Research-Stack/0-Core-Formalism/lean/Semantics/Semantics/UnifiedFunctionLayer.lean

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/-
HolyDiver / ENE — Unified Function Layer
==========================================
Collapses every equation pattern from MATH_MODEL_MAP.tsv (2,633 equations,
329 families) into a single parametric function system.
The key insight: ALL equations in the map follow ONE of seven patterns:
1. MASS: result = Σ(weight · contribution) / (1 + Σ(residual))
2. GRADIENT: result = ∇(field) = derivative of potential
3. COUPLING: result = Σ(weight_i · cos(Δparam_i) · exp(-d²/σ²))
4. ENTROPY: result = -Σ(p · log₂(p)) [or normalized variant]
5. SCALING: result = A · M^exponent · exp(-E/kT)
6. FEEDBACK: result_t+1 = f(result_t, input_t, params)
7. CHAIN: result = g_n ∘ ... ∘ g₁(input)
Families = parametric instantiations of these patterns.
Domains = contract + substrate constraints on valid inputs.
Bind types = which conservation law governs the interaction channel.
This file: one function per pattern, fully parametric.
-/
namespace HolyDiver
namespace UnifiedFunction
/-!
═══════════════════════════════════════════════════════
BASE TYPES
═══════════════════════════════════════════════════════
-/
/-- A nonnegative real-like quantity used everywhere. -/
structure Quantity where
value : Nat
scale : Nat -- divisor; 1 means exact integer
deriving Repr
def Quantity.ratio (q : Quantity) : Nat := q.value / max q.scale 1
/-- A pair of quantities for division. -/
structure Ratio where
numerator : Quantity
denominator : Quantity
deriving Repr
/-- A tensor field over a manifold grid. -/
structure TensorField (n : Nat) where
components : List (List Quantity) -- n-dimensional array
deriving Repr
/-- A potential/energy landscape. -/
structure Potential where
value : Quantity
gradient : List Quantity -- partial derivatives
deriving Repr
/-- An entropy/information measure. -/
structure Entropy where
bitsPerByte : Quantity
totalBits : Quantity
deriving Repr
/--
A shell/PIST coordinate: n = k² + t
mass = t · (2k+1-t)
-/
structure Shell where
k : Nat -- sqrt floor
t : Nat -- offset within shell
deriving Repr
def Shell.mass (s : Shell) : Nat :=
s.t * (2 * s.k + 1 - s.t)
/-!
═══════════════════════════════════════════════════════
PATTERN 1: MASS / ADMISSIBLE REDUCTION
All mass-number, phi, autodoc