Voltage difference = subtraction. Voltage gradient = derivative. Voltage integral = integration. Voltage-aware nanokernel validates voltage safety and resonance. Zero instruction overhead - physics does the math. Horrific: physical substrate becomes computer. Wonderful: parallel computation at speed of light. Maximum retro insanity: voltage = math. scripts/voltage_computational_substrate.py Python ✅ LAYER_K_SIGNAL informational_bind 11 Palette_DSP_Slave VideoSynth DSP_Math→Palette_Parameters→Video_Palette f→x (red), A→y (green), D→t (blue), DSP_ops→modulation NES palette generator slaved to DSP math on audio lines. Audio signals (frequency, amplitude, duty cycle) map to palette generator parameters (x, y, t). DSP operations (add, multiply, integrate, differentiate) modulate palette before generation. Audio math controls video palette in real-time. Video synthesizer controlled by audio computation. Cross-domain repurposing (audio → video). Horrific: audio DSP math controls video palette. Wonderful: generative visuals from DSP operations. Maximum retro insanity: audio math = video palette. scripts/palette_dsp_slave.py Python ✅ LAYER_K_SIGNAL informational_bind 12 Quad_Sampled_Scanlines TemporalSuperSample 4×_Vertical→256×960 Offsets: 0.0,0.25,0.5,0.75, DSP_interp→bicubic, Voltage→timing Quad-sample each scanline 4 times with subpixel offsets. DSP math interpolates between samples. Voltage levels control sampling timing. Effective resolution: 256×240 physical → 256×960 perceived (4x vertical). Temporal supersampling without hardware modification. Bicubic interpolation between subpixel samples. Horrific: 4x temporal supersampling on 1x hardware. Wonderful: effective 4x vertical resolution increase. Maximum retro insanity: quad sampling = 4x resolution. scripts/quad_sampled_scanlines.py Python ✅ LAYER_K_SIGNAL informational_bind 13 Microgrid_Voxel_Emulation VirtualDisplay Microgrid→640×480+Differential_Updates→Effective_640×480 NES:256×240→MG:640×480, Scale:2.5×2, Voxel:Δ_color, DSP:priority, Voltage:threshold 640×480 voxel microgrid emulates higher resolution display. NES renders at 256×240 native. Map NES pixels to microgrid voxels (2.5×2 scaling). Only update voxels that change (differential updates). DSP math calculates change priority. Voltage computation controls update threshold. Update efficiency: ~50% (only changed voxels). Effective 640×480 resolution without changing NES PPU. Virtual display on 1× hardware. Modern GPU-like differential updates on retro hardware. Horrific: virtual 640×480 on 256×240 hardware. Wonderful: differential voxel updates for efficiency. Maximum retro insanity: microgrid = virtual display.scripts/microgrid_voxel_emulation.py Python ✅ LAYER_K_SIGNAL informational_bind 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 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 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 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 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 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 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 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 10 MoE_Predictor_Distribution Cognitive Load P_w(x_i|x_{ 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 16 Coupling_Weight w_ij GWL Rotation w_ij = g(Δθ,Δφ,χ_i,χ_j) · h(Δp) θ=azimuthal(16), φ=polar(8), χ=chirality, Δp=position delta Mu-seed geometric compatibility strength docs/gwl/GWL_ROTATIONAL_COUPLING_AND_LOCAL_INTERACTION_LAW_V1.md Rust ✅ LAYER_C_TOPOLOGY geometric_bind unknown 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 Spatial_Proximity GWL Rotation h = exp(-|Δp|²/(2σ²)) · 1_{|Δp|> 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Waveprobe_Mode_Hysteresis Waveprobe Control locked→caution if riskε AND |secondDeriv|<δ sustained N windows ε=0.001, δ=0.0001, sustainedWindows=10, entropyFloor=0.5 Detect optimization plateau to trigger emergence phase core/lean/geoweird/EmergenceSystem.lean Lean ✅ LAYER_F_CONTROL control_bind control_bind 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 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 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 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 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 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 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 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 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 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 104 UnitConversion Unit Conversion km = miles × 1.60934; fib_km = F(n+1) where F(n)=Fibonacci; φ≈1.618034 (golden ratio) miles, km, feet, meters, yards, inches, centimeters, millimeters; ratio=conversion factor, fib=Fibonacci number, φ=golden ratio Metric/imperial unit conversions with Fibonacci-based approximation using golden ratio coincidence (φ≈1.618 within 0.6% of 1.609 miles/km conversion); safety-critical to prevent Mars Climate Orbiter-class unit mismatch errors ($193M loss, 1999) tools/lean/Semantics/Semantics/UnitConversion.lean Lean ✅ LAYER_A_COMPRESSION geometric_bind 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 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 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 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 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 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 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 109 Alcubierre_Null_Geodesics Virtual Alcubierre dH/dτ = β ± 1; superluminal when β>1; collapse when φ ≥ 1 - κ_critical/v_local κ=thermodynamic load, bandwidth, τ_coherence Event horizon collapse condition regulating search acceleration docs/geometry/Virtual_Alcubierre_Information_Metric_Proof.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind geometric_bind 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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: value5.0→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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 184 Fick's Law Thermodynamics $J = -D \nabla \phi$ Laplace-Beltrami diffusion operator docs/MATH_MODEL_MAP.md Documented ✅ LAYER_G_ENERGY thermodynamic_bind 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 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 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 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 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 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 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 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 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 194 Neutral Theory (Kimura) Evolutionary Dynamics $k = v$ Genomic drift baseline law docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 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 196 Wolff's Law Equilibrium Biomechanics $[T, H] = 0$ Biomechanical structural optimization docs/MATH_MODEL_MAP.md Documented ✅ LAYER_L_APPLICATION physical_bind 197 Onsager Reciprocity Thermodynamics $L_{ij} = L_{ji}$ Coupled transport symmetry law docs/MATH_MODEL_MAP.md Documented ✅ LAYER_G_ENERGY thermodynamic_bind 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 199 Flux Balance (FBA) Metabolism $S \cdot v = 0$ Metabolic steady-state constraint docs/MATH_MODEL_MAP.md Documented ✅ LAYER_G_ENERGY thermodynamic_bind 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 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 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 203 May's Stability Ecology $s \sqrt{nC} < 1$ Ecosystem diversity-stability constraint docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 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 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 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 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 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 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 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 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 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 213 Exciton Transfer Quantum Biology $H = \sum \epsilon m\rangle\langle m docs/MATH_MODEL_MAP.md Documented ✅ LAYER_G_ENERGY thermodynamic_bind 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 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 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 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 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 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 220 Island Biogeography Ecology $dS/dt = I - E$ Species equilibrium on islands docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 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 222 Hamilton's Rule Evolutionary Dynamics $rB > C$ Kin selection altruism identity docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 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 224 Starling's Law Physiology $SV \propto EDV$ Cardiac contractility invariant docs/MATH_MODEL_MAP.md Documented ✅ LAYER_L_APPLICATION physical_bind 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 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 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 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 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 230 Circadian Oscillator Neuroscience Van der Pol eq Self-sustained biological rhythms docs/MATH_MODEL_MAP.md Documented ✅ LAYER_F_CONTROL control_bind 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 232 Behavioral Attractor Neuroscience Lorenz system Nonlinear behavioral state flow docs/MATH_MODEL_MAP.md Documented ✅ LAYER_F_CONTROL control_bind 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 234 Cancer Invasion Oncology $T-N-L$ system Gatenby's evolutionary oncology model docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 235 Izhikevich Neuron Neuroscience Hybrid spiking eq Efficient cortical firing dynamics docs/MATH_MODEL_MAP.md Documented ✅ LAYER_F_CONTROL control_bind 236 Kuramoto Synchrony Neuroscience $r = (1/N) \sum e^{i\theta} docs/MATH_MODEL_MAP.md Documented ✅ LAYER_F_CONTROL control_bind 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 238 Integrated Information Neuroscience $\Phi = D_{KL} [ p(X) docs/MATH_MODEL_MAP.md Documented ✅ LAYER_F_CONTROL control_bind 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 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 241 Sonar Ranging Biophysics $R = c \Delta t / 2$ Bio-acoustic distance invariant docs/MATH_MODEL_MAP.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind 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 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 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 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 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 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 248 Osmotic Pressure Biophysics $\Pi = icRT$ Van 't Hoff protocell internal pressure docs/MATH_MODEL_MAP.md Documented ✅ LAYER_L_APPLICATION physical_bind 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 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 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 252 Stevens' Power Law Perception $S = k I^a$ Modality-specific stimulus scaling docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 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 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 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 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 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 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 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 260 MWC Allostery Biophysics $Y = f(\alpha, L, c)$ Concerted symmetry-state transition docs/MATH_MODEL_MAP.md Documented ✅ LAYER_G_ENERGY thermodynamic_bind 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 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 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 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 265 CIELAB Mapping Perception $f(t) = t^{1/3}$ Perceptually uniform color scaling docs/MATH_MODEL_MAP.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind 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 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 268 DNA Linking Num Topology $Lk = Tw + Wr$ Topological constraint on circular DNA docs/MATH_MODEL_MAP.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind 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 270 EQ Index Neuroscience $EQ = E / k S^{2/3}$ Encephalization quotient metric docs/MATH_MODEL_MAP.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind 271 Mendelian Sum Genetics $(p+q)^2 = 1$ Genotypic probability distribution law docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 272 Morgan Linkage Genetics $RF = (Rec/Total) \times 100$ centiMorgan genetic distance law docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 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 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 275 Polygenic CLT Genetics $X = \sum g_i + \epsilon$ Additive trait convergence identity docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 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 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 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 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 280 Second Bio-Law Biophysics $\Delta S_{tot} > 0$ Biological entropy export requirement docs/MATH_MODEL_MAP.md Documented ✅ LAYER_G_ENERGY thermodynamic_bind 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 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 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 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 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 286 Redfield Ratio Biogeochemistry $C:N:P = 106:16:1$ Biogeochemical stoichiometry invariant docs/MATH_MODEL_MAP.md Documented ✅ LAYER_G_ENERGY thermodynamic_bind 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 288 Eco-Connectance Ecology $C = L / S^2$ Food web structural complexity metric docs/MATH_MODEL_MAP.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind 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 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 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 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 293 Survival Limit Demography $P(S) \to 0$ Stretched exponential mortality plateau docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 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 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 296 Bio-Capacity Genetics $C = 1 - H(p)$ Maximum sustainable replication rate docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 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 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 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 300 Bio-Reinforcement Neuroscience $\Delta V = r - V$ Integral RL optimal control update docs/MATH_MODEL_MAP.md Documented ✅ LAYER_F_CONTROL control_bind 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 302 Limit Cycle Thm Dynamical Systems Poincaré-Bendixson Rhythmic robustness necessity law docs/MATH_MODEL_MAP.md Documented ✅ LAYER_F_CONTROL control_bind 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 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 305 CMC Threshold Biophysics $C > CMC$ Micelle formation phase transition docs/MATH_MODEL_MAP.md Documented ✅ LAYER_G_ENERGY thermodynamic_bind 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 307 Hawk-Dove ESS Evolutionary Biology $p = V/C$ Evolutionary game mixed strategy docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 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 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 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 311 Neutrality Rule Evolutionary Biology $ s docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 312 Adami Complexity Evolutionary Biology $C = L - H$ Genomic information measure docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 313 Regulatory Law Genetics $R \propto N^2$ Quadratic scaling of transcription factors docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 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 315 Remineral Ratio Biogeochemistry $O:C \approx 1.3$ Redfield-Kester remineralization invariant docs/MATH_MODEL_MAP.md Documented ✅ LAYER_G_ENERGY thermodynamic_bind 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 331 Hebb's Law Neuroscience $\Delta w = \eta xy$ Fundamental associative learning rule docs/MATH_MODEL_MAP.md Documented ✅ LAYER_F_CONTROL control_bind 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 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 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 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 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 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 338 Motor Efficiency Biophysics $\eta_{th} = fl / \Delta \mu$ Thermodynamic Brownian ratchet law docs/MATH_MODEL_MAP.md Documented ✅ LAYER_G_ENERGY thermodynamic_bind 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 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 341 Morphogen Scaling Developmental Biology $\lambda \propto L$ Expansion-repression scale invariance docs/MATH_MODEL_MAP.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind 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 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 344 Levinthal Space Biophysics $\Omega = m^n$ Conformational search complexity docs/MATH_MODEL_MAP.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind 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 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 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 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 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 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 351 Action Functional Physics $S = \int L dt$ Cumulative trajectory cost metric docs/MATH_MODEL_MAP.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind 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 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 354 Recovery Rate Ecology $\lambda = -1/\tau$ Speed of return to stable equilibrium docs/MATH_MODEL_MAP.md Documented ✅ LAYER_F_CONTROL control_bind 355 Resilience Basin Ecology $Depth, Width$ Geometrical stability of attractors docs/MATH_MODEL_MAP.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind 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 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 358 WBE Exponent Biophysics $\alpha = 3/4$ Metabolic scaling fractal dimension docs/MATH_MODEL_MAP.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind 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 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 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 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 363 Positional Noise Biophysics $\Delta x \approx (\delta c/c) / \nabla c/c docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 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 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 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 367 Strouhal Number Biomechanics $St = fA / U$ Propulsive efficiency invariant docs/MATH_MODEL_MAP.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind 368 Froude Number Biomechanics $Fr = v^2 / gL$ Terrestrial gait transition invariant docs/MATH_MODEL_MAP.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind 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 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 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 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 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 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 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 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 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 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 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 380 Tonotopic Map Perception $f = A(10^{ax} - K)$ Greenwood frequency-position function docs/MATH_MODEL_MAP.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind 381 Cochlear Amp Biophysics $\dot{z} = (\mu+i\omega)z - z docs/MATH_MODEL_MAP.md Documented ✅ LAYER_L_APPLICATION physical_bind 382 R* Theory Ecology $R^* = Kd / (\mu_{max} - d)$ Resource-ratio competition equilibrium docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 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 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 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 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 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 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 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 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 391 Richness Scaling Ecology $\ln S = -E/kT + C$ MTE biodiversity-temperature law docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 392 FHN Excitability Neuroscience $\dot{v}, \dot{w}$ (FitzHugh) Simplified excitable system law docs/MATH_MODEL_MAP.md Documented ✅ LAYER_F_CONTROL control_bind 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 394 Tissue Stiffness Biomechanics $E \propto \rho^n$ Gibson-Ashby density-stiffness scaling docs/MATH_MODEL_MAP.md Documented ✅ LAYER_L_APPLICATION physical_bind 395 Cytoskeletal F Biomechanics $F = -kx$ Hookean elastic restoring force law docs/MATH_MODEL_MAP.md Documented ✅ LAYER_L_APPLICATION physical_bind 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 397 Golden Angle Botany $\psi \approx 137.5^\circ$ Optimal packing angular invariant docs/MATH_MODEL_MAP.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind 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 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 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 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 403 Peclet Number Fluid Dynamics $Pe = u L / D$ Advective-diffusive transport ratio docs/MATH_MODEL_MAP.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind 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 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 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 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 408 Honest Equilibrium Evolutionary Biology $P^*[A^*(q)] = q$ Perceptual-quality identity law docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 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 410 Cole-Cole Eq Biophysics $\varepsilon^* = \varepsilon_\infty + \dots$ Tissue dielectric relaxation invariant docs/MATH_MODEL_MAP.md Documented ✅ LAYER_L_APPLICATION physical_bind 411 Dispersion Law Physics $\alpha, \beta, \gamma$ regions Frequency-dependent tissue impedance docs/MATH_MODEL_MAP.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind 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 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 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 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 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 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 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 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 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 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 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 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 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 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 426 SMR Priority Neuroscience $SMR = L_{sig} - L_{mask}$ Informational saliency filtering law docs/MATH_MODEL_MAP.md Documented ✅ LAYER_F_CONTROL control_bind 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 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 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 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 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 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 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 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 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 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 437 V-Formation Upwash Aerodynamics $v \propto \Gamma / r$ Aerodynamic vortex-capture law docs/MATH_MODEL_MAP.md Documented ✅ LAYER_L_APPLICATION physical_bind 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 439 Flight Efficiency Aerodynamics $Range \times 1.71$ Collective aerodynamic range extension docs/MATH_MODEL_MAP.md Documented ✅ LAYER_L_APPLICATION physical_bind 440 Reproduction Num Demography $R_0 = \beta / \gamma$ Basic disease transmission invariant docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 441 Herd Immunity Epidemiology $HIT = 1 - 1/R_0$ Contagion resistance threshold law docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 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 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 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 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 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 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 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 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 450 Alveolar Laplace Physiology $P = 2\gamma / r$ Lung stability surface-tension law docs/MATH_MODEL_MAP.md Documented ✅ LAYER_L_APPLICATION physical_bind 451 Ventricular Wall Physiology $\sigma = Pr / 2h$ Cardiac stress-thickness invariant docs/MATH_MODEL_MAP.md Documented ✅ LAYER_L_APPLICATION physical_bind 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 475 SAM Probability Evolutionary Biology $P(i Q) \propto S(Q, i)$ docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 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 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 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 479 Useful Work Thermodynamics $W_{actual} = W_{max} - I$ Thermodynamic metabolic efficiency law docs/MATH_MODEL_MAP.md Documented ✅ LAYER_G_ENERGY thermodynamic_bind 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 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 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 483 Species-Area Law Ecology $S = c A^z$ Arrhenius richness scaling invariant docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 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 485 Reciprocal Yield Agriculture $1/w = a + bd$ Shinozaki-Kira biomass saturation law docs/MATH_MODEL_MAP.md Documented ✅ LAYER_G_ENERGY thermodynamic_bind 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 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 488 Inward Rectifier Biophysics $g_{K1} = f(V)$ Noble voltage-dependent K-conductance docs/MATH_MODEL_MAP.md Documented ✅ LAYER_L_APPLICATION physical_bind 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 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 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 492 Synaptic Invariant Neuroscience $Syn / Pair \approx 1$ Sparse connectivity discriminatory rule docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 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 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 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 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 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 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 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 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 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 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 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 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 505 SBT Drift Evolutionary Biology $4N_e s < 1$ Shifting balance exploratory condition docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 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 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 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 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 510 Mass Action Law Chemistry $Rate = k [A] [B]$ Fundamental biological kinetic law docs/MATH_MODEL_MAP.md Documented ✅ LAYER_G_ENERGY thermodynamic_bind 511 Equilibrium Invariant Thermodynamics $K_{eq} = [P]/[R]$ Thermodynamic steady-state identity docs/MATH_MODEL_MAP.md Documented ✅ LAYER_G_ENERGY thermodynamic_bind 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 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 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 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 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 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 518 Fisher FGM Potential Evolutionary Biology $w(z) \propto e^{- z docs/MATH_MODEL_MAP.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind 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 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 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 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 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 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 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 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 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 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 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 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 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 532 Effective Info Information Theory $C = G(1-R)$ Redundancy-weighted genomic complexity docs/MATH_MODEL_MAP.md Documented ✅ LAYER_A_COMPRESSION informational_bind 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 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 535 Metabolic Scope Metabolism $PAL = TEE / BMR$ Sustainable energy throughput invariant docs/MATH_MODEL_MAP.md Documented ✅ LAYER_G_ENERGY thermodynamic_bind 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 553 Trophic Kinetic Ecology $K = P/B$ Biomass transfer velocity invariant docs/MATH_MODEL_MAP.md Documented ✅ LAYER_F_CONTROL control_bind 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 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 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 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 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 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 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 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 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 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 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 566 Normal_Network_Limit_Theorem Manifold Networking κ=0 ∧ τ=0 ∧ paths=1 ∧ phase=sequential → ordinary_kernel_networking κ=curvature, τ=torsion, paths=1, phase=sequential Manifold networking reduces to ordinary kernel-style networking when manifold becomes flat tools/lean/Semantics/Semantics/ManifoldNetworking.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 592 PIST_State_RejectWithPenalty PIST friction_{t+1} = friction_t + penalty, log += rejection entry friction=loss register, penalty=nonnegative Register rejection and increase friction tools/lean/Semantics/Semantics/PIST.lean Lean ✅ LAYER_F_CONTROL LAYER_F_CONTROL control_bind 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 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 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 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 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 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 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 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 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 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 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 604 PIST_Model131_VectorField PIST F(a,b,ε) = (1+ε(0.5b+0.3), -1+ε(0.5a-0.3)) a=distance to lower square, b=distance to upper, ε=degeneracy PIST Model 131 ODE vector field for discrete Picard integral tools/lean/Semantics/Semantics/PistBridge.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 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 606 PIST_SISS_Manifold PIST g_μν(x) = Σ g_i·1_{S_i}(x) g_i=tile metrics, S_i=tile indicator functions, x=position Piecewise constant metric on tiled domain tools/lean/Semantics/Semantics/PistBridge.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 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 608 PIST_TorsionalState_Quaternion PIST q1,q2,q3=quaternions, η=learning rate, energy=error norm Quaternion-based torsional state with energy tracking tools/lean/Semantics/Semantics/TorsionalPIST.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 651 BettiCycleSet_Empty Braid Field Theory empty = {cycles=[]} Empty Betti cycle set tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ 647,648,649,650,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666 LAYER_D_INVARIANTS geometric_bind 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 720 AdvancedBio_freeEnergySurprisal AdvancedBio tools/lean/Semantics/Semantics/Extensions/AdvancedBioDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 721 AdvancedBio_fisherDeltaFitness AdvancedBio tools/lean/Semantics/Semantics/Extensions/AdvancedBioDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 722 AdvancedBio_neutralEvolutionRate AdvancedBio tools/lean/Semantics/Semantics/Extensions/AdvancedBioDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 723 AdvancedBio_NeuralFieldState AdvancedBio tools/lean/Semantics/Semantics/Extensions/AdvancedBioDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 724 AdvancedBio_wilsonCowanUpdate AdvancedBio tools/lean/Semantics/Semantics/Extensions/AdvancedBioDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 725 AdvancedBio_remodelingError AdvancedBio tools/lean/Semantics/Semantics/Extensions/AdvancedBioDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 726 AuditoryMasking_upperMaskingSlope AuditoryMasking tools/lean/Semantics/Semantics/Extensions/AuditoryMaskingDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 727 AuditoryMasking_signalToMaskRatio AuditoryMasking tools/lean/Semantics/Semantics/Extensions/AuditoryMaskingDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 728 AuditoryMasking_isSignalSalient AuditoryMasking tools/lean/Semantics/Semantics/Extensions/AuditoryMaskingDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 729 AuditoryMasking_specificLoudness AuditoryMasking tools/lean/Semantics/Semantics/Extensions/AuditoryMaskingDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 730 AuditoryMasking_totalLoudness AuditoryMasking tools/lean/Semantics/Semantics/Extensions/AuditoryMaskingDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 731 BioPhotonics_fluenceRateUpdate BioPhotonics tools/lean/Semantics/Semantics/Extensions/BioPhotonicsDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 732 BioPhotonics_photonEmissionRate BioPhotonics tools/lean/Semantics/Semantics/Extensions/BioPhotonicsDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 733 BioPhotonics_lightIntensityAtDepth BioPhotonics tools/lean/Semantics/Semantics/Extensions/BioPhotonicsDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 734 BiologicalControl_biologicalHamiltonian BiologicalControl tools/lean/Semantics/Semantics/Extensions/BiologicalControlDynamics.lean Lean ✅ LAYER_J_DYNAMICS control_bind 735 BiologicalControl_satisfyRequisiteVariety BiologicalControl tools/lean/Semantics/Semantics/Extensions/BiologicalControlDynamics.lean Lean ✅ LAYER_J_DYNAMICS control_bind 736 BiologicalControl_bellmanError BiologicalControl tools/lean/Semantics/Semantics/Extensions/BiologicalControlDynamics.lean Lean ✅ LAYER_J_DYNAMICS control_bind 737 BiologicalControl_paretoEfficiency BiologicalControl tools/lean/Semantics/Semantics/Extensions/BiologicalControlDynamics.lean Lean ✅ LAYER_J_DYNAMICS control_bind 738 BiologicalExergy_exergyDestruction BiologicalExergy tools/lean/Semantics/Semantics/Extensions/BiologicalExergyDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 739 BiologicalExergy_minimumEntropyProductionUpdate BiologicalExergy tools/lean/Semantics/Semantics/Extensions/BiologicalExergyDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 740 BiologicalExergy_maximumEntropyProductionRate BiologicalExergy tools/lean/Semantics/Semantics/Extensions/BiologicalExergyDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 741 BiologicalExergy_actualMetabolicWork BiologicalExergy tools/lean/Semantics/Semantics/Extensions/BiologicalExergyDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 742 BiologicalRegulation_fluxControlCoefficient BiologicalRegulation tools/lean/Semantics/Semantics/Extensions/BiologicalRegulationDynamics.lean Lean ✅ LAYER_J_DYNAMICS control_bind 743 BiologicalRegulation_isControlLawful BiologicalRegulation tools/lean/Semantics/Semantics/Extensions/BiologicalRegulationDynamics.lean Lean ✅ LAYER_J_DYNAMICS control_bind 744 BiologicalRegulation_adaptationUpdate BiologicalRegulation tools/lean/Semantics/Semantics/Extensions/BiologicalRegulationDynamics.lean Lean ✅ LAYER_J_DYNAMICS control_bind 745 BiologicalRegulation_isAdapted BiologicalRegulation tools/lean/Semantics/Semantics/Extensions/BiologicalRegulationDynamics.lean Lean ✅ LAYER_J_DYNAMICS control_bind 746 BiologicalRegulation_optimalRegulatoryMode BiologicalRegulation tools/lean/Semantics/Semantics/Extensions/BiologicalRegulationDynamics.lean Lean ✅ LAYER_J_DYNAMICS control_bind 747 CancerMetabolic_cancerOnsetProb CancerMetabolic tools/lean/Semantics/Semantics/Extensions/CancerMetabolicDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 748 CancerMetabolic_elasticityCoefficient CancerMetabolic tools/lean/Semantics/Semantics/Extensions/CancerMetabolicDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 749 CancerMetabolic_checkConnectivityTheorem CancerMetabolic tools/lean/Semantics/Semantics/Extensions/CancerMetabolicDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 750 CancerMetabolic_priceSelectionTerm CancerMetabolic tools/lean/Semantics/Semantics/Extensions/CancerMetabolicDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 751 CardiacYield_averageBiomassWeight CardiacYield tools/lean/Semantics/Semantics/Extensions/CardiacYieldDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 752 CardiacYield_totalBiomassYield CardiacYield tools/lean/Semantics/Semantics/Extensions/CardiacYieldDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 753 CardiacYield_gatingVariableUpdate CardiacYield tools/lean/Semantics/Semantics/Extensions/CardiacYieldDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 754 CardiacYield_nobleSodiumCurrent CardiacYield tools/lean/Semantics/Semantics/Extensions/CardiacYieldDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 755 CardiacYield_nobleK1Conductance CardiacYield tools/lean/Semantics/Semantics/Extensions/CardiacYieldDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 756 CellularSignaling_goldbeterKoshlandSwitch CellularSignaling tools/lean/Semantics/Semantics/Extensions/CellularSignalingDynamics.lean Lean ✅ LAYER_J_DYNAMICS control_bind 757 CellularSignaling_MitoticState CellularSignaling tools/lean/Semantics/Semantics/Extensions/CellularSignalingDynamics.lean Lean ✅ LAYER_J_DYNAMICS control_bind 758 CellularSignaling_tysonStep CellularSignaling tools/lean/Semantics/Semantics/Extensions/CellularSignalingDynamics.lean Lean ✅ LAYER_J_DYNAMICS control_bind 759 CellularSignaling_molecularRepression CellularSignaling tools/lean/Semantics/Semantics/Extensions/CellularSignalingDynamics.lean Lean ✅ LAYER_J_DYNAMICS control_bind 760 CellularSignaling_chemotacticFlux CellularSignaling tools/lean/Semantics/Semantics/Extensions/CellularSignalingDynamics.lean Lean ✅ LAYER_J_DYNAMICS control_bind 761 CognitiveAcoustic_integratedInformationPhi CognitiveAcoustic tools/lean/Semantics/Semantics/Extensions/CognitiveAcousticDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 762 CognitiveAcoustic_gnwGating CognitiveAcoustic tools/lean/Semantics/Semantics/Extensions/CognitiveAcousticDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 763 CognitiveAcoustic_orchOrCollapseTime CognitiveAcoustic tools/lean/Semantics/Semantics/Extensions/CognitiveAcousticDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 764 CognitiveAcoustic_sonarRange CognitiveAcoustic tools/lean/Semantics/Semantics/Extensions/CognitiveAcousticDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 765 CognitiveAcoustic_gammatoneEnvelope CognitiveAcoustic tools/lean/Semantics/Semantics/Extensions/CognitiveAcousticDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 766 CognitiveAcoustic_xenobotReplicationProb CognitiveAcoustic tools/lean/Semantics/Semantics/Extensions/CognitiveAcousticDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 767 CognitiveLearning_associativeStrengthUpdate CognitiveLearning tools/lean/Semantics/Semantics/Extensions/CognitiveLearningDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 768 CognitiveLearning_levySearchProbability CognitiveLearning tools/lean/Semantics/Semantics/Extensions/CognitiveLearningDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 769 CognitiveLearning_isCognitiveSwitchOptimal CognitiveLearning tools/lean/Semantics/Semantics/Extensions/CognitiveLearningDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 770 CognitiveLearning_memorySamplingProb CognitiveLearning tools/lean/Semantics/Semantics/Extensions/CognitiveLearningDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 771 ConstrainedEnergy_constrainedTEE ConstrainedEnergy tools/lean/Semantics/Semantics/Extensions/ConstrainedEnergyDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 772 ConstrainedEnergy_energyCompensationConstant ConstrainedEnergy tools/lean/Semantics/Semantics/Extensions/ConstrainedEnergyDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 773 ConstrainedEnergy_metabolicCeiling ConstrainedEnergy tools/lean/Semantics/Semantics/Extensions/ConstrainedEnergyDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 774 ConstrainedEnergy_metabolicScope ConstrainedEnergy tools/lean/Semantics/Semantics/Extensions/ConstrainedEnergyDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 775 ConstrainedEnergy_maintenanceBudget ConstrainedEnergy tools/lean/Semantics/Semantics/Extensions/ConstrainedEnergyDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 776 ConstructalMuscle_optimalBranchingRatio ConstructalMuscle tools/lean/Semantics/Semantics/Extensions/ConstructalMuscleDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 777 ConstructalMuscle_muscleShorteningVelocity ConstructalMuscle tools/lean/Semantics/Semantics/Extensions/ConstructalMuscleDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 778 ConstructalMuscle_totalMuscleForce ConstructalMuscle tools/lean/Semantics/Semantics/Extensions/ConstructalMuscleDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 779 ConstructalMuscle_surfaceVolumeRatio ConstructalMuscle tools/lean/Semantics/Semantics/Extensions/ConstructalMuscleDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 780 CorticalScaling_corticalNeuronScaling CorticalScaling tools/lean/Semantics/Semantics/Extensions/CorticalScalingDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 781 CorticalScaling_whiteMatterScaling CorticalScaling tools/lean/Semantics/Semantics/Extensions/CorticalScalingDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 782 CorticalScaling_isDendriticBranchLawful CorticalScaling tools/lean/Semantics/Semantics/Extensions/CorticalScalingDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 783 CorticalScaling_synapsisPerPairInvariant CorticalScaling tools/lean/Semantics/Semantics/Extensions/CorticalScalingDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 784 EcologicalInformation_margalefRichness EcologicalInformation tools/lean/Semantics/Semantics/Extensions/EcologicalInformationDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 785 EcologicalInformation_shannonDiversity EcologicalInformation tools/lean/Semantics/Semantics/Extensions/EcologicalInformationDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 786 EcologicalInformation_isSystemStable EcologicalInformation tools/lean/Semantics/Semantics/Extensions/EcologicalInformationDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 787 EcologicalInformation_informationShedding EcologicalInformation tools/lean/Semantics/Semantics/Extensions/EcologicalInformationDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 788 EcologicalNetwork_and EcologicalNetwork tools/lean/Semantics/Semantics/Extensions/EcologicalNetworkDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 789 EcologicalNetwork_redfieldCheck EcologicalNetwork tools/lean/Semantics/Semantics/Extensions/EcologicalNetworkDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 790 EcologicalNetwork_hollingType1 EcologicalNetwork tools/lean/Semantics/Semantics/Extensions/EcologicalNetworkDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 791 EcologicalNetwork_hollingType2 EcologicalNetwork tools/lean/Semantics/Semantics/Extensions/EcologicalNetworkDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 792 EcologicalNetwork_hollingType3 EcologicalNetwork tools/lean/Semantics/Semantics/Extensions/EcologicalNetworkDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 793 EcologicalNetwork_networkConnectance EcologicalNetwork tools/lean/Semantics/Semantics/Extensions/EcologicalNetworkDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 794 EcologicalNetwork_taylorsVariance EcologicalNetwork tools/lean/Semantics/Semantics/Extensions/EcologicalNetworkDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 795 Epidemiological_basicReproductionNumber Epidemiological tools/lean/Semantics/Semantics/Extensions/EpidemiologicalDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 796 Epidemiological_herdImmunityThreshold Epidemiological tools/lean/Semantics/Semantics/Extensions/EpidemiologicalDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 797 Epidemiological_SIRState Epidemiological tools/lean/Semantics/Semantics/Extensions/EpidemiologicalDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 798 Epidemiological_sirUpdate Epidemiological tools/lean/Semantics/Semantics/Extensions/EpidemiologicalDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 799 EpidemiologicalTrophic_reedFrostNewCases EpidemiologicalTrophic tools/lean/Semantics/Semantics/Extensions/EpidemiologicalTrophicDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 800 EpidemiologicalTrophic_trophicWaveUpdate EpidemiologicalTrophic tools/lean/Semantics/Semantics/Extensions/EpidemiologicalTrophicDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 801 EpidemiologicalTrophic_trophicKinetics EpidemiologicalTrophic tools/lean/Semantics/Semantics/Extensions/EpidemiologicalTrophicDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 802 EvolutionaryLandscape_frequencyChangeGradient EvolutionaryLandscape tools/lean/Semantics/Semantics/Extensions/EvolutionaryLandscapeDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 803 EvolutionaryLandscape_populationMeanFitness EvolutionaryLandscape tools/lean/Semantics/Semantics/Extensions/EvolutionaryLandscapeDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 804 EvolutionaryLandscape_isDriftDominant EvolutionaryLandscape tools/lean/Semantics/Semantics/Extensions/EvolutionaryLandscapeDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 805 EvolutionaryLandscape_isAscendingPeak EvolutionaryLandscape tools/lean/Semantics/Semantics/Extensions/EvolutionaryLandscapeDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 806 EvolutionaryNetwork_in EvolutionaryNetwork tools/lean/Semantics/Semantics/Extensions/EvolutionaryNetworkDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 807 EvolutionaryNetwork_hawkDoveMixedStrategy EvolutionaryNetwork tools/lean/Semantics/Semantics/Extensions/EvolutionaryNetworkDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 808 EvolutionaryNetwork_isStrategyStable EvolutionaryNetwork tools/lean/Semantics/Semantics/Extensions/EvolutionaryNetworkDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 809 EvolutionaryNetwork_genusExtinctionRate EvolutionaryNetwork tools/lean/Semantics/Semantics/Extensions/EvolutionaryNetworkDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 810 EvolutionaryNetwork_degreeProbability EvolutionaryNetwork tools/lean/Semantics/Semantics/Extensions/EvolutionaryNetworkDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 811 EvolutionaryNetwork_attachmentWeight EvolutionaryNetwork tools/lean/Semantics/Semantics/Extensions/EvolutionaryNetworkDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 812 EvolutionaryNetwork_isMutationNeutral EvolutionaryNetwork tools/lean/Semantics/Semantics/Extensions/EvolutionaryNetworkDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 813 GenomicStoichiometric_adamiComplexity GenomicStoichiometric tools/lean/Semantics/Semantics/Extensions/GenomicStoichiometricDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 814 GenomicStoichiometric_regulatoryGeneCount GenomicStoichiometric tools/lean/Semantics/Semantics/Extensions/GenomicStoichiometricDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 815 GenomicStoichiometric_revelleFactor GenomicStoichiometric tools/lean/Semantics/Semantics/Extensions/GenomicStoichiometricDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 816 GenomicStoichiometric_remineralizationOxygenRatio GenomicStoichiometric tools/lean/Semantics/Semantics/Extensions/GenomicStoichiometricDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 817 LocomotionMuscle_strouhalNumber LocomotionMuscle tools/lean/Semantics/Semantics/Extensions/LocomotionMuscleDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 818 LocomotionMuscle_isPropulsionEfficient LocomotionMuscle tools/lean/Semantics/Semantics/Extensions/LocomotionMuscleDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 819 LocomotionMuscle_froudeNumber LocomotionMuscle tools/lean/Semantics/Semantics/Extensions/LocomotionMuscleDynamics.lean Lean ✅ LAYER_J_DYNAMICS thermodynamic_bind 820 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 821 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID 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CrossDimensionalFilter_semanticPrimeCount CrossDimensionalFilter tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean Lean ✅ LAYER_K_SIGNAL signal_bind 974 CrossDimensionalFilter_allSemanticPrimes CrossDimensionalFilter tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean Lean ✅ LAYER_K_SIGNAL signal_bind 975 CrossDimensionalFilter_MatryoshkaShell CrossDimensionalFilter tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean Lean ✅ LAYER_K_SIGNAL signal_bind 976 CrossDimensionalFilter_shellUnderstands CrossDimensionalFilter tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean Lean ✅ LAYER_K_SIGNAL signal_bind 977 CrossDimensionalFilter_DimensionalEntity CrossDimensionalFilter tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean Lean ✅ LAYER_K_SIGNAL signal_bind 978 CrossDimensionalFilter_primeOverlap CrossDimensionalFilter tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean Lean ✅ LAYER_K_SIGNAL signal_bind 979 CrossDimensionalFilter_overlapToScalar CrossDimensionalFilter tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean Lean ✅ LAYER_K_SIGNAL signal_bind 980 CrossDimensionalFilter_reductionFilter CrossDimensionalFilter tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean Lean ✅ LAYER_K_SIGNAL signal_bind 981 CrossDimensionalFilter_expansionFilter CrossDimensionalFilter tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean Lean ✅ LAYER_K_SIGNAL signal_bind 982 CrossDimensionalFilter_CrossShellMessage CrossDimensionalFilter tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean Lean ✅ LAYER_K_SIGNAL signal_bind 983 CrossDimensionalFilter_sendCrossShell CrossDimensionalFilter tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean Lean ✅ LAYER_K_SIGNAL signal_bind 984 CrossDimensionalFilter_receiveCrossShell CrossDimensionalFilter tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean Lean ✅ LAYER_K_SIGNAL signal_bind 985 CrossDimensionalFilter_spawnSubShells CrossDimensionalFilter 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HotPathColdPath_branchPrediction HotPathColdPath tools/lean/Semantics/Semantics/HotPathColdPath.lean Lean ✅ LAYER_B_ROUTING informational_bind 1026 HotPathColdPath_sluqRouting HotPathColdPath tools/lean/Semantics/Semantics/HotPathColdPath.lean Lean ✅ LAYER_B_ROUTING informational_bind 1027 HotPathColdPath_classifyPath HotPathColdPath tools/lean/Semantics/Semantics/HotPathColdPath.lean Lean ✅ LAYER_B_ROUTING informational_bind 1028 HotPathColdPath_calculateHotPathProbability HotPathColdPath tools/lean/Semantics/Semantics/HotPathColdPath.lean Lean ✅ LAYER_B_ROUTING informational_bind 1029 HotPathColdPath_calculateColdPathProbability HotPathColdPath tools/lean/Semantics/Semantics/HotPathColdPath.lean Lean ✅ LAYER_B_ROUTING informational_bind 1030 HotPathColdPath_calculateUnifiedAdjustment HotPathColdPath tools/lean/Semantics/Semantics/HotPathColdPath.lean Lean ✅ LAYER_B_ROUTING informational_bind 1031 HotPathColdPath_updateUnifiedTopology HotPathColdPath 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ManifoldNetworking_verifyLittleLaw ManifoldNetworking tools/lean/Semantics/Semantics/ManifoldNetworking.lean Lean ✅ LAYER_B_ROUTING informational_bind 1045 ManifoldNetworking_ManifoldTokenBucket ManifoldNetworking tools/lean/Semantics/Semantics/ManifoldNetworking.lean Lean ✅ LAYER_B_ROUTING informational_bind 1046 ManifoldNetworking_consumeTokens ManifoldNetworking tools/lean/Semantics/Semantics/ManifoldNetworking.lean Lean ✅ LAYER_B_ROUTING informational_bind 1047 ManifoldNetworking_ManifoldAIMD ManifoldNetworking tools/lean/Semantics/Semantics/ManifoldNetworking.lean Lean ✅ LAYER_B_ROUTING informational_bind 1048 ManifoldNetworking_aimdUpdate ManifoldNetworking tools/lean/Semantics/Semantics/ManifoldNetworking.lean Lean ✅ LAYER_B_ROUTING informational_bind 1049 ManifoldNetworking_ManifoldCUBIC ManifoldNetworking tools/lean/Semantics/Semantics/ManifoldNetworking.lean Lean ✅ LAYER_B_ROUTING informational_bind 1050 ManifoldNetworking_cubicComputeK ManifoldNetworking 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ManifoldNetworking_littleLawVerification_preservesValidity ManifoldNetworking tools/lean/Semantics/Semantics/ManifoldNetworking.lean Lean ✅ LAYER_B_ROUTING informational_bind 1069 ManifoldNetworking_NormalNetworkLimitConditions ManifoldNetworking tools/lean/Semantics/Semantics/ManifoldNetworking.lean Lean ✅ LAYER_B_ROUTING informational_bind 1070 ManifoldNetworking_isNormalNetworkLimit ManifoldNetworking tools/lean/Semantics/Semantics/ManifoldNetworking.lean Lean ✅ LAYER_B_ROUTING informational_bind 1071 ManifoldNetworking_normalNetworkLimit ManifoldNetworking tools/lean/Semantics/Semantics/ManifoldNetworking.lean Lean ✅ LAYER_B_ROUTING informational_bind 1072 MorphicNeuralNetwork_ScalarInput MorphicNeuralNetwork tools/lean/Semantics/Semantics/MorphicNeuralNetwork.lean Lean ✅ LAYER_B_ROUTING informational_bind 1073 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1074 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1075 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1076 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1077 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1078 AMMR_ammrStateFromTorsionalTile_usesTileInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1079 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1080 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1081 ASICTopology_asicInputInvariant ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_D_INVARIANTS 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tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1096 AgenticOrchestrationField_teamOrchestrationField AgenticOrchestrationField tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1097 AgenticTheorems_assignmentRespectsCapabilities AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1098 AgenticTheorems_dependenciesRespected AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1099 AgenticTheorems_orchestrationTermination AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1100 AgenticTheorems_synergyImprovesPerformance AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1101 AgenticTheorems_agentFieldBounded AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1102 AgenticTheorems_loadPenaltyDecreasesField AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1103 AngrySphinxPolicy_enforceAngrySphinxGate AngrySphinxPolicy tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1104 Atoms_DiscreteSemanticState Atoms tools/lean/Semantics/Semantics/Atoms.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1105 Atoms_updateSemanticStateFromGeometry Atoms tools/lean/Semantics/Semantics/Atoms.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1106 Atoms_updateSemanticStateFromChristoffel Atoms tools/lean/Semantics/Semantics/Atoms.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1107 BaselineTest_invariantPreservationPerByte BaselineTest tools/lean/Semantics/Semantics/BaselineTest.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1108 Bind_physicalBind Bind tools/lean/Semantics/Semantics/Bind.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1109 BindEngine_SMInvariants BindEngine tools/lean/Semantics/Semantics/BindEngine.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1110 BracketShellCount_gapConservation BracketShellCount tools/lean/Semantics/Semantics/BracketShellCount.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1111 BracketedCalculus_checkGapConservation BracketedCalculus tools/lean/Semantics/Semantics/BracketedCalculus.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1112 BraidField_where BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1113 BraidField_IntNode BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1114 BraidField_IntNode BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1115 BraidField_BettiCycle BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1116 BraidField_BettiCycleSet BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1117 BraidField_BettiCycleSet BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1118 BraidField_is BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1119 BraidField_height BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1120 BraidField_apex BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1121 BraidField_base BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1122 BraidField_inner BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1123 BraidField_merge BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1124 BraidField_size BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1125 BraidField_peaks BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1126 BraidField_latestPeak BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1127 BraidField_append BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1128 BraidField_isStable BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1129 BraidField_PISTField BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1130 BraidField_burdenCost BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1131 BraidField_geometryCost BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1132 BraidField_adaptationCost BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1133 BraidField_protectionCost BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1134 BraidField_computePIST BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1135 BraidField_SpherionState BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1136 BraidField_SpherionState BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1137 BraidField_voidUpdate BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1138 BraidField_betaStep BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1139 BraidField_rgFlow BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1140 BraidField_SpherionState BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1141 BraidField_SpherionState BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1142 BraidField_mkSpike BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1143 BraidField_exampleFlow BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1144 BraidField_twoSpikeMerge BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1145 CacheSieve_sieveInvariant CacheSieve tools/lean/Semantics/Semantics/CacheSieve.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1146 CanonAdapters_CanonicalVectorSpec CanonAdapters tools/lean/Semantics/Semantics/CanonAdapters.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1147 CanonAdapters_CanonicalVectorSpec CanonAdapters tools/lean/Semantics/Semantics/CanonAdapters.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1148 CanonAdapters_emptyCanonicalVectorWidth CanonAdapters tools/lean/Semantics/Semantics/CanonAdapters.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1149 CanonSerialization_FieldSpec CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1150 CanonSerialization_CanonicalField CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1151 CanonSerialization_SourceField CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1152 CanonSerialization_fieldKindTag CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1153 CanonSerialization_serializeCanonicalField CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1154 CanonSerialization_fieldKindCoreSafe CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1155 CanonSerialization_uniqueFieldNames CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1156 CanonicalInterval_canonicalIntervalInvariant CanonicalInterval tools/lean/Semantics/Semantics/CanonicalInterval.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1157 CasimirMetaprobe_boltzmannConstant CasimirMetaprobe tools/lean/Semantics/Semantics/CasimirMetaprobe.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1158 CasimirMetaprobe_parallelPlateForcePerArea CasimirMetaprobe tools/lean/Semantics/Semantics/CasimirMetaprobe.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1159 CasimirMetaprobe_thermalCasimirForce CasimirMetaprobe tools/lean/Semantics/Semantics/CasimirMetaprobe.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1160 ClassicalEuclideanGeometry_ThalesTheorem ClassicalEuclideanGeometry tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1161 ClassicalEuclideanGeometry_pythagoreanTheorem ClassicalEuclideanGeometry tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1162 ClassicalEuclideanGeometry_powerOfPointTheorem ClassicalEuclideanGeometry tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1163 ClassicalEuclideanGeometry_chordTheorem ClassicalEuclideanGeometry tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1164 ClassicalEuclideanGeometry_secantTangentTheorem ClassicalEuclideanGeometry tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1165 ClassicalEuclideanGeometry_euclidSecondTheorem ClassicalEuclideanGeometry tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1166 ClassicalEuclideanGeometry_unitSegmentSqrtProperty ClassicalEuclideanGeometry tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1167 CognitiveLoad_loadInvariant CognitiveLoad tools/lean/Semantics/Semantics/CognitiveLoad.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1168 CompressionMaximization_compressionRatioPhysicalConstraint CompressionMaximization tools/lean/Semantics/Semantics/CompressionMaximization.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1169 CompressionMaximization_theoreticalLimitViolatesPhysicalConstraint CompressionMaximization tools/lean/Semantics/Semantics/CompressionMaximization.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1170 CompressionMechanics_MechanicalCompressionWitness CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1171 CompressionMechanics_summaryAligned CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1172 CompressionMechanics_contactOrderCovered CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1173 CompressionMechanics_actuationBudgeted CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1174 CompressionMechanics_workBudgeted CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1175 CompressionMechanics_mechanicallyAdmissible CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1176 CompressionMechanics_witnessOfCompression CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1177 CompressionMechanics_mechanicallyAdmissibleOfBounds CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1178 CompressionMechanics_positiveWorkOfIrreversibleCompression CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1179 CompressionMechanics_compressionContractsMechanicalOrder CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1180 CompressionMechanics_sampleMechanicalCompressionWitness CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1181 CompressionMechanicsBridge_SubstrateWitness CompressionMechanicsBridge tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1182 CompressionMechanicsBridge_dissipationCovered CompressionMechanicsBridge tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1183 CompressionMechanicsBridge_supportCovered 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ConservationTest_conservationQuizBank ConservationTest tools/lean/Semantics/Semantics/ConservationTest.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1195 ConservationTest_runConservationQuiz ConservationTest tools/lean/Semantics/Semantics/ConservationTest.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1196 ConservationTest_testTokenConservation ConservationTest tools/lean/Semantics/Semantics/ConservationTest.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1197 Constitution_no_motion_without_lawful_path Constitution tools/lean/Semantics/Semantics/Constitution.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1198 CooperativeLUT_drakeConstant CooperativeLUT tools/lean/Semantics/Semantics/CooperativeLUT.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1199 CooperativeLUT_driftBarrierConstant CooperativeLUT tools/lean/Semantics/Semantics/CooperativeLUT.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1200 CooperativeLUT_biophysicalLUT CooperativeLUT tools/lean/Semantics/Semantics/CooperativeLUT.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1201 CooperativeLUT_connectomeInvariant CooperativeLUT tools/lean/Semantics/Semantics/CooperativeLUT.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1202 CooperativeLUT_btbSizeInvariant CooperativeLUT tools/lean/Semantics/Semantics/CooperativeLUT.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1203 CostEffectiveVerification_OntologicalSystem CostEffectiveVerification tools/lean/Semantics/Semantics/CostEffectiveVerification.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1204 CostEffectiveVerification_ontologicallyDifferent CostEffectiveVerification tools/lean/Semantics/Semantics/CostEffectiveVerification.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1205 CriticalityDynamics_abelianInvariantHoldsByLoadSum CriticalityDynamics tools/lean/Semantics/Semantics/CriticalityDynamics.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1206 CrossDimensionalFilter_preservedPrimesUnderstood CrossDimensionalFilter tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1207 Curvature_curvatureInvariant Curvature tools/lean/Semantics/Semantics/Curvature.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1208 DSPTranslation_priorInvariant DSPTranslation tools/lean/Semantics/Semantics/DSPTranslation.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1209 DSPTranslation_stateInvariant DSPTranslation tools/lean/Semantics/Semantics/DSPTranslation.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1210 DefectMechanics_DefectWitness DefectMechanics tools/lean/Semantics/Semantics/DefectMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1211 DefectMechanics_vacancyCovered DefectMechanics tools/lean/Semantics/Semantics/DefectMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1212 DefectMechanics_distortionBounded DefectMechanics tools/lean/Semantics/Semantics/DefectMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1213 DefectMechanics_defectBudgeted DefectMechanics tools/lean/Semantics/Semantics/DefectMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1214 DefectMechanics_defectAdmissible DefectMechanics tools/lean/Semantics/Semantics/DefectMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1215 DefectMechanics_witnessOfMechanical DefectMechanics tools/lean/Semantics/Semantics/DefectMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1216 DefectMechanics_defectAdmissibleOfBounds DefectMechanics tools/lean/Semantics/Semantics/DefectMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1217 DefectMechanics_vacancyCountLeOccupancyBound DefectMechanics tools/lean/Semantics/Semantics/DefectMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1218 DefectMechanics_compressionContractsVacancyCount DefectMechanics tools/lean/Semantics/Semantics/DefectMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1219 DefectMechanics_distortionLeActuationBudget DefectMechanics tools/lean/Semantics/Semantics/DefectMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1220 DefectMechanics_sampleDefectWitness DefectMechanics tools/lean/Semantics/Semantics/DefectMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1221 DeltaGCLCompression_modelTypeFromPTOS DeltaGCLCompression tools/lean/Semantics/Semantics/DeltaGCLCompression.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1222 DeltaGCLCompression_angrySphinxEnergyAsymmetry DeltaGCLCompression tools/lean/Semantics/Semantics/DeltaGCLCompression.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1223 DeltaGCLCompression_angrySphinx_energy_asymmetry_exponential DeltaGCLCompression tools/lean/Semantics/Semantics/DeltaGCLCompression.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1224 DeltaGCLCompression_wardenValidateProof DeltaGCLCompression tools/lean/Semantics/Semantics/DeltaGCLCompression.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1225 DeltaGCLCompression_triumvirate_warden_proof_validation DeltaGCLCompression tools/lean/Semantics/Semantics/DeltaGCLCompression.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1226 DeltaGCLCompression_nucleic_concatenation_preserves_invariants DeltaGCLCompression tools/lean/Semantics/Semantics/DeltaGCLCompression.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1227 DeltaGCLCompression_nucleic_interleaving_preserves_invariants DeltaGCLCompression tools/lean/Semantics/Semantics/DeltaGCLCompression.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1228 DeltaGCLCompression_verifyActionProof DeltaGCLCompression tools/lean/Semantics/Semantics/DeltaGCLCompression.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1229 DeltaGCLCompression_attestation_requires_proof DeltaGCLCompression tools/lean/Semantics/Semantics/DeltaGCLCompression.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1230 DeltaGCLCompression_attestation_rejects_disallowed_types DeltaGCLCompression tools/lean/Semantics/Semantics/DeltaGCLCompression.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1231 DiffusionSNRBias_energyConservation DiffusionSNRBias tools/lean/Semantics/Semantics/DiffusionSNRBias.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1232 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1233 ASCIIGen_ASCIIEncodingData ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 1234 ASCIIGen_analyzeASCIIEncoding ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 1235 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1236 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1237 ASICTopology_ASICTopologyEdge ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1238 ASICTopology_ASICTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1239 ASICTopology_rtl8126Topology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1240 ASICTopology_findNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1241 ASICTopology_findEdgesFrom ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1242 ASICTopology_geodesicDistance ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1243 ASICTopology_ASICOptimalPath ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1244 ASICTopology_findOptimalPath ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1245 ASICTopology_Workload ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1246 ASICTopology_AdmissibilityResult ASICTopology 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tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1254 ASICTopology_ManifoldToASICTranslation ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1255 ASICTopology_createASICToManifoldMapping ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1256 ASICTopology_createManifoldToASICMapping ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1257 ASICTopology_translateManifoldToASIC ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1258 ASICTopology_translateASICToManifold ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1259 ASICTopology_asicOptimizedAddressTranslation ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1260 ASICTopology_asicOptimizedChecksum ASICTopology 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✅ LAYER_C_BRAID geometric_bind 1268 ASICTopology_findNode_some_if_exists ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1269 ASICTopology_findNode_none_if_not_exists ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1270 ASICTopology_findEdgesFrom_sourceId_correct ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1271 ASICTopology_arbitraryCompute_never_admissible ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1272 ASICTopology_checkOperationAdmissibility_deterministic ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1273 ASICTopology_ManifoldToASICChain ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1274 ASICTopology_executeManifoldToASICChain ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1275 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1276 AVMRInformation_shellEntropy AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1277 AVMRInformation_shellEntropyBound AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1278 AVMRInformation_degeneracy AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1279 AVMRInformation_totalCodons AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1280 AVMRInformation_avgDegeneracyCloseToE AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1281 AVMRProofs_3 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Lean ✅ LAYER_I_ENCODING informational_bind 1310 CBFHardwareMetaprobe_clockFrequency CBFHardwareMetaprobe tools/lean/Semantics/Semantics/CBFHardwareMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1311 CanonSerialization_encodeU16BE CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_I_ENCODING informational_bind 1312 CanonSerialization_encodeU32BE CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_I_ENCODING informational_bind 1313 CanonSerialization_encodeU64BE CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_I_ENCODING informational_bind 1314 CanonSerialization_encodeNatBE CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_I_ENCODING informational_bind 1315 CanonSerialization_encodeText CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_I_ENCODING informational_bind 1316 CanonSerialization_FilteredField CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1317 CanonSerialization_FilterResult CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1318 CanonSerialization_FilterRule CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1319 CanonSerialization_applyFilters CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1320 CanonSerialization_filter_safe_no_adversarial_kept CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1321 CasimirMetaprobe_plasmaFrequency CasimirMetaprobe tools/lean/Semantics/Semantics/CasimirMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1322 ClassicalEuclideanGeometry_ThalesTheorem ClassicalEuclideanGeometry tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean Lean ✅ 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tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1329 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1330 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1331 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1332 AMMR_verdictAllowsRoute AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1333 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1334 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1335 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1336 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1337 AMMR_ammrStateFromTorsionalTile_usesTileInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1338 ASCIIArtCompetition_evaluateStyleClassification ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1339 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1340 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1341 ASICTopology_ASICOptimalPath ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_B_ROUTING informational_bind 1342 ASICTopology_findOptimalPath ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_B_ROUTING informational_bind 1343 ASICTopology_checkOperationAdmissibility ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1344 ASICTopology_checkWorkloadAdmissibility ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1345 ASICTopology_asicOptimizedChecksum ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1346 ASICTopology_performASICOptimizedOperation ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1347 ASICTopology_asicInputInvariant ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1348 ASICTopology_asicOutputInvariant ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1349 ASICTopology_asicOperationCost ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1350 ASICTopology_checkOperationAdmissibility_deterministic ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1351 AVMR_vectorField AVMR tools/lean/Semantics/Semantics/AVMR.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1352 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1353 AVMRProofs_3 AVMRProofs tools/lean/Semantics/Semantics/AVMRProofs.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1354 AVMRTheorems_proves AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1355 AVMRTheorems_tipCoordinateMassResonance AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1356 AVMRTheorems_fortyFiveLineFactorRevelation AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1357 AVMRTheorems_pronicFactorization AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1358 AVMRTheorems_fortyFiveLineIsGC AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1359 AVMRTheorems_missingLinkODE AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1360 AVMRTheorems_gradientFlowForm AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1361 Adaptation_FlowAudit Adaptation tools/lean/Semantics/Semantics/Adaptation.lean Lean ✅ LAYER_B_ROUTING informational_bind 1362 Adaptation_flowAuditLoop Adaptation tools/lean/Semantics/Semantics/Adaptation.lean Lean ✅ LAYER_B_ROUTING informational_bind 1363 Adaptation_flowAudit Adaptation tools/lean/Semantics/Semantics/Adaptation.lean Lean ✅ LAYER_B_ROUTING informational_bind 1364 Adaptation_flowAuditLoopFinalEqEventually Adaptation tools/lean/Semantics/Semantics/Adaptation.lean Lean ✅ LAYER_B_ROUTING informational_bind 1365 AdaptiveFabric_testConfig AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1366 AdversarialTopologyTest_AdversarialTopologyQuestion AdversarialTopologyTest tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1367 AdversarialTopologyTest_AdversarialTopologyResult AdversarialTopologyTest tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1368 AdversarialTopologyTest_adversarialTopologyQuizBank AdversarialTopologyTest tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1369 AdversarialTopologyTest_runAdversarialTopologyQuiz AdversarialTopologyTest tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1370 AdversarialTopologyTest_testAdversarialTopology AdversarialTopologyTest tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1371 AgenticHardware_AgentFrustrationWave AgenticHardware tools/lean/Semantics/Semantics/AgenticHardware.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1372 AgenticOrchestrationField_AgentFieldParams AgenticOrchestrationField tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1373 AgenticOrchestrationField_CoordinationParams AgenticOrchestrationField tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1374 AgenticOrchestrationField_agentField AgenticOrchestrationField tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1375 AgenticOrchestrationField_coordinationField AgenticOrchestrationField tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1376 AgenticOrchestrationField_teamOrchestrationField AgenticOrchestrationField tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1377 AgenticTheorems_assignmentRespectsCapabilities AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1378 AgenticTheorems_dependenciesRespected AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1379 AgenticTheorems_orchestrationTermination AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1380 AgenticTheorems_synergyImprovesPerformance AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1381 AgenticTheorems_agentFieldBounded AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1382 AgenticTheorems_loadPenaltyDecreasesField AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1383 AngrySphinxPolicy_checkAngrySphinxCompliance AngrySphinxPolicy tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1384 AngrySphinxPolicy_enforceAngrySphinxGate AngrySphinxPolicy tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1385 ArrayTest_a1 ArrayTest tools/lean/Semantics/Semantics/ArrayTest.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1386 ArrayTest_a2 ArrayTest tools/lean/Semantics/Semantics/ArrayTest.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1387 Atoms_DiscreteSemanticState Atoms tools/lean/Semantics/Semantics/Atoms.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1388 Atoms_SemanticFrustrationWave Atoms tools/lean/Semantics/Semantics/Atoms.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1389 Atoms_updateSemanticStateFromGeometry Atoms tools/lean/Semantics/Semantics/Atoms.lean Lean ✅ 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BaselineTest_runBaselineTest BaselineTest tools/lean/Semantics/Semantics/BaselineTest.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1398 BaselineTest_baselineGate BaselineTest tools/lean/Semantics/Semantics/BaselineTest.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1399 Basic_BasicFrustrationWave Basic tools/lean/Semantics/Semantics/Basic.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1400 Bind_physicalBind Bind tools/lean/Semantics/Semantics/Bind.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1401 BindEngine_SMInvariants BindEngine tools/lean/Semantics/Semantics/BindEngine.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1402 BitcoinMetaprobe_SHARoutingPacket BitcoinMetaprobe tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean Lean ✅ LAYER_B_ROUTING informational_bind 1403 BitcoinMetaprobe_SHARoutingResult BitcoinMetaprobe tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean Lean ✅ LAYER_B_ROUTING informational_bind 1404 BitcoinMetaprobe_filterBatch BitcoinMetaprobe 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tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean Lean ✅ LAYER_B_ROUTING informational_bind 1411 BitcoinMetaprobeEval_computeRoutingPacketHash BitcoinMetaprobeEval tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean Lean ✅ LAYER_B_ROUTING informational_bind 1412 BitcoinMetaprobeEval_testCase1_validOpenwormPayload BitcoinMetaprobeEval tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1413 BitcoinMetaprobeEval_testCase2_missingPolicyRoot BitcoinMetaprobeEval tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1414 BitcoinMetaprobeEval_testCase3_missingReceipt BitcoinMetaprobeEval tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1415 BitcoinMetaprobeEval_testCase4_policyMismatch BitcoinMetaprobeEval tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1416 BitcoinMetaprobeEval_testCase5_forbiddenHumanNeuralPayload BitcoinMetaprobeEval tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1417 BitcoinMetaprobeEval_testCase6_validBatchFold BitcoinMetaprobeEval tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1418 BitcoinMetaprobeEval_testCase7_unsafeBatchEmergence BitcoinMetaprobeEval tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1419 BitcoinMetaprobeEval_testCase8_shaOnlyPayload BitcoinMetaprobeEval tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1420 BitcoinMetaprobeEval_testCase9_arbitraryComputeOnSHAASIC BitcoinMetaprobeEval tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1421 BitcoinRGFlow_BitcoinPriceState BitcoinRGFlow tools/lean/Semantics/Semantics/BitcoinRGFlow.lean Lean ✅ LAYER_B_ROUTING informational_bind 1422 BitcoinRGFlow_BitcoinRGFlowBind BitcoinRGFlow tools/lean/Semantics/Semantics/BitcoinRGFlow.lean Lean ✅ LAYER_B_ROUTING informational_bind 1423 BitcoinRGFlow_bitcoinInformationalBind BitcoinRGFlow tools/lean/Semantics/Semantics/BitcoinRGFlow.lean Lean ✅ LAYER_B_ROUTING informational_bind 1424 BitcoinRGFlow_rollingWindowQ16 BitcoinRGFlow tools/lean/Semantics/Semantics/BitcoinRGFlow.lean Lean ✅ LAYER_B_ROUTING informational_bind 1425 BitcoinRGFlow_Q1616 BitcoinRGFlow tools/lean/Semantics/Semantics/BitcoinRGFlow.lean Lean ✅ LAYER_B_ROUTING informational_bind 1426 BitcoinRGFlow_safeStdQ16 BitcoinRGFlow tools/lean/Semantics/Semantics/BitcoinRGFlow.lean Lean ✅ LAYER_B_ROUTING informational_bind 1427 BitcoinRGFlow_logReturnsQ16 BitcoinRGFlow tools/lean/Semantics/Semantics/BitcoinRGFlow.lean Lean ✅ LAYER_B_ROUTING informational_bind 1428 BitcoinRGFlow_computeSigmaQQ16 BitcoinRGFlow tools/lean/Semantics/Semantics/BitcoinRGFlow.lean Lean ✅ LAYER_B_ROUTING informational_bind 1429 BitcoinRGFlow_isLawfulRGFlowQ16 BitcoinRGFlow tools/lean/Semantics/Semantics/BitcoinRGFlow.lean Lean ✅ LAYER_B_ROUTING informational_bind 1430 BitcoinRGFlow_computeMuQQ16 BitcoinRGFlow tools/lean/Semantics/Semantics/BitcoinRGFlow.lean Lean ✅ LAYER_B_ROUTING informational_bind 1431 BitcoinRGFlow_bitcoinRGFlowAnalysisQ16 BitcoinRGFlow tools/lean/Semantics/Semantics/BitcoinRGFlow.lean Lean ✅ LAYER_B_ROUTING informational_bind 1432 BitcoinRGFlow_batchBitcoinRGFlowQ16 BitcoinRGFlow tools/lean/Semantics/Semantics/BitcoinRGFlow.lean Lean ✅ LAYER_B_ROUTING informational_bind 1433 BracketShellCount_gapConservation BracketShellCount tools/lean/Semantics/Semantics/BracketShellCount.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1434 BracketedCalculus_checkGapConservation BracketedCalculus tools/lean/Semantics/Semantics/BracketedCalculus.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1435 BraidField_where BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1436 BraidField_IntNode BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1437 BraidField_IntNode BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1438 BraidField_BettiCycle BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1439 BraidField_BettiCycleSet BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1440 BraidField_BettiCycleSet BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1441 BraidField_is BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1442 BraidField_height BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1443 BraidField_apex BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1444 BraidField_base BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1445 BraidField_inner BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1446 BraidField_merge BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1447 BraidField_size BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1448 BraidField_peaks BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1449 BraidField_append BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1450 BraidField_isStable BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1451 BraidField_PISTField BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1452 BraidField_burdenCost BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1453 BraidField_geometryCost BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1454 BraidField_adaptationCost BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1455 BraidField_protectionCost BraidField tools/lean/Semantics/Semantics/BraidField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1456 CBFHardwareMetaprobe_clockFrequency CBFHardwareMetaprobe tools/lean/Semantics/Semantics/CBFHardwareMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1457 CacheSieve_sieveInvariant CacheSieve tools/lean/Semantics/Semantics/CacheSieve.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1458 CalibratedKernel_stableDrivenScoreCalibrated CalibratedKernel tools/lean/Semantics/Semantics/CalibratedKernel.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1459 CalibratedKernel_routeStableCalibrated CalibratedKernel tools/lean/Semantics/Semantics/CalibratedKernel.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1460 Canon_isStable Canon tools/lean/Semantics/Semantics/Canon.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1461 Canon_defaultIsStable Canon tools/lean/Semantics/Semantics/Canon.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1462 CanonSerialization_FilterResult CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1463 CanonSerialization_FilterRule CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1464 CanonSerialization_applyFilters CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1465 CanonSerialization_filter_safe_no_adversarial_kept CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1466 CanonicalInterval_canonicalIntervalInvariant CanonicalInterval 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tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1473 ClassicalEuclideanGeometry_powerOfPointTheorem ClassicalEuclideanGeometry tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1474 ClassicalEuclideanGeometry_chordTheorem ClassicalEuclideanGeometry tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1475 ClassicalEuclideanGeometry_secantTangentTheorem ClassicalEuclideanGeometry tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1476 ClassicalEuclideanGeometry_euclidSecondTheorem ClassicalEuclideanGeometry tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1477 ClassicalEuclideanGeometry_unitSegmentSqrtProperty ClassicalEuclideanGeometry tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1478 CognitiveLoad_loadInvariant CognitiveLoad tools/lean/Semantics/Semantics/CognitiveLoad.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1479 CompressionLossComparison_isFixedPoint CompressionLossComparison tools/lean/Semantics/Semantics/CompressionLossComparison.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1480 CompressionLossComparison_fixedPointStationary CompressionLossComparison tools/lean/Semantics/Semantics/CompressionLossComparison.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1481 CompressionMaximization_compressionRatioPhysicalConstraint CompressionMaximization tools/lean/Semantics/Semantics/CompressionMaximization.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1482 CompressionMaximization_theoreticalLimitViolatesPhysicalConstraint CompressionMaximization tools/lean/Semantics/Semantics/CompressionMaximization.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1483 CompressionMechanics_MechanicalCompressionWitness CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1484 CompressionMechanics_summaryAligned CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1485 CompressionMechanics_contactOrderCovered CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1486 CompressionMechanics_actuationBudgeted CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1487 CompressionMechanics_workBudgeted CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1488 CompressionMechanics_mechanicallyAdmissible CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1489 CompressionMechanics_witnessOfCompression CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1490 CompressionMechanics_mechanicallyAdmissibleOfBounds CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1491 CompressionMechanics_positiveWorkOfIrreversibleCompression CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1492 CompressionMechanics_compressionContractsMechanicalOrder CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1493 CompressionMechanics_sampleMechanicalCompressionWitness CompressionMechanics tools/lean/Semantics/Semantics/CompressionMechanics.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1494 CompressionMechanicsBridge_SubstrateWitness CompressionMechanicsBridge tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean Lean ✅ LAYER_L_APPLICATION physical_bind 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tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1501 CompressionMechanicsBridge_resolvedSitesLeSupportBudget CompressionMechanicsBridge tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1502 CompressionMechanicsBridge_landauerCoveredBySubstrate CompressionMechanicsBridge tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1503 CompressionMechanicsBridge_compressionTracePhysicallyAdmissible CompressionMechanicsBridge tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1504 CompressionMechanicsBridge_sampleSubstrateWitness CompressionMechanicsBridge tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1505 Connectors_SpectralNorm Connectors tools/lean/Semantics/Semantics/Connectors.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1506 Connectors_isStable Connectors tools/lean/Semantics/Semantics/Connectors.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1507 ConservationTest_ConservationQuestion ConservationTest tools/lean/Semantics/Semantics/ConservationTest.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1508 ConservationTest_ConservationResult ConservationTest tools/lean/Semantics/Semantics/ConservationTest.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1509 ConservationTest_conservationQuizBank ConservationTest tools/lean/Semantics/Semantics/ConservationTest.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1510 ConservationTest_runConservationQuiz ConservationTest tools/lean/Semantics/Semantics/ConservationTest.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1511 ConservationTest_testTokenConservation ConservationTest tools/lean/Semantics/Semantics/ConservationTest.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1512 Constitution_no_motion_without_lawful_path Constitution tools/lean/Semantics/Semantics/Constitution.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1513 CooperativeLUT_wavefrontOp1D CooperativeLUT tools/lean/Semantics/Semantics/CooperativeLUT.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1514 CooperativeLUT_drakeConstant CooperativeLUT tools/lean/Semantics/Semantics/CooperativeLUT.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1515 CooperativeLUT_wavedArray CooperativeLUT tools/lean/Semantics/Semantics/CooperativeLUT.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1516 CooperativeLUT_wavefrontPreservesSize CooperativeLUT tools/lean/Semantics/Semantics/CooperativeLUT.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1517 CooperativeLUT_wavefrontPreservesManifold CooperativeLUT tools/lean/Semantics/Semantics/CooperativeLUT.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1518 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1519 ASCIIGen_ASCIIEncodingData ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 1520 ASCIIGen_analyzeASCIIEncoding ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 1521 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1522 AVMRInformation_shellEntropy AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1523 AVMRInformation_shellEntropyBound AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1524 AVMRInformation_degeneracy AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1525 AVMRInformation_totalCodons AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1526 AVMRInformation_avgDegeneracyCloseToE AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1527 AVMRProofs_3 AVMRProofs tools/lean/Semantics/Semantics/AVMRProofs.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1528 AVMRTheorems_proves AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1529 AVMRTheorems_tipCoordinateMassResonance AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1530 AVMRTheorems_fortyFiveLineFactorRevelation AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1531 AVMRTheorems_pronicFactorization AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1532 AVMRTheorems_fortyFiveLineIsGC AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1533 AVMRTheorems_missingLinkODE AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1534 AVMRTheorems_gradientFlowForm AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1535 AgenticHardware_AgentFrustrationWave AgenticHardware tools/lean/Semantics/Semantics/AgenticHardware.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1536 AgenticTheorems_assignmentRespectsCapabilities AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1537 AgenticTheorems_dependenciesRespected AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1538 AgenticTheorems_orchestrationTermination AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1539 AgenticTheorems_synergyImprovesPerformance AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1540 AgenticTheorems_agentFieldBounded AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1541 AgenticTheorems_loadPenaltyDecreasesField AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1542 AtomicResolution_compressionContractsAtomicResolution AtomicResolution tools/lean/Semantics/Semantics/AtomicResolution.lean Lean ✅ LAYER_I_ENCODING informational_bind 1543 Atoms_DiscreteSemanticState Atoms tools/lean/Semantics/Semantics/Atoms.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1544 Atoms_SemanticFrustrationWave Atoms tools/lean/Semantics/Semantics/Atoms.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1545 Atoms_updateSemanticStateFromGeometry Atoms tools/lean/Semantics/Semantics/Atoms.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1546 Atoms_updateSemanticStateFromChristoffel Atoms tools/lean/Semantics/Semantics/Atoms.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1547 Basic_BasicFrustrationWave Basic tools/lean/Semantics/Semantics/Basic.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1548 Bind_informationalBind Bind tools/lean/Semantics/Semantics/Bind.lean Lean ✅ LAYER_I_ENCODING informational_bind 1549 Bind_informationalBind_preservesLeft Bind tools/lean/Semantics/Semantics/Bind.lean Lean ✅ LAYER_I_ENCODING informational_bind 1550 Bind_informationalBind_preservesRight Bind tools/lean/Semantics/Semantics/Bind.lean Lean ✅ LAYER_I_ENCODING informational_bind 1551 Bind_InformationTheoreticConstraints Bind tools/lean/Semantics/Semantics/Bind.lean Lean ✅ LAYER_I_ENCODING informational_bind 1552 Bind_InformationTheoreticConstraints Bind tools/lean/Semantics/Semantics/Bind.lean Lean ✅ LAYER_I_ENCODING informational_bind 1553 BitcoinMetaprobe_filterBatch BitcoinMetaprobe tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1554 BitcoinRGFlow_bitcoinInformationalBind BitcoinRGFlow tools/lean/Semantics/Semantics/BitcoinRGFlow.lean Lean ✅ LAYER_I_ENCODING informational_bind 1555 BracketedCalculus_encode BracketedCalculus tools/lean/Semantics/Semantics/BracketedCalculus.lean Lean ✅ LAYER_I_ENCODING informational_bind 1556 CBFHardwareMetaprobe_clockFrequency CBFHardwareMetaprobe tools/lean/Semantics/Semantics/CBFHardwareMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1557 CanonSerialization_encodeU16BE CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_I_ENCODING informational_bind 1558 CanonSerialization_encodeU32BE CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_I_ENCODING informational_bind 1559 CanonSerialization_encodeU64BE CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_I_ENCODING informational_bind 1560 CanonSerialization_encodeNatBE CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_I_ENCODING informational_bind 1561 CanonSerialization_encodeText CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_I_ENCODING informational_bind 1562 CanonSerialization_FilteredField CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1563 CanonSerialization_FilterResult CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1564 CanonSerialization_FilterRule CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1565 CanonSerialization_applyFilters CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1566 CanonSerialization_filter_safe_no_adversarial_kept CanonSerialization tools/lean/Semantics/Semantics/CanonSerialization.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1567 CasimirMetaprobe_plasmaFrequency CasimirMetaprobe tools/lean/Semantics/Semantics/CasimirMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1568 ClassicalEuclideanGeometry_ThalesTheorem ClassicalEuclideanGeometry tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1569 ClassicalEuclideanGeometry_pythagoreanTheorem ClassicalEuclideanGeometry tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1570 ClassicalEuclideanGeometry_powerOfPointTheorem ClassicalEuclideanGeometry tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1571 ClassicalEuclideanGeometry_chordTheorem ClassicalEuclideanGeometry tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1572 ClassicalEuclideanGeometry_secantTangentTheorem ClassicalEuclideanGeometry tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1573 ClassicalEuclideanGeometry_euclidSecondTheorem ClassicalEuclideanGeometry tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1574 CompressionControl_ControlState CompressionControl tools/lean/Semantics/Semantics/CompressionControl.lean Lean ✅ LAYER_I_ENCODING informational_bind 1575 CompressionControl_confidenceThreshold CompressionControl tools/lean/Semantics/Semantics/CompressionControl.lean Lean ✅ LAYER_I_ENCODING informational_bind 1576 CompressionControl_redThreshold CompressionControl tools/lean/Semantics/Semantics/CompressionControl.lean Lean ✅ LAYER_I_ENCODING informational_bind 1577 CompressionControl_blueThreshold CompressionControl tools/lean/Semantics/Semantics/CompressionControl.lean Lean ✅ LAYER_I_ENCODING informational_bind 1578 CompressionControl_updateConfidence CompressionControl tools/lean/Semantics/Semantics/CompressionControl.lean Lean ✅ LAYER_I_ENCODING informational_bind 1579 AdaptiveFabric_CMYKState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1580 AdaptiveFabric_FabricState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1581 AdaptiveFabric_FabricConfig AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1582 AdaptiveFabric_step AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1583 AdaptiveFabric_state_determined_by_sluq AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1584 AdaptiveFabric_testConfig AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1585 AdaptiveFabric_initialState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1586 Bind_controlBind Bind tools/lean/Semantics/Semantics/Bind.lean Lean ✅ LAYER_F_CONTROL control_bind 1587 BoundaryDynamics_reconnectionPotentialOf BoundaryDynamics tools/lean/Semantics/Semantics/BoundaryDynamics.lean Lean ✅ LAYER_F_CONTROL control_bind 1588 BoundaryDynamics_explicitAliasDetected BoundaryDynamics tools/lean/Semantics/Semantics/BoundaryDynamics.lean Lean ✅ LAYER_F_CONTROL control_bind 1589 BoundaryDynamics_boundarySignatureOf BoundaryDynamics tools/lean/Semantics/Semantics/BoundaryDynamics.lean Lean ✅ LAYER_F_CONTROL control_bind 1590 BoundaryDynamics_classifyReconnectionMode BoundaryDynamics tools/lean/Semantics/Semantics/BoundaryDynamics.lean Lean ✅ LAYER_F_CONTROL control_bind 1591 BoundaryDynamics_classifyBoundaryStability BoundaryDynamics tools/lean/Semantics/Semantics/BoundaryDynamics.lean Lean ✅ LAYER_F_CONTROL control_bind 1592 BoundaryDynamics_classifyBoundaryFluidity BoundaryDynamics tools/lean/Semantics/Semantics/BoundaryDynamics.lean Lean ✅ LAYER_F_CONTROL control_bind 1593 BoundaryDynamics_effectivePermeability BoundaryDynamics tools/lean/Semantics/Semantics/BoundaryDynamics.lean Lean ✅ LAYER_F_CONTROL control_bind 1594 BoundaryDynamics_classifyBoundaryRegime BoundaryDynamics tools/lean/Semantics/Semantics/BoundaryDynamics.lean Lean ✅ LAYER_F_CONTROL control_bind 1595 BoundaryDynamics_classifyIntersectionFlow BoundaryDynamics tools/lean/Semantics/Semantics/BoundaryDynamics.lean Lean ✅ LAYER_F_CONTROL control_bind 1596 BoundaryDynamics_resolveBoundaryTransition BoundaryDynamics tools/lean/Semantics/Semantics/BoundaryDynamics.lean Lean ✅ LAYER_F_CONTROL control_bind 1597 BracketShellCount_ShellSystem BracketShellCount tools/lean/Semantics/Semantics/BracketShellCount.lean Lean ✅ LAYER_F_CONTROL control_bind 1598 BracketShellCount_computeSystemBracket BracketShellCount tools/lean/Semantics/Semantics/BracketShellCount.lean Lean ✅ LAYER_F_CONTROL control_bind 1599 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1600 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1601 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1602 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1603 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1604 AMMR_ammrStateFromTorsionalTile_usesTileInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1605 ASCIIArtCompetition_evaluateStyleClassification ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1606 ASCIIGen_ASCIIEncodingData ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 1607 ASCIIGen_analyzeASCIIEncoding ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 1608 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1609 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1610 ASICTopology_ASICTopologyEdge ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1611 ASICTopology_ASICTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1612 ASICTopology_rtl8126Topology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1613 ASICTopology_findNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1614 ASICTopology_findEdgesFrom ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1615 ASICTopology_geodesicDistance ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1616 AVMR_vectorField AVMR tools/lean/Semantics/Semantics/AVMR.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1617 AVMRFrameworkMetaprobe_potentialDerivative AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1618 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1619 AVMRInformation_shellEntropy AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1620 AVMRInformation_shellEntropyBound AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1621 AVMRInformation_degeneracy AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1622 AVMRInformation_totalCodons AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1623 AVMRInformation_avgDegeneracyCloseToE AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1624 AVMRProofs_3 AVMRProofs tools/lean/Semantics/Semantics/AVMRProofs.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1625 AVMRTheorems_proves AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1626 AVMRTheorems_tipCoordinateMassResonance AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1627 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1628 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1629 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1630 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1631 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1632 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1633 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1634 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1635 AMMR_ammrStateFromTorsionalTile_usesTileInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1636 ASCIIArtCompetition_evaluateStyleClassification ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1637 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1638 ASICTopology_checkOperationAdmissibility ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1639 ASICTopology_checkWorkloadAdmissibility ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1640 ASICTopology_asicOptimizedChecksum ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1641 ASICTopology_performASICOptimizedOperation ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1642 ASICTopology_asicOperationCost ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1643 ASICTopology_checkOperationAdmissibility_deterministic ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1644 AVMR_vectorField AVMR tools/lean/Semantics/Semantics/AVMR.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1645 AVMRFrameworkMetaprobe_normalizedCoordinate AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1646 AVMRFrameworkMetaprobe_potentialDerivative AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1647 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1648 Adaptation_FlowAudit Adaptation tools/lean/Semantics/Semantics/Adaptation.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1649 Adaptation_flowAuditLoop Adaptation tools/lean/Semantics/Semantics/Adaptation.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1650 Adaptation_flowAudit Adaptation tools/lean/Semantics/Semantics/Adaptation.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1651 AgenticHardware_AgentFrustrationWave AgenticHardware tools/lean/Semantics/Semantics/AgenticHardware.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1652 AgenticOrchestrationField_AgentFieldParams AgenticOrchestrationField tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1653 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1654 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1655 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1656 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1657 AMMR_ammrStateFromTorsionalTile_usesTileInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1658 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1659 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1660 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1661 ASICTopology_ASICTopologyEdge ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1662 ASICTopology_ASICTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1663 ASICTopology_rtl8126Topology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1664 ASICTopology_findNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1665 ASICTopology_findEdgesFrom ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1666 ASICTopology_geodesicDistance ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1667 ASICTopology_asicInputInvariant ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1668 ASICTopology_asicOutputInvariant ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1669 AVMR_vectorField AVMR tools/lean/Semantics/Semantics/AVMR.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1670 AVMRFrameworkMetaprobe_normalizedCoordinate AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1671 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1672 AVMRProofs_3 AVMRProofs tools/lean/Semantics/Semantics/AVMRProofs.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1673 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1674 AgenticHardware_AgentFrustrationWave AgenticHardware tools/lean/Semantics/Semantics/AgenticHardware.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1675 Atoms_SemanticFrustrationWave Atoms tools/lean/Semantics/Semantics/Atoms.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1676 Basic_BasicFrustrationWave Basic tools/lean/Semantics/Semantics/Basic.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1677 BitcoinMetaprobe_filterBatch BitcoinMetaprobe tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1678 BraidBracket_PhaseVec BraidBracket tools/lean/Semantics/Semantics/BraidBracket.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1679 BraidBracket_fromPhaseVec BraidBracket tools/lean/Semantics/Semantics/BraidBracket.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1680 BraidBracket_phaseAccumulation BraidBracket tools/lean/Semantics/Semantics/BraidBracket.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1681 BraidStrand_phaseAngle BraidStrand tools/lean/Semantics/Semantics/BraidStrand.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1682 CBFHardwareMetaprobe_clockFrequency CBFHardwareMetaprobe tools/lean/Semantics/Semantics/CBFHardwareMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1683 AMMR_WitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1684 AMMR_defaultWitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1685 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1686 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1687 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1688 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1689 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1690 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1691 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1692 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1693 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1694 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1695 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1696 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1697 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1698 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1699 AMMR_ammrStateFromTorsionalTile_usesTileInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1700 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1701 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1702 ASICTopology_checkOperationAdmissibility ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1703 ASICTopology_performASICOptimizedOperation ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1704 ASICTopology_asicOperationCost ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1705 ASICTopology_checkOperationAdmissibility_deterministic ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1706 AVMRFrameworkMetaprobe_potentialDerivative AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1707 AVMRProofs_3 AVMRProofs tools/lean/Semantics/Semantics/AVMRProofs.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1708 AVMRTheorems_proves AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1709 AVMRTheorems_tipCoordinateMassResonance AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1710 AVMRTheorems_fortyFiveLineFactorRevelation AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1711 AdaptiveFabric_CMYKState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1712 AdaptiveFabric_FabricState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1713 AdaptiveFabric_FabricConfig AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1714 AdaptiveFabric_step AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1715 AdaptiveFabric_state_determined_by_sluq AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1716 AMMR_WitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1717 AMMR_defaultWitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1718 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1719 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1720 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1721 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1722 AMMR_verdictAllowsRoute AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1723 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1724 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1725 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1726 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1727 AMMR_ammrStateFromTorsionalTile_usesTileInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1728 ASCIIArtCompetition_evaluateStyleClassification ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1729 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1730 ASCIIGen_asciiArtDatabase ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_B_ROUTING informational_bind 1731 ASCIIGen_ASCIIEncodingData ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_B_ROUTING informational_bind 1732 ASCIIGen_analyzeASCIIEncoding ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 1733 ASCIIGen_ASCIIDataAccumulator ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_B_ROUTING informational_bind 1734 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1735 ASICTopology_checkOperationAdmissibility ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1736 ASICTopology_performASICOptimizedOperation ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1737 ASICTopology_asicOperationCost ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1738 AVMR_vectorField AVMR tools/lean/Semantics/Semantics/AVMR.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1739 AVMRFrameworkMetaprobe_normalizedCoordinate AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1740 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1741 AVMRInformation_shellEntropy AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1742 AVMRInformation_shellEntropyBound AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1743 AVMRInformation_degeneracy AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1744 AVMRInformation_totalCodons AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1745 AVMRInformation_avgDegeneracyCloseToE AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1746 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1747 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1748 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1749 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1750 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1751 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1752 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1753 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1754 AMMR_ammrStateFromTorsionalTile_usesTileInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1755 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1756 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1757 ASICTopology_ASICTopologyEdge ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1758 ASICTopology_ASICTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1759 ASICTopology_rtl8126Topology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1760 ASICTopology_findNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1761 ASICTopology_findEdgesFrom ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1762 ASICTopology_geodesicDistance ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1763 ASICTopology_ASICOptimalPath ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1764 AVMRFrameworkMetaprobe_potentialDerivative AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1765 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1766 AVMRTheorems_gradientFlowForm AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1767 Adaptation_FlowAudit Adaptation tools/lean/Semantics/Semantics/Adaptation.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1768 Adaptation_flowAuditLoop Adaptation tools/lean/Semantics/Semantics/Adaptation.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1769 Adaptation_flowAudit Adaptation tools/lean/Semantics/Semantics/Adaptation.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1770 AdaptiveFabric_CMYKState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1771 AdaptiveFabric_FabricState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1772 AdaptiveFabric_FabricConfig AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1773 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1774 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1775 AVMRProofs_3 AVMRProofs tools/lean/Semantics/Semantics/AVMRProofs.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1776 AVMRTheorems_proves AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1777 AVMRTheorems_tipCoordinateMassResonance AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1778 AVMRTheorems_fortyFiveLineFactorRevelation AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1779 AVMRTheorems_pronicFactorization AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1780 AVMRTheorems_fortyFiveLineIsGC AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1781 AVMRTheorems_missingLinkODE AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1782 AVMRTheorems_gradientFlowForm AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1783 AgenticTheorems_assignmentRespectsCapabilities AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1784 AgenticTheorems_dependenciesRespected AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1785 AngrySphinxPolicy_enforceAngrySphinxGate AngrySphinxPolicy tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1786 Bind_physicalBind Bind tools/lean/Semantics/Semantics/Bind.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1787 BracketShellCount_ShellSystem BracketShellCount tools/lean/Semantics/Semantics/BracketShellCount.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1788 BracketShellCount_computeSystemBracket BracketShellCount tools/lean/Semantics/Semantics/BracketShellCount.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1789 BracketShellCount_nuclearShellSystem BracketShellCount tools/lean/Semantics/Semantics/BracketShellCount.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1790 BracketShellCount_systemAdmissibleIff BracketShellCount tools/lean/Semantics/Semantics/BracketShellCount.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1791 CasimirMetaprobe_parallelPlateForcePerArea CasimirMetaprobe tools/lean/Semantics/Semantics/CasimirMetaprobe.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1792 CasimirMetaprobe_thermalCasimirForce CasimirMetaprobe tools/lean/Semantics/Semantics/CasimirMetaprobe.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1793 ASICTopology_Workload ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 1794 ASICTopology_checkWorkloadAdmissibility ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 1795 ASICTopology_projectWorkloadToTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 1796 AVMRFrameworkMetaprobe_boltzmannK AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 1797 AVMRFrameworkMetaprobe_temperature AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 1798 AVMRFrameworkMetaprobe_massProduct AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 1799 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1800 AdaptiveFabric_CMYKState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1801 AdaptiveFabric_FabricState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1802 AdaptiveFabric_FabricConfig AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1803 AdaptiveFabric_step AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1804 AdaptiveFabric_state_determined_by_sluq AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1805 AdaptiveFabric_testConfig AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1806 AgenticHardware_AgentFrustrationWave AgenticHardware tools/lean/Semantics/Semantics/AgenticHardware.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1807 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1808 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1809 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1810 AMMR_verdictAllowsRoute AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1811 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1812 ASCIIGen_asciiArtDatabase ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_B_ROUTING informational_bind 1813 ASCIIGen_ASCIIEncodingData ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 1814 ASCIIGen_analyzeASCIIEncoding ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 1815 ASCIIGen_ASCIIDataAccumulator ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_B_ROUTING informational_bind 1816 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1817 ASICTopology_checkOperationAdmissibility ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1818 ASICTopology_performASICOptimizedOperation ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1819 ASICTopology_asicOperationCost ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1820 ASICTopology_checkOperationAdmissibility_deterministic ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1821 AVMR_vectorField AVMR tools/lean/Semantics/Semantics/AVMR.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1822 AVMRFrameworkMetaprobe_normalizedCoordinate AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1823 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1824 AVMRInformation_shellEntropy AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1825 AVMRInformation_shellEntropyBound AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1826 AVMRInformation_degeneracy AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1827 AVMRInformation_totalCodons AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1828 AVMRInformation_avgDegeneracyCloseToE AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1829 AgenticHardware_AgentFrustrationWave AgenticHardware tools/lean/Semantics/Semantics/AgenticHardware.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1830 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1831 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1832 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1833 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1834 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1835 AMMR_ammrStateFromTorsionalTile_usesTileInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1836 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 1837 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 1838 ASICTopology_ASICTopologyEdge ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 1839 ASICTopology_ASICTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 1840 ASICTopology_rtl8126Topology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 1841 ASICTopology_findNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 1842 AMMR_WitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1843 AMMR_defaultWitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1844 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1845 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1846 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1847 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1848 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1849 ASICTopology_Workload ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 1850 ASICTopology_projectWorkloadToTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 1851 AVMRFrameworkMetaprobe_boltzmannK AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 1852 AVMRFrameworkMetaprobe_temperature AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 1853 AVMRFrameworkMetaprobe_massProduct AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 1854 AVMRFrameworkMetaprobe_massProductQ16 AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 1855 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1856 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1857 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1858 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1859 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1860 ASCIIGen_ASCIIEncodingData ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 1861 ASCIIGen_analyzeASCIIEncoding ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 1862 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1863 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1864 ASICTopology_ASICTopologyEdge ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1865 ASICTopology_ASICTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1866 ASICTopology_rtl8126Topology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1867 ASICTopology_findNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1868 ASICTopology_findEdgesFrom ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1869 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1870 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1871 AgenticHardware_AgentFrustrationWave AgenticHardware tools/lean/Semantics/Semantics/AgenticHardware.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1872 AngrySphinxPolicy_enforceAngrySphinxGate AngrySphinxPolicy tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1873 Atoms_SemanticFrustrationWave Atoms tools/lean/Semantics/Semantics/Atoms.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1874 Basic_BasicFrustrationWave Basic tools/lean/Semantics/Semantics/Basic.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1875 Bind_physicalBind Bind tools/lean/Semantics/Semantics/Bind.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1876 BitcoinMetaprobe_filterBatch BitcoinMetaprobe tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1877 BracketShellCount_ShellSystem BracketShellCount tools/lean/Semantics/Semantics/BracketShellCount.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1878 BracketShellCount_computeSystemBracket BracketShellCount tools/lean/Semantics/Semantics/BracketShellCount.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1879 BracketShellCount_nuclearShellSystem BracketShellCount tools/lean/Semantics/Semantics/BracketShellCount.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1880 BracketShellCount_systemAdmissibleIff BracketShellCount tools/lean/Semantics/Semantics/BracketShellCount.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1881 BraidBracket_PhaseVec BraidBracket tools/lean/Semantics/Semantics/BraidBracket.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1882 BraidBracket_fromPhaseVec BraidBracket tools/lean/Semantics/Semantics/BraidBracket.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1883 BraidBracket_phaseAccumulation BraidBracket tools/lean/Semantics/Semantics/BraidBracket.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1884 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1885 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1886 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1887 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1888 AMMR_verdictAllowsRoute AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1889 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1890 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1891 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1892 AMMR_ammrStateFromTorsionalTile_usesTileInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1893 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1894 ASCIIGen_analyzeASCIIEncoding ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 1895 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 1896 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 1897 ASICTopology_ASICTopologyEdge ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 1898 ASICTopology_ASICTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 1899 ASICTopology_rtl8126Topology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 1900 AMMR_WitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1901 AMMR_defaultWitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1902 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1903 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1904 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1905 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1906 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1907 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1908 ASCIIGen_ASCIIEncodingData ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 1909 ASCIIGen_analyzeASCIIEncoding ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 1910 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1911 ASICTopology_performASICOptimizedOperation ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1912 ASICTopology_asicOperationCost ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1913 AVMR_vectorField AVMR tools/lean/Semantics/Semantics/AVMR.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1914 AVMRFrameworkMetaprobe_normalizedCoordinate AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1915 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1916 AVMRInformation_shellEntropy AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1917 AVMRInformation_shellEntropyBound AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1918 AVMRInformation_degeneracy AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1919 AVMRInformation_totalCodons AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 1920 AdaptiveFabric_CMYKState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1921 AdaptiveFabric_FabricState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1922 AdaptiveFabric_FabricConfig AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1923 AdaptiveFabric_step AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1924 AdaptiveFabric_state_determined_by_sluq AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1925 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1926 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1927 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1928 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1929 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1930 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1931 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1932 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1933 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1934 ASICTopology_Workload ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 1935 ASICTopology_checkWorkloadAdmissibility ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 1936 ASICTopology_projectWorkloadToTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 1937 AVMRFrameworkMetaprobe_boltzmannK AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 1938 AVMRProofs_3 AVMRProofs tools/lean/Semantics/Semantics/AVMRProofs.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1939 AVMRTheorems_proves AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1940 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1941 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1942 AdaptiveFabric_CMYKState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1943 AdaptiveFabric_FabricState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1944 AdaptiveFabric_FabricConfig AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1945 AdaptiveFabric_step AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1946 AgenticHardware_AgentFrustrationWave AgenticHardware tools/lean/Semantics/Semantics/AgenticHardware.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1947 AngrySphinxPolicy_enforceAngrySphinxGate AngrySphinxPolicy tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1948 Atoms_SemanticFrustrationWave Atoms tools/lean/Semantics/Semantics/Atoms.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1949 Basic_BasicFrustrationWave Basic tools/lean/Semantics/Semantics/Basic.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1950 Bind_physicalBind Bind tools/lean/Semantics/Semantics/Bind.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1951 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1952 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1953 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1954 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1955 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1956 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1957 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1958 ASICTopology_ASICTopologyEdge ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 1959 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 1960 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 1961 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 1962 ASICTopology_ASICTopologyEdge ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 1963 ASICTopology_ASICTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 1964 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1965 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1966 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1967 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1968 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 1969 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1970 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1971 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 1972 ASCIIGen_ASCIIEncodingData ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 1973 ASCIIGen_analyzeASCIIEncoding ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 1974 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1975 ASICTopology_Workload ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 1976 ASICTopology_checkOperationAdmissibility ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1977 ASICTopology_checkWorkloadAdmissibility ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 1978 ASICTopology_projectWorkloadToTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 1979 ASICTopology_performASICOptimizedOperation ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1980 ASICTopology_asicOperationCost ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 1981 AVMRFrameworkMetaprobe_boltzmannK AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 1982 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1983 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1984 AdaptiveFabric_CMYKState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1985 AdaptiveFabric_FabricState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1986 AdaptiveFabric_FabricConfig AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 1987 AgenticHardware_AgentFrustrationWave AgenticHardware tools/lean/Semantics/Semantics/AgenticHardware.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1988 AngrySphinxPolicy_enforceAngrySphinxGate AngrySphinxPolicy tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1989 Atoms_SemanticFrustrationWave Atoms tools/lean/Semantics/Semantics/Atoms.lean Lean ✅ LAYER_K_SIGNAL signal_bind 1990 Bind_physicalBind Bind tools/lean/Semantics/Semantics/Bind.lean Lean ✅ LAYER_L_APPLICATION physical_bind 1991 AMMR_WitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1992 AMMR_defaultWitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1993 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1994 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1995 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1996 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1997 AMMR_verdictAllowsRoute AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 1998 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 1999 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2000 ASCIIGen_analyzeASCIIEncoding ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 2001 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2002 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2003 ASICTopology_ASICTopologyEdge ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2004 ASICTopology_ASICTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2005 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2006 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2007 ASICTopology_checkOperationAdmissibility ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2008 ASICTopology_performASICOptimizedOperation ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2009 ASICTopology_asicOperationCost ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2010 AVMRProofs_3 AVMRProofs tools/lean/Semantics/Semantics/AVMRProofs.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2011 AVMRTheorems_proves AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2012 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2013 ASCIIGen_ASCIIEncodingData ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 2014 ASCIIGen_analyzeASCIIEncoding ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 2015 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2016 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2017 ASICTopology_ASICTopologyEdge ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2018 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2019 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2020 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2021 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2022 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2023 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2024 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2025 ASICTopology_Workload ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2026 ASICTopology_checkWorkloadAdmissibility ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2027 ASICTopology_projectWorkloadToTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2028 AMMR_WitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2029 AMMR_defaultWitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2030 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2031 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2032 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2033 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2034 AMMR_verdictAllowsRoute AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2035 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2036 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2037 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2038 ASCIIGen_analyzeASCIIEncoding ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 2039 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2040 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2041 ASICTopology_ASICTopologyEdge ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2042 ASICTopology_ASICTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2043 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2044 ASCIIGen_ASCIIEncodingData ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 2045 ASCIIGen_analyzeASCIIEncoding ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 2046 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2047 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2048 ASICTopology_ASICTopologyEdge ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2049 ASICTopology_ASICTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2050 ASICTopology_rtl8126Topology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2051 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2052 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2053 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2054 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2055 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2056 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2057 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2058 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2059 AMMR_ammrStateFromTorsionalTile_usesTileInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2060 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2061 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2062 ASICTopology_Workload ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2063 ASICTopology_checkOperationAdmissibility ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2064 ASICTopology_checkWorkloadAdmissibility ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2065 ASICTopology_projectWorkloadToTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2066 ASICTopology_performASICOptimizedOperation ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2067 ASICTopology_asicOperationCost ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2068 ASICTopology_checkOperationAdmissibility_deterministic ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2069 AVMRFrameworkMetaprobe_boltzmannK AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2070 AVMRFrameworkMetaprobe_temperature AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2071 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2072 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2073 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2074 ASCIIGen_ASCIIEncodingData ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 2075 ASCIIGen_analyzeASCIIEncoding ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 2076 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2077 AVMRInformation_shellEntropy AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 2078 AVMRInformation_shellEntropyBound AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 2079 AVMRInformation_degeneracy AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 2080 AVMRInformation_totalCodons AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 2081 AVMRInformation_avgDegeneracyCloseToE AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 2082 AVMRProofs_3 AVMRProofs tools/lean/Semantics/Semantics/AVMRProofs.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2083 AVMRTheorems_proves AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2084 AVMRTheorems_tipCoordinateMassResonance AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2085 AVMRTheorems_fortyFiveLineFactorRevelation AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2086 AVMRTheorems_pronicFactorization AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2087 AVMRTheorems_fortyFiveLineIsGC AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2088 AdaptiveFabric_CMYKState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2089 AdaptiveFabric_FabricState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2090 AdaptiveFabric_FabricConfig AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2091 AdaptiveFabric_step AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2092 AdaptiveFabric_state_determined_by_sluq AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2093 AdaptiveFabric_testConfig AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2094 AdaptiveFabric_initialState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2096 AngrySphinxPolicy_enforceAngrySphinxGate AngrySphinxPolicy tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2097 AMMR_WitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2098 AMMR_defaultWitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2099 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2100 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2101 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2102 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2103 AMMR_verdictAllowsRoute AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2104 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2105 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2106 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2107 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2108 AMMR_ammrStateFromTorsionalTile_usesTileInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2109 ASCIIGen_asciiArtDatabase ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_B_ROUTING informational_bind 2110 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2111 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2112 ASICTopology_ASICTopologyEdge ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2113 ASICTopology_ASICTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2114 ASICTopology_rtl8126Topology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2115 ASICTopology_findNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2116 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2117 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2118 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2119 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2120 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2121 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2122 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2123 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2124 AMMR_ammrStateFromTorsionalTile_usesTileInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2125 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2126 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2127 ASICTopology_ASICTopologyEdge ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2128 ASICTopology_ASICTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2129 ASICTopology_rtl8126Topology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2130 ASICTopology_findNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2131 ASICTopology_findEdgesFrom ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2132 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2133 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2135 ASICTopology_checkOperationAdmissibility ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2138 ASICTopology_performASICOptimizedOperation ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2139 ASICTopology_asicOperationCost ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2140 ASICTopology_checkOperationAdmissibility_deterministic ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2141 AVMR_vectorField AVMR tools/lean/Semantics/Semantics/AVMR.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2142 AVMRFrameworkMetaprobe_boltzmannK AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2143 AVMRFrameworkMetaprobe_temperature AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2144 AVMRFrameworkMetaprobe_massProduct AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2145 AVMRFrameworkMetaprobe_massProductQ16 AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2146 AVMRFrameworkMetaprobe_widthConstraint AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2147 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2148 AdaptiveFabric_CMYKState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2149 AdaptiveFabric_FabricState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2150 AdaptiveFabric_FabricConfig AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2151 AdaptiveFabric_step AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2152 AdaptiveFabric_state_determined_by_sluq AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2153 AdaptiveFabric_testConfig AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2154 AdaptiveFabric_initialState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2156 AgenticOrchestrationField_AgentFieldParams AgenticOrchestrationField tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2157 AgenticOrchestrationField_CoordinationParams AgenticOrchestrationField tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2158 AMMR_WitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2159 AMMR_defaultWitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2160 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2161 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2162 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2163 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2164 AMMR_verdictAllowsRoute AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2165 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2166 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2167 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2168 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2169 AMMR_ammrStateFromTorsionalTile_usesTileInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2170 ASCIIArtCompetition_evaluateStyleClassification ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2171 ASCIIGen_asciiArtDatabase ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_B_ROUTING informational_bind 2172 ASCIIGen_ASCIIEncodingData ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_B_ROUTING informational_bind 2173 ASCIIGen_analyzeASCIIEncoding ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 2174 ASCIIGen_ASCIIDataAccumulator ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_B_ROUTING informational_bind 2175 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2176 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2177 ASICTopology_ASICTopologyEdge ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2178 ASICTopology_ASICTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2179 ASICTopology_rtl8126Topology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2180 ASICTopology_findNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2181 ASICTopology_findEdgesFrom ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2182 ASICTopology_geodesicDistance ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2183 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2184 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2185 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2186 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2187 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2188 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2189 AVMRFrameworkMetaprobe_potentialDerivative AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2190 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2191 AVMRProofs_3 AVMRProofs tools/lean/Semantics/Semantics/AVMRProofs.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2192 AVMRTheorems_proves AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2193 AVMRTheorems_tipCoordinateMassResonance AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2194 AVMRTheorems_fortyFiveLineFactorRevelation AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2195 AVMRTheorems_pronicFactorization AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2196 AVMRTheorems_fortyFiveLineIsGC AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2197 AVMRTheorems_missingLinkODE AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2198 AVMRTheorems_gradientFlowForm AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2199 Adaptation_FlowAudit Adaptation tools/lean/Semantics/Semantics/Adaptation.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2200 Adaptation_flowAuditLoop Adaptation tools/lean/Semantics/Semantics/Adaptation.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2201 Adaptation_flowAudit Adaptation tools/lean/Semantics/Semantics/Adaptation.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2203 AgenticTheorems_assignmentRespectsCapabilities AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2204 AgenticTheorems_dependenciesRespected AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2205 AngrySphinxPolicy_enforceAngrySphinxGate AngrySphinxPolicy tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2209 BitcoinMetaprobe_filterBatch BitcoinMetaprobe tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2210 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2211 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2212 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2213 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2214 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2215 AMMR_ammrStateFromTorsionalTile_usesTileInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2216 ASCIIGen_ASCIIEncodingData ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 2217 ASCIIGen_analyzeASCIIEncoding ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 2218 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2219 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2220 ASICTopology_ASICTopologyEdge ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2221 ASICTopology_ASICTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2222 ASICTopology_rtl8126Topology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2223 ASICTopology_findNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2224 ASICTopology_findEdgesFrom ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2225 AVMR_vectorField AVMR tools/lean/Semantics/Semantics/AVMR.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2226 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2227 ASCIIGen_ASCIIEncodingData ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 2228 ASCIIGen_analyzeASCIIEncoding ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 2229 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2231 ASICTopology_checkOperationAdmissibility ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2234 ASICTopology_performASICOptimizedOperation ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2235 ASICTopology_asicOperationCost ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2236 ASICTopology_checkOperationAdmissibility_deterministic ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2237 AVMR_vectorField AVMR tools/lean/Semantics/Semantics/AVMR.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2238 AVMRFrameworkMetaprobe_boltzmannK AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2239 AVMRFrameworkMetaprobe_temperature AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2240 AVMRFrameworkMetaprobe_massProduct AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2241 AVMRFrameworkMetaprobe_massProductQ16 AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2242 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2243 AVMRInformation_degeneracy AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 2244 AVMRInformation_totalCodons AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 2245 AVMRInformation_avgDegeneracyCloseToE AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 2246 AdaptiveFabric_CMYKState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2247 AdaptiveFabric_FabricState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2248 AdaptiveFabric_FabricConfig AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2249 AdaptiveFabric_step AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2250 AdaptiveFabric_state_determined_by_sluq AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2251 AdaptiveFabric_testConfig AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2252 AdaptiveFabric_initialState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2253 AMMR_WitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2254 AMMR_defaultWitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2255 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2256 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2257 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2258 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2259 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2260 AMMR_ammrStateFromTorsionalTile_usesTileInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2261 ASCIIArtCompetition_evaluateStyleClassification ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2262 ASICTopology_checkOperationAdmissibility ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2263 ASICTopology_checkWorkloadAdmissibility ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2264 ASICTopology_asicOptimizedChecksum ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2265 ASICTopology_asicInputInvariant ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2266 ASICTopology_asicOutputInvariant ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2267 ASICTopology_checkOperationAdmissibility_deterministic ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2268 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2269 AVMRProofs_3 AVMRProofs tools/lean/Semantics/Semantics/AVMRProofs.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2270 AVMRTheorems_proves AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2271 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2272 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2273 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2274 AMMR_verdictAllowsRoute AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2275 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2276 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2277 ASCIIGen_asciiArtDatabase ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_B_ROUTING informational_bind 2278 ASCIIGen_ASCIIEncodingData ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_B_ROUTING informational_bind 2279 ASCIIGen_analyzeASCIIEncoding ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 2280 ASCIIGen_ASCIIDataAccumulator ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_B_ROUTING informational_bind 2281 ASCIIGen_emptyASCIIDataAccumulator ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_B_ROUTING informational_bind 2282 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2283 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2284 ASICTopology_ASICTopologyEdge ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2285 ASICTopology_ASICTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2286 ASICTopology_rtl8126Topology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2287 ASICTopology_findNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2288 ASICTopology_findEdgesFrom ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2289 ASICTopology_geodesicDistance ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2290 ASICTopology_Workload ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2291 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2292 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2293 ASCIIGen_ASCIIEncodingData ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 2294 ASCIIGen_analyzeASCIIEncoding ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 2295 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2298 AVMRInformation_degeneracy AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 2299 AVMRInformation_totalCodons AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 2300 AVMRInformation_avgDegeneracyCloseToE AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_I_ENCODING informational_bind 2301 AVMRProofs_3 AVMRProofs tools/lean/Semantics/Semantics/AVMRProofs.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2302 AVMRTheorems_proves AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2303 AVMRTheorems_tipCoordinateMassResonance AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2304 AVMRTheorems_fortyFiveLineFactorRevelation AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2305 AVMRTheorems_pronicFactorization AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2306 AVMRTheorems_fortyFiveLineIsGC AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2307 AVMRTheorems_missingLinkODE AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2308 AVMRTheorems_gradientFlowForm AVMRTheorems tools/lean/Semantics/Semantics/AVMRTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2309 AdaptiveFabric_CMYKState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2310 AdaptiveFabric_FabricState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2311 AdaptiveFabric_FabricConfig AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2312 AdaptiveFabric_step AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2313 AdaptiveFabric_state_determined_by_sluq AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2314 AdaptiveFabric_testConfig AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2315 AdaptiveFabric_initialState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2317 AgenticTheorems_assignmentRespectsCapabilities AgenticTheorems tools/lean/Semantics/Semantics/AgenticTheorems.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2318 AngrySphinxPolicy_enforceAngrySphinxGate AngrySphinxPolicy tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2319 AtomicResolution_compressionContractsAtomicResolution AtomicResolution tools/lean/Semantics/Semantics/AtomicResolution.lean Lean ✅ LAYER_A_COMPRESSION informational_bind 2322 Bind_informationalBind Bind tools/lean/Semantics/Semantics/Bind.lean Lean ✅ LAYER_I_ENCODING informational_bind 2324 Bind_controlBind Bind tools/lean/Semantics/Semantics/Bind.lean Lean ✅ LAYER_F_CONTROL control_bind 2325 Bind_informationalBind_preservesLeft Bind tools/lean/Semantics/Semantics/Bind.lean Lean ✅ LAYER_I_ENCODING informational_bind 2326 Bind_informationalBind_preservesRight Bind tools/lean/Semantics/Semantics/Bind.lean Lean ✅ LAYER_I_ENCODING informational_bind 2327 Bind_InformationTheoreticConstraints Bind tools/lean/Semantics/Semantics/Bind.lean Lean ✅ LAYER_I_ENCODING informational_bind 2328 Bind_InformationTheoreticConstraints Bind tools/lean/Semantics/Semantics/Bind.lean Lean ✅ LAYER_I_ENCODING informational_bind 2329 BitcoinMetaprobe_filterBatch BitcoinMetaprobe tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2330 BoundaryDynamics_reconnectionPotentialOf BoundaryDynamics tools/lean/Semantics/Semantics/BoundaryDynamics.lean Lean ✅ LAYER_F_CONTROL control_bind 2331 BoundaryDynamics_explicitAliasDetected BoundaryDynamics tools/lean/Semantics/Semantics/BoundaryDynamics.lean Lean ✅ LAYER_F_CONTROL control_bind 2332 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2333 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2334 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2335 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2336 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2337 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2338 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2339 ASICTopology_ASICTopologyEdge ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2340 ASICTopology_ASICTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2341 ASICTopology_rtl8126Topology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2342 ASICTopology_findNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2343 ASICTopology_findEdgesFrom ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2344 ASICTopology_geodesicDistance ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2345 AVMR_vectorField AVMR tools/lean/Semantics/Semantics/AVMR.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2346 AVMRFrameworkMetaprobe_boltzmannK AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2347 AVMRFrameworkMetaprobe_temperature AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2348 AVMRFrameworkMetaprobe_massProduct AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2349 AVMRFrameworkMetaprobe_massProductQ16 AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2350 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2351 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2352 ASICTopology_checkOperationAdmissibility ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2353 ASICTopology_performASICOptimizedOperation ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2354 ASICTopology_asicOperationCost ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2355 ASICTopology_checkOperationAdmissibility_deterministic ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2356 AVMR_vectorField AVMR tools/lean/Semantics/Semantics/AVMR.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2357 AVMRFrameworkMetaprobe_normalizedCoordinate AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2358 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2361 AgenticHardware_AgentFrustrationWave AgenticHardware tools/lean/Semantics/Semantics/AgenticHardware.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2362 AgenticOrchestrationField_AgentFieldParams AgenticOrchestrationField tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2363 AgenticOrchestrationField_CoordinationParams AgenticOrchestrationField tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean Lean ✅ LAYER_H_ALGEBRA algebraic_bind 2364 AngrySphinxPolicy_enforceAngrySphinxGate AngrySphinxPolicy tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2365 AtomicResolution_compressionContractsAtomicResolution AtomicResolution tools/lean/Semantics/Semantics/AtomicResolution.lean Lean ✅ LAYER_A_COMPRESSION informational_bind 2366 Atoms_SemanticFrustrationWave Atoms tools/lean/Semantics/Semantics/Atoms.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2367 Basic_BasicFrustrationWave Basic tools/lean/Semantics/Semantics/Basic.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2368 Bind_physicalBind Bind tools/lean/Semantics/Semantics/Bind.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2369 BitcoinMetaprobe_filterBatch BitcoinMetaprobe tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2370 BracketShellCount_ShellSystem BracketShellCount tools/lean/Semantics/Semantics/BracketShellCount.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2371 BracketShellCount_computeSystemBracket BracketShellCount tools/lean/Semantics/Semantics/BracketShellCount.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2372 BracketShellCount_nuclearShellSystem BracketShellCount tools/lean/Semantics/Semantics/BracketShellCount.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2373 BracketShellCount_systemAdmissibleIff BracketShellCount tools/lean/Semantics/Semantics/BracketShellCount.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2374 BracketedCalculus_encode BracketedCalculus tools/lean/Semantics/Semantics/BracketedCalculus.lean Lean ✅ LAYER_A_COMPRESSION informational_bind 2375 BraidBracket_PhaseVec BraidBracket tools/lean/Semantics/Semantics/BraidBracket.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2376 BraidBracket_fromPhaseVec BraidBracket tools/lean/Semantics/Semantics/BraidBracket.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2377 BraidBracket_phaseAccumulation BraidBracket tools/lean/Semantics/Semantics/BraidBracket.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2378 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2379 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2380 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2381 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2382 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2383 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2384 AMMR_rgflowStrip_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2385 AMMR_quaternionReductionUpdate_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2386 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2387 AgenticHardware_AgentFrustrationWave AgenticHardware tools/lean/Semantics/Semantics/AgenticHardware.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2388 AngrySphinxPolicy_enforceAngrySphinxGate AngrySphinxPolicy tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2389 Atoms_SemanticFrustrationWave Atoms tools/lean/Semantics/Semantics/Atoms.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2390 Basic_BasicFrustrationWave Basic tools/lean/Semantics/Semantics/Basic.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2391 Bind_physicalBind Bind tools/lean/Semantics/Semantics/Bind.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2392 AMMR_WitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2393 AMMR_defaultWitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2394 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2395 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2396 ASICTopology_Workload ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2397 ASICTopology_projectWorkloadToTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2398 AVMRFrameworkMetaprobe_boltzmannK AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2399 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2400 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2401 AMMR_rgflowStripLawful AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_B_ROUTING informational_bind 2402 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2403 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2404 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2405 ASICTopology_ASICTopologyEdge ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_BRAID geometric_bind 2406 AMMR_quaternionMotion AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2407 AVMRFrameworkMetaprobe_spectralWeight AVMRFrameworkMetaprobe tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2408 AVMRInformation_shellEntropy AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_A_COMPRESSION informational_bind 2409 AVMRInformation_shellEntropyBound AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_A_COMPRESSION informational_bind 2410 AgenticHardware_AgentFrustrationWave AgenticHardware tools/lean/Semantics/Semantics/AgenticHardware.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2411 AngrySphinxPolicy_enforceAngrySphinxGate AngrySphinxPolicy tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2412 AtomicResolution_compressionContractsAtomicResolution AtomicResolution tools/lean/Semantics/Semantics/AtomicResolution.lean Lean ✅ LAYER_A_COMPRESSION informational_bind 2413 Atoms_SemanticFrustrationWave Atoms tools/lean/Semantics/Semantics/Atoms.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2414 Basic_BasicFrustrationWave Basic tools/lean/Semantics/Semantics/Basic.lean Lean ✅ LAYER_K_SIGNAL signal_bind 2415 Bind_physicalBind Bind tools/lean/Semantics/Semantics/Bind.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2416 BracketShellCount_ShellSystem BracketShellCount tools/lean/Semantics/Semantics/BracketShellCount.lean Lean ✅ LAYER_L_APPLICATION physical_bind 2417 AMMR_invariantOf AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2418 AMMR_rgflowStrip AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2419 AMMR_rgflowStripRetainedChannels AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_J_DYNAMICS control_bind 2420 AMMR_projectK_preservesInvariant AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_D_INVARIANTS state_bind 2421 ASICTopology_CapabilityVector ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2422 ASICTopology_ASICTopologyNode ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 2423 AMMR_WitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2424 AMMR_defaultWitnessRoot AMMR tools/lean/Semantics/Semantics/AMMR.lean Lean ✅ LAYER_E_VERIFICATION metric_bind 2425 ASCIIArtCompetition_evaluateSemanticSimilarity ASCIIArtCompetition tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean Lean ✅ LAYER_M_LEAN_SEMANTICS logic_bind 2426 ASCIIGen_ASCIIEncodingData ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 2427 ASCIIGen_analyzeASCIIEncoding ASCIIGen tools/lean/Semantics/Semantics/ASCIIGen.lean Lean ✅ LAYER_I_ENCODING informational_bind 2428 ASICTopology_Workload ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2429 ASICTopology_projectWorkloadToTopology ASICTopology tools/lean/Semantics/Semantics/ASICTopology.lean Lean ✅ LAYER_G_ENERGY thermodynamic_bind 2430 AVMRInformation_shellEntropy AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_A_COMPRESSION informational_bind 2431 AVMRInformation_shellEntropyBound AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_A_COMPRESSION informational_bind 2432 AdaptiveFabric_CMYKState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 2433 AdaptiveFabric_FabricState AdaptiveFabric tools/lean/Semantics/Semantics/AdaptiveFabric.lean Lean ✅ LAYER_F_CONTROL control_bind 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 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 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 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 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 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 2440 AVMRInformation_shellEntropy AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_A_COMPRESSION informational_bind 2441 AVMRInformation_shellEntropyBound AVMRInformation tools/lean/Semantics/Semantics/AVMRInformation.lean Lean ✅ LAYER_A_COMPRESSION informational_bind 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 2502→ 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 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 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 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 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 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 2508→2506 Manifold_Geodesic_Channel_Length Manifold Dynamics L_g = ∫_C √(g_μν dx^μ dx^ν) L_g=geodesic length, g_μν=metric tensor, C=channel curve Length of curved channel on manifold: integral of metric along channel path; replaces Euclidean length in Poiseuille equations manifold_dynamics/geodesic_length.md Pending ✅ 2506,2509 LAYER_C_TOPOLOGY geometric_bind 714,715,716 2509→2507 Manifold_Curvature_Correction Manifold Dynamics κ = |∇_t T| = √(g_μν T^μ T^ν) κ=curvature, ∇_t=covariant derivative along tangent, T=tangent vector, g_μν=metric Curvature of channel path on manifold: magnitude of covariant derivative of tangent vector; quantifies channel deviation from geodesic manifold_dynamics/curvature_correction.md Pending ✅ 2507,2510 LAYER_C_TOPOLOGY geometric_bind 714,715,716 2510→2508 Manifold_Channel_Cross_Section Manifold Dynamics A = π R² √(det(g_ij)) A=cross-sectional area, R=radius, g_ij=induced metric on cross-section Cross-sectional area on manifold: metric determinant accounts for non-Euclidean geometry of channel slice manifold_dynamics/manifold_cross_section.md Pending ✅ 2508,2511 LAYER_C_TOPOLOGY geometric_bind 714,715,716 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 2512→ ANI_Average_Nucleotide_Identity Bioinformatics ANI = (percent_identity × percent_query_coverage) / 100 percent_identity, percent_query_coverage Compare generated phage genomes to natural sequences; <95% ANI qualifies as new species tools/lean/Semantics/Semantics/BioRxivFormalization.lean Documented ✅ LAYER_H_ALGEBRA informational_bind AAI_Average_Amino_Acid_Identity Bioinformatics AAI = average(sequence_identity(protein_i, reference_i)) sequence_identity, proteins Proteome-level comparison; design constraint: <95% AAI for diversification tools/lean/Semantics/Semantics/BioRxivFormalization.lean Documented ✅ LAYER_H_ALGEBRA informational_bind Shannon_Diversity_Hprime Information_Theory H' = -Σ (p_i × log2(p_i)) p_i=proportion of species i Measure sequence population diversity; increases with temperature and prompt length tools/lean/Semantics/Semantics/BioRxivFormalization.lean Documented ✅ LAYER_A_COMPRESSION informational_bind JukesCantor_Genetic_Distance Phylogenetics d = -(3/4) × ln(1 - (4/3) × p) p=proportion of differing sites Build Neighbor-Joining trees; assumes equal substitution rates data/evo_bacteriophile_math_extraction.md Documented ✅ LAYER_H_ALGEBRA informational_bind pLDDT_Structure_Confidence Structural_Biology pLDDT ∈ [0, 100] Confidence score Higher scores indicate more confident local structure predictions (AlphaFold/ESMFold) tools/lean/Semantics/Semantics/BioRxivFormalization.lean Documented ✅ LAYER_H_ALGEBRA informational_bind pTM_Template_Modeling Structural_Biology pTM ∈ [0, 1] Global fold confidence Measures overall model confidence (AlphaFold 3) tools/lean/Semantics/Semantics/BioRxivFormalization.lean Documented ✅ LAYER_H_ALGEBRA informational_bind FSC_Fourier_Shell_Correlation CryoEM FSC(k) = |F1(k)|·|F2(k)|·cos(Δφ(k)) / (|F1(k)|² + |F2(k)|²) F1,F2=Fourier transforms, k=spatial frequency, Δφ=phase difference Cryo-EM map validation; resolution threshold FSC = 0.143 tools/lean/Semantics/Semantics/BioRxivFormalization.lean Documented ✅ LAYER_H_ALGEBRA informational_bind Gaussian_Blur_ORF_Smoothing Image_Processing G_σ(x) = (1/(σ√(2π))) × exp(-x²/(2σ²)) σ=blur parameter, x=position Smooth one-hot encoded ORF boundaries; σ=5 for optimal sensitivity/specificity tools/lean/Semantics/Semantics/BioRxivFormalization.lean Documented ✅ LAYER_H_ALGEBRA informational_bind Architecture_Similarity_Score Bioinformatics Score = correlation(E_template, E_candidate) after Gaussian blur E=one-hot encoding Filter generated genomes; threshold >0.38 delineates ΦX174-like sequences tools/lean/Semantics/Semantics/BioRxivFormalization.lean Documented ✅ LAYER_H_ALGEBRA informational_bind Fold_Change_Competition Statistics FC_t = read_count_t / read_count_{t-1} read_count_t=count at time t Phage competition assay; cumulative fold change = Σ FC_i tools/lean/Semantics/Semantics/BioRxivFormalization.lean Documented ✅ LAYER_H_ALGEBRA informational_bind Growth_Rate_Derivative Biophysics r(t) = d(OD600)/dt ≈ (OD600(t+Δt) - OD600(t)) / Δt OD600=optical density, t=time Instantaneous bacterial growth rate; negative values indicate lysis tools/lean/Semantics/Semantics/BioRxivFormalization.lean Documented ✅ LAYER_G_ENERGY thermodynamic_bind Mutation_Rate_Genomics μ = N_mutations / L_genome N_mutations=number of mutations, L_genome=genome length Normalized mutation count; hotspots: promoter A (0.11), terminator H (0.09), gene J (0.07) tools/lean/Semantics/Semantics/BioRxivFormalization.lean Documented ✅ LAYER_H_ALGEBRA informational_bind PerPosition_Entropy Information_Theory H(x) = -Σ P(c|x) × log2(P(c|x)) P(c|x)=probability of nucleotide c at position x Language model uncertainty; lower entropy after fine-tuning indicates better modeling tools/lean/Semantics/Semantics/BioRxivFormalization.lean Documented ✅ LAYER_A_COMPRESSION informational_bind Novel_Mutation_Count Bioinformatics N_novel = L_genome × (1 - ANI/100) L_genome=genome length, ANI=average nucleotide identity Estimated mutations not found in natural genomes; range: 67-392 for viable phages tools/lean/Semantics/Semantics/BioRxivFormalization.lean Documented ✅ LAYER_H_ALGEBRA informational_bind Shannon_Entropy_Genomic Information_Theory H(X) = -Σ_{i=1}^{n} p(x_i) log_2 p(x_i) H(X)=entropy, p(x_i)=probability of nucleotide/k-mer Quantifies genomic information content; measures uncertainty/randomness in sequence distribution data/biorxiv_2025_2026_math_extraction.md Documented ✅ LAYER_A_COMPRESSION informational_bind Jensen_Shannon_Divergence Information_Theory JSD(P||Q) = (1/2) D_KL(P||M) + (1/2) D_KL(Q||M), M = (1/2)(P+Q) JSD=Jensen-Shannon divergence, D_KL=KL divergence, P,Q=distributions Measures evolutionary conservation between sequence distributions; symmetric bounded alternative to KL divergence data/biorxiv_2025_2026_math_extraction.md Documented ✅ LAYER_A_COMPRESSION informational_bind Kullback_Leibler_Divergence Information_Theory D_KL(P||Q) = Σ_{i} P(i) log_2 (P(i) / Q(i)) D_KL=KL divergence, P=true distribution, Q=approximating distribution Measures information loss when Q approximates P; asymmetric distribution difference measure data/biorxiv_2025_2026_math_extraction.md Documented ✅ LAYER_A_COMPRESSION informational_bind Masked_Language_Modeling_Loss Machine_Learning L = -Σ_{x∈M} log P(x | x̃) L=cross-entropy loss, M=masked tokens, x=original token, x̃=corrupted sequence Training objective for genomic language models; learns to predict masked nucleotides from context data/biorxiv_2025_2026_math_extraction.md Documented ✅ LAYER_H_ALGEBRA informational_bind LDDT_Local_Distance_Difference Structural_Biology LDDT = (1/N) Σ_{i,j} θ(d_{i,j} - d̂_{i,j}) LDDT=local distance difference test, N=residue pairs, d=actual distance, d̂=predicted distance Measures local confidence at residue level; evaluates predicted distance accuracy data/biorxiv_2025_2026_math_extraction.md Documented ✅ LAYER_H_ALGEBRA informational_bind pTM_Template_Modeling_Score Structural_Biology TM-score = max[(1/L_target) Σ_{i=1}^{L_common} 1/(1+(d_i/d_0)^2)], d_0=1.24*(L_target-15)^{1/3}-1.8 TM-score=template modeling score, L_target=target length, L_common=aligned residues, d_i=distance Assesses global topological accuracy of predicted protein structures; length-normalized metric data/biorxiv_2025_2026_math_extraction.md Documented ✅ LAYER_H_ALGEBRA informational_bind Gibbs_Free_Energy_Compensation Thermodynamic ΔG = ΔH - TΔS ΔG=Gibbs free energy change, ΔH=enthalpy change, T=temperature, ΔS=entropy change Models relationship between evolutionary fitness and sequence entropy; biological fitness compensates for entropy cost data/biorxiv_2025_2026_math_extraction.md Documented ✅ LAYER_G_ENERGY thermodynamic_bind Fitness_Entropy_Tradeoff Thermodynamic f = f_max - α * H f=fitness function, f_max=maximum fitness, α=trade-off coefficient, H=sequence entropy Linear compensation model where higher entropy reduces fitness; quantifies evolutionary constraints data/biorxiv_2025_2026_math_extraction.md Documented ✅ LAYER_G_ENERGY thermodynamic_bind Abstract_CoT_Marginal_Likelihood Machine_Learning p(y|x) = Σ_z p(y|z,x)p(z|x) x=prompt, y=answer, z=abstract trace, θ=model parameters Marginal likelihood maximization for discrete latent reasoning; intractable sum over abstract traces motivates bootstrapping procedure https://arxiv.org/abs/2604.22709 Documented ✅ LAYER_H_ALGEBRA informational_bind Abstract_CoT_Constrained_Decoding Machine_Learning πθ^abs(a|h) = πθ(a|h) * 1[a∈A] / Σ_{u∈A} πθ(u|h) πθ=policy, h=context, A=allowed tokens, 1[indicator]=indicator function Constrained decoding policy restricted to abstract codebook tokens; enforces hard cap m_max on generated tokens https://arxiv.org/abs/2604.22709 Documented ✅ LAYER_H_ALGEBRA informational_bind Abstract_CoT_Information_Bottleneck Machine_Learning I(Y;C) ≤ I(Y;Z_abs) ≤ I(Z_abs;C) Y=answer, C=verbal CoT, Z_abs=abstract token hidden states Data processing inequality; information flow from CoT to answer bounded by abstract sequence capacity; H_Z_abs scales linearly with m https://arxiv.org/abs/2604.22709 Documented ✅ LAYER_A_COMPRESSION informational_bind Abstract_CoT_Power_Law_Distribution Machine_Learning p(token) ∝ token^{-α} α≈1.5-2.0 (Zipf-like) Emergent power law distribution over abstract vocabulary during RL training; resembles natural language token frequency distribution https://arxiv.org/abs/2604.22709 Documented ✅ LAYER_A_COMPRESSION informational_bind Abstract_CoT_GRPO_Advantage Machine_Learning A_k = (R_k - μ) / σ R_k=reward, μ=mean reward, σ=std dev Group Relative Policy Optimization advantage normalization; stabilizes RL updates on abstract token policy https://arxiv.org/abs/2604.22709 Documented ✅ LAYER_H_ALGEBRA informational_bind Abstract_CoT_Compression_Ratio Machine_Learning compression_ratio = E[|c_verbal|] / E[m] c_verbal=verbal CoT tokens, m=abstract tokens Token efficiency metric; achieves 10.4-11.6× compression on MATH-500, 1.9-2.2× on AlpacaEval, 4.0-4.3× on HotpotQA https://arxiv.org/abs/2604.22709 Documented ✅ LAYER_A_COMPRESSION informational_bind Reynolds_Number Fluid_Dynamics Re = ρuL/μ = uL/ν ρ=density, u=flow velocity, L=characteristic length, μ=dynamic viscosity, ν=kinematic viscosity Ratio of inertial to viscous forces; predicts laminar-turbulent transition (Re_crit ≈ 2100 for pipe flow) https://en.wikipedia.org/wiki/Reynolds_number Documented ✅ LAYER_K_SIGNAL thermodynamic_bind Kolmogorov_Energy_Spectrum Fluid_Dynamics E(k) = Cε^(2/3)k^(-5/3) E(k)=energy spectrum, C≈1.5, ε=energy dissipation rate, k=wavenumber Universal energy distribution in turbulent inertial subrange; -5/3 power law from energy cascade https://en.wikipedia.org/wiki/Energy_cascade Documented ✅ LAYER_K_SIGNAL thermodynamic_bind Information_Reynolds_Number Information_Theory Re_info = I_inertial / I_viscous = (H_flow × L_flow) / (μ_info × ν_info) H_flow=information flow rate, L_flow=characteristic information length, μ_info=information viscosity, ν_info=information kinematic viscosity Analogous to fluid Reynolds number; controls transition from laminar (bottleneck) to turbulent (high-throughput) information flow docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_A_COMPRESSION informational_bind Information_Turbulence_Entropy Information_Theory H_turb = -Σ p(eddy) log₂ p(eddy) + α×E_cascade p(eddy)=probability of information eddy, α=cascade coupling, E_cascade=energy cascade rate Higher entropy in turbulent information flow; mixing increases information transfer rate analogous to fluid turbulence docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_A_COMPRESSION informational_bind Laminar_Information_Bottleneck Information_Theory I(Y;C) ≤ I(Y;Z) ≤ I(Z;C) when Re_info < Re_crit Y=target, C=source, Z=bottleneck, Re_crit=critical information Reynolds number Data processing inequality as laminar flow; smooth, constrained information transfer with minimal mixing (current bottleneck regime) docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_A_COMPRESSION informational_bind Turbulent_Information_Flow Information_Theory I(Y;C) ≈ I(Y;Z) ≈ I(Z;C) when Re_info >> Re_crit Y=target, C=source, Z=bottleneck, Re_crit=critical information Reynolds number Information turbulence breaks bottleneck; chaotic eddies increase mixing and transfer rate, analogous to high-Re fluid flow docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_A_COMPRESSION informational_bind Manning_Canal_Flow Fluid_Dynamics V = (k/n) R_h^(2/3) S^(1/2), Q = A×V V=velocity, n=Manning coefficient, R_h=hydraulic radius, S=slope, A=area, Q=discharge Open channel flow rate depends on channel geometry and slope; hydraulic radius R_h = A/P where P=wetted perimeter https://en.wikipedia.org/wiki/Manning_formula Documented ✅ LAYER_K_SIGNAL thermodynamic_bind Grashof_Number Fluid_Dynamics Gr = gβ(T_s - T_∞)L³/ν² g=gravity, β=thermal expansion, T_s=surface temp, T_∞=bulk temp, L=length, ν=kinematic viscosity Ratio of buoyancy to viscous forces; controls natural convection transition (Gr_crit ≈ 10⁸ for turbulent convection) https://en.wikipedia.org/wiki/Grashof_number Documented ✅ LAYER_K_SIGNAL thermodynamic_bind Fourier_Heat_Conduction Thermodynamic q = -kA dT/dx q=heat flux, k=thermal conductivity, A=area, dT/dx=temperature gradient Heat flows from hot to cold proportional to temperature gradient; Fourier's law of thermal conduction https://en.wikipedia.org/wiki/Fourier%27s_law Documented ✅ LAYER_G_ENERGY thermodynamic_bind Dynamic_Information_Canal Information_Theory Q_info(t) = A(t) × V(t) = A(t) × (k/n) R_h(t)^(2/3) S(t)^(1/2) Q_info=information flow rate, A(t)=dynamic channel area, R_h(t)=dynamic hydraulic radius, S(t)=dynamic slope Information channel with time-varying capacity; geometry changes adapt flow rate analogous to dynamic canal geometry docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_A_COMPRESSION informational_bind Information_Buoyancy_Grashof Information_Theory Gr_info = g_info × β_info × (H_s - H_∞) × L³ / ν² g_info=information gravity, β_info=information expansion, H_s=source entropy, H_∞=ambient entropy, L=length, ν=viscosity Ratio of information buoyancy (entropy gradient) to viscous resistance; controls information convection and "heat rising" behavior docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_A_COMPRESSION informational_bind Information_Thermal_Gradient Information_Theory dH/dz = α × (H(z) - H_ambient) dH/dz=entropy gradient with height, α=thermal coefficient, H(z)=entropy at height z Information entropy increases as it flows upward (buoyancy-driven); creates natural convection analogous to heat rising docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_A_COMPRESSION informational_bind Natural_Information_Convection Information_Theory Gr_info > Gr_crit → turbulent convection, I(Y;C) ≈ I(Y;Z) ≈ I(Z;C) Gr_crit≈10⁸ for turbulent information convection Information rises due to its own "heat" (entropy); high Gr_info breaks bottleneck via buoyancy-driven convection docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_A_COMPRESSION informational_bind Chiral_Spiral_Information_Flow Information_Theory I_flow(θ,χ) = I_0 × exp(α·χ·sin(θ)) × φ^layer θ=spiral angle, χ=chirality, φ=golden ratio, layer=spiral layer Information flows along chiral spiral paths; chirality determines twist direction, golden ratio scales by layer docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind Golden_Spiral_Canal_Geometry Fluid_Dynamics R(θ) = c·√(θ/ψ), A(θ) = π·R(θ)² × (1 + χ·sin(kθ)) R=radius, θ=angle, ψ=golden angle, c=scale, χ=chirality, k=wavenumber Canal cross-section varies along golden spiral; chirality adds twist modulation to area docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind Chiral_Turbulence_Vorticity Fluid_Dynamics ω = ∇×v = χ·(v_θ/r) + β·(∂v_r/∂θ - ∂v_θ/∂r) ω=vorticity, v=velocity, χ=chirality, β=twist coefficient Chirality induces vorticity in turbulent flow; creates spiral eddies that enhance mixing docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_K_SIGNAL thermodynamic_bind Information_Helical_Flow Information_Theory h = (v·ω)/|v||ω| = χ·φ^(layer/φ) h=helicity, v=information velocity, ω=vorticity, χ=chirality, φ=golden ratio Helical information flow along chiral spiral; chirality and golden ratio determine twist intensity docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind Chiral_Bottleneck_Transform Information_Theory I_trans = I_in × (1 + χ·sin(2π·n/φ)) × exp(-layer/φ) χ=chirality, n=spiral index, φ=golden ratio, layer=spiral layer Chiral spiral transforms information flow through bottleneck; golden ratio provides optimal layer scaling docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_A_COMPRESSION informational_bind Artin_Braid_Group Braid_Theory B_n = ⟨σ₁,σ₂,...,σ_{n-1} | σ_iσ_j = σ_jσ_i for |i-j|≥2, σ_iσ_{i+1}σ_i = σ_{i+1}σ_iσ_{i+1}⟩ σ_i=strand i crossing over strand i+1, n=number of strands Braid group generators and relations; fundamental group of configuration space; Yang-Baxter equation connection https://en.wikipedia.org/wiki/Braid_group Documented ✅ LAYER_C_TOPOLOGY geometric_bind French_Braid_3Strand Braid_Theory B_3 = ⟨σ₁,σ₂ | σ₁σ₂σ₁ = σ₂σ₁σ₂⟩ ≅ PSL(2,Z) σ₁,σ₂=generators for 3-strand braid, PSL(2,Z)=modular group 3-strand french braid isomorphic to modular group; fundamental relation σ₁σ₂σ₁ = σ₂σ₁σ₂ (braid relation) https://en.wikipedia.org/wiki/Braid_group Documented ✅ LAYER_C_TOPOLOGY geometric_bind Information_Braid_3Channel Information_Theory I_braid = σ_l·σ_t·σ_c where σ_lσ_tσ_l = σ_tσ_lσ_t σ_l=laminar strand, σ_t=turbulent strand, σ_c=chiral strand 3-channel information braid with laminar/turbulent/chiral strands; braid relation ensures mixing and intertwining of flows docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_A_COMPRESSION informational_bind Braid_Index_Information Information_Theory b = min{n | I_total = I₁ ⊕ I₂ ⊕ ... ⊕ I_n} b=braid index, I_i=information strand i Minimum number of strands needed to represent information flow as a braid; lower braid index = simpler topology docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind Alexander_Polynomial_Braid Braid_Theory Δ_B(t) = det(M - M^T) / (1 - t) where M=Burau matrix M=Burau representation matrix, t=polynomial variable Knot invariant for braid closure; Alexander polynomial distinguishes different braid topologies https://en.wikipedia.org/wiki/Alexander_polynomial Documented ✅ LAYER_C_TOPOLOGY geometric_bind French_Braid_Information_Mixing Information_Theory I_mix = I_l ⊗ I_t ⊗ I_c with σ₁σ₂σ₁ = σ₂σ₁σ₂ ⊗=tensor product (mixing), σ₁,σ₂=braid generators French braid mixing of 3 information channels; braid relation ensures optimal interleaving and flow enhancement docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_A_COMPRESSION informational_bind Recursive_Braid_Braiding Braid_Theory B(B_n) = ⟨σ_{i,j} | σ_{i,j}σ_{k,l} = σ_{k,l}σ_{i,j} for |i-j|≥2⟩ σ_{i,j}=generator for braiding strand i over strand j in braid level j Braids of braids; recursive structure where each strand is itself a braid; hierarchical information topology docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind Algebraic_Braid_Category Category_Theory γ_{A,B}: A⊗B → B⊗A with hexagon identity: α_{B,C,A} ∘ γ_{A,B⊗C} ∘ α_{A,B,C} = (γ_{A,C}⊗id_B) ∘ α_{B,A,C} ∘ (id_B⊗γ_{A,C}) γ=braiding isomorphism, α=associator, A,B,C=objects Braided monoidal category; hexagon identity ensures coherent braiding structure; Yang-Baxter equation connection https://en.wikipedia.org/wiki/Braided_monoidal_category Documented ✅ LAYER_C_TOPOLOGY geometric_bind SU3_Color_Charge Quantum_Chromodynamics c ∈ {R,G,B} for quarks; c̄ ∈ {R̄,Ḡ,B̄} for antiquarks; gluons: c⊗c̄ combinations R=red, G=green, B=blue; 8 gluons from 9 possible color-anticolor combos Color charge in QCD; three colors combine to colorless (white); color confinement requires net color zero https://en.wikipedia.org/wiki/Color_charge Documented ✅ LAYER_G_ENERGY thermodynamic_bind Color_Assigned_Braid_Portion Information_Theory B_portion = (I_segment, color, position) where color ∈ {R,G,B} I_segment=information flow segment, color=SU(3) color charge, position=braid position Each portion of french braid assigned color; hierarchical braiding with color coding for information segments docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_A_COMPRESSION informational_bind Hexagon_Identity_Information Information_Theory α_{B,C,A} ∘ γ_{A,B⊗C} ∘ α_{A,B,C} = (γ_{A,C}⊗id_B) ∘ α_{B,A,C} ∘ (id_B⊗γ_{A,C}) α=information associator, γ=information braiding, A,B,C=information channels Hexagon identity ensures coherent braiding of information channels; prevents topological inconsistencies docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_C_TOPOLOGY geometric_bind Color_Confinement_Information Information_Theory Σ_i color_i = colorless (white) for closed information loop color_i=color charge of information segment i Color confinement: information must be colorless when closed; ensures information conservation in braided topology docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_A_COMPRESSION informational_bind Gear_Reduction_Ratio Mechanics GR = N_output / N_input = ω_input / ω_output = τ_output / τ_input GR=gear ratio, N=teeth count, ω=angular speed, τ=torque Gear reduction transforms speed and torque; higher GR = lower speed, higher torque (mechanical advantage) https://www.accu.co.uk/p/442-what-is-gear-ratio Documented ✅ LAYER_K_SIGNAL thermodynamic_bind Divide_Conquer_Reduction Algorithm T(n) = a·T(n/b) + f(n) where a≥1, b>1, f(n)=work to divide/combine T(n)=time complexity, a=subproblems, b=split factor, f(n)=overhead Recursive reduction: decompose into subproblems, solve, compose; complexity depends on split factor and overhead https://en.wikipedia.org/wiki/Divide-and-conquer_algorithm Documented ✅ LAYER_B_ROUTING informational_bind Shell_Gear_Reduction Information_Theory I_final = I_initial × Π_{i=1}^{k} (1/GR_i) where GR_i = reduction ratio at level i I_final=final information, I_initial=initial, GR_i=gear reduction at level i, k=levels Hierarchical gear reduction: grind down complex information structure through sequential reduction ratios at each level docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_A_COMPRESSION informational_bind Information_Torque_Amplification Information_Theory τ_info_final = τ_info_initial × Π_{i=1}^{k} GR_i τ_info=information torque (transfer intensity), GR_i=gear reduction at level i Information torque amplified through gear reduction; higher reduction ratios increase transfer intensity analogous to mechanical torque docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_A_COMPRESSION informational_bind Reduction_Factor_Bottleneck Information_Theory R_factor = I_bottleneck / I_initial = Π_{i=1}^{k} (1/GR_i) R_factor=reduction factor, I_bottleneck=bottleneck information, I_initial=initial Reduction factor measures how much information is preserved through gear reduction; higher reduction = more information retained docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_A_COMPRESSION informational_bind Final_Result_Extraction Information_Theory I_result = reduce(AlgebraicBraid, GR_sequence) where reduce applies gear reduction recursively AlgebraicBraid=hierarchical braid structure, GR_sequence=reduction ratios, reduce=recursive reduction function Extract final result from hierarchical algebraic braid by applying shell gear reduction sequence; grounds complex structure to single value docs/geometry/INFORMATION_REYNOLDS_NUMBER.md Documented ✅ LAYER_A_COMPRESSION informational_bind Compression_Ratio_Genomic Compression CR = U_size / C_size CR=compression ratio, U_size=uncompressed size, C_size=compressed size Measures compression effectiveness; higher ratio indicates better compression data/biorxiv_2025_2026_math_extraction.md Documented ✅ LAYER_A_COMPRESSION informational_bind GA_Fitness_Function Optimization fitness = CR - λ * (decomp_time / comp_time) fitness=GA fitness function, CR=compression ratio, λ=weighting factor Multi-objective optimization balancing compression ratio with computational efficiency data/biorxiv_2025_2026_math_extraction.md Documented ✅ LAYER_B_ROUTING informational_bind 2609 Acoustic_Gradient_Field Acoustic ∇f = (∂f/∂x₁, ∂f/∂x₂, ..., ∂f/∂xₙ) ∇f=gradient vector, f=pressure field, xᵢ=n-space coordinates, n=dimensions Sound waves as n-space gradient fields; acoustic propagation as geodesic flow on manifold; impedance as gradient magnitude |∇f| tools/lean/Semantics/Semantics/MorphicDSP.lean Lean ✅ LAYER_C_TOPOLOGY geometric_bind 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 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 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 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 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 2615 Acoustic_Collision_Entropy Acoustic H₂ = -log₂ Σ p_b² (over |∇f|) H₂=collision entropy, p_b=gradient magnitude probability Acoustic collision entropy over gradient magnitudes; measures concentration of acoustic energy in gradient field tools/lean/Semantics/Semantics/EntropyMeasures.lean Lean ✅ 2609 LAYER_A_COMPRESSION informational_bind 2616 Acoustic_Min_Entropy Acoustic H_∞ = -log₂ max_b p_b (over |∇f|) H_∞=min-entropy, p_b=gradient magnitude probability Acoustic min-entropy over gradient magnitudes; measures worst-case acoustic uncertainty in gradient field tools/lean/Semantics/Semantics/EntropyMeasures.lean Lean ✅ 2609 LAYER_A_COMPRESSION informational_bind 2617 Acoustic_Adaptive_Entropy Acoustic H_adapt = {H₁ if σ<σ_low; H₂ if σ_low≤σ≤σ_high; H_∞ if σ>σ_high} H_adapt=adaptive entropy, σ=variance, σ_low,σ_high=thresholds Acoustic entropy adaptation based on gradient variance; switches between entropy measures based on field disorder tools/lean/Semantics/Semantics/EntropyMeasures.lean Lean ✅ 2614,2615,2616 LAYER_A_COMPRESSION informational_bind 2618 Acoustic_Impedance_Entropy Acoustic H_Z = -Σ p(Z) log₂ p(Z) H_Z=impedance entropy, p(Z)=impedance distribution Acoustic impedance mismatch entropy; measures disorder in impedance distribution across field tools/lean/Semantics/Semantics/EntropyMeasures.lean Lean ✅ 2609 LAYER_A_COMPRESSION informational_bind 2619 Diffraction_Entropy Acoustic H_κ = -Σ p(κ) log₂ p(κ) H_κ=diffraction entropy, κ=curvature, p(κ)=curvature distribution Diffraction entropy measures gradient field curvature disorder; higher curvature = more diffraction = higher entropy tools/lean/Semantics/Semantics/EntropyMeasures.lean Lean ✅ 2609 LAYER_A_COMPRESSION informational_bind 2620 Resonance_Entropy Acoustic H_ω = -Σ p(ωₙ) log₂ p(ωₙ) H_ω=resonance entropy, ωₙ=eigenmode frequency, p(ωₙ)=eigenmode distribution Resonance entropy measures disorder in eigenmode distribution; predicts resonance stability via entropy analysis tools/lean/Semantics/Semantics/EntropyMeasures.lean Lean ✅ 2612 LAYER_A_COMPRESSION informational_bind 2622 Burgers_1D_Classical Nonlinear PDEs u_t + u·u_x = ν·u_xx u=velocity field, t=time, x=spatial coordinate, ν=kinematic viscosity Fundamental model for shock waves, turbulence, and nonlinear wave propagation in 1D. Integrable via Cole-Hopf transform. 0-Core-Formalism/lean/Semantics/Semantics/BurgersPDE.lean Lean ✅ Bertini1994,ColeHopf1951,10.1007/BF02099769 LAYER_B_DYNAMICS continuum_bind 2623 Burgers_nD_Vector Nonlinear PDEs u_t + (u·∇)u = ν∇²u u=velocity vector field, ∇=nabla operator, ν=viscosity Multi-dimensional Burgers equation in vector form. Models nonlinear advection-diffusion in n-dimensional space. https://doi.org/10.1007/s00205-020-01576-6 Documented ✅ Serre2020,Biler1998 LAYER_B_DYNAMICS continuum_bind 2624 Burgers_nD_Component Nonlinear PDEs ∂u_i/∂t + Σ_j u_j·∂u_i/∂x_j = ν·Δu_i u_i=i-th velocity component, x_j=j-th spatial coordinate, Δ=Laplacian Component-wise n-dimensional Burgers system. Each component evolves under self-advection and diffusion. https://doi.org/10.1007/s00205-020-01576-6 Documented ✅ Serre2020,Srivastava2014 LAYER_B_DYNAMICS continuum_bind 2625 Burgers_Cole_Hopf Nonlinear PDEs u = -2ν·∂/∂x(ln φ) φ=solution to heat equation, ν=viscosity Cole-Hopf transformation linearizes Burgers equation to heat equation φ_t = ν·φ_xx. Enables exact solutions. 0-Core-Formalism/lean/Semantics/Semantics/ColeHopfTransform.lean Lean ✅ Cole1951,Hopf1950,10.1007/BF02099769 LAYER_H_ALGEBRA analytical_bind 2626 Stochastic_Burgers_1D Stochastic PDEs ∂u/∂t + u·∂u/∂x = ν·∂²u/∂x² + σ·∂W/∂x u=velocity, W=space-time white noise, σ=noise intensity Burgers equation with multiplicative space-time white noise. Requires rough path theory for well-posedness. 0-Core-Formalism/lean/Semantics/Semantics/StochasticBurgersPDE.lean Lean ✅ Hairer2010,Bertini1994,10.1007/s00440-011-0392-1 LAYER_B_DYNAMICS stochastic_bind 2627 KPZ_Equation Stochastic PDEs h_t = ν·∇²h + λ/2·(∇h)² + η(x,t) h=height field, η=space-time white noise, λ=nonlinearity strength Kardar-Parisi-Zhang equation - universal model for random surface growth. Related to Burgers via h = -∫u dx. https://doi.org/10.1007/s00220-015-2481-0 Documented ✅ Gubinelli2015,Quastel2015 LAYER_B_DYNAMICS stochastic_bind 2628 Fractional_Burgers Nonlinear PDEs u_t + u·u_x = ν·(-Δ)^{α/2}u α=fractional order (0<α≤2), (-Δ)^{α/2}=fractional Laplacian Burgers equation with fractional dissipation. Models anomalous diffusion and turbulence with memory effects. https://doi.org/10.1006/jdeq.1998.3458 Documented ✅ Biler1998,Woyczynski1998 LAYER_B_DYNAMICS continuum_bind 2629 Burgers_2D_System Nonlinear PDEs u_t + u·u_x + v·u_y = ν(u_xx + u_yy) u,v=velocity components in x,y directions Two-dimensional Burgers equation. Used for testing numerical methods and studying 2D turbulence patterns. 0-Core-Formalism/lean/Semantics/Semantics/Burgers2DPDE.lean Lean ✅ Gao2017,Yang2019,10.1016/j.apm.2016.12.010 LAYER_B_DYNAMICS continuum_bind 2630 Burgers_3D_System Nonlinear PDEs u_t + (u·∇)u = νΔu u=(u,v,w)=3D velocity field Three-dimensional Burgers equation. Prototype for 3D Navier-Stokes studies and compressible flow modeling. 0-Core-Formalism/lean/Semantics/Semantics/Burgers3DPDE.lean Lean ✅ Gao2017,Mittal2023,10.1016/j.apm.2016.12.010 LAYER_B_DYNAMICS continuum_bind 2631 Burgers_High_Order_Compact Numerical Methods u_j^n+1 = u_j^n - Δt·(u·u_x)_j + ν·Δt·(u_xx)_j Δt=time step, j=spatial index High-order compact finite difference scheme for multi-dimensional Burgers equations. 4th-6th order accuracy. https://doi.org/10.1016/j.amc.2019.04.023 Implemented ✅ Yang2019,Zhang2019 LAYER_H_ALGEBRA numerical_bind 2632 Burgers_SpaceTime_Pseudospectral Numerical Methods u(x,t) ≈ Σ_{i,j} L_i(x)·L_j(t)·u_{ij} L_i,L_j=Lagrange polynomials Space-time pseudospectral method for solving multi-dimensional quasi-linear parabolic Burgers equations. https://doi.org/10.1016/j.apnum.2023.07.016 Documented ✅ Mittal2023,Mittal2022 LAYER_H_ALGEBRA numerical_bind 2633 Burgers_Variational_Iteration Analytical Methods u_{n+1} = u_n + ∫_0^t λ(ξ)·(∂u_n/∂t + u_n·∂u_n/∂x - ν·∂²u_n/∂x²)dξ λ=Lagrange multiplier, u_n=n-th approximation Variational iteration method (VIM) for semi-analytical solution of multi-dimensional Burgers equations. https://doi.org/10.1016/j.asej.2013.11.006 Documented ✅ Srivastava2014,Hussain2023 LAYER_H_ALGEBRA analytical_bind 2634 Burgers_Soliton_Solutions Nonlinear PDEs u(x,t) = Σ_{k=1}^N A_k·sech²(B_k·(x - c_k·t - x_{0k})) A_k=amplitude, B_k=width parameter, c_k=wave speed Multi-soliton solutions for (2+1) and (3+1)-dimensional Burgers equations via Hirota bilinear method. https://doi.org/10.1016/j.joes.2022.10.001 Documented ✅ Xia2022,Wang2022 LAYER_B_DYNAMICS analytical_bind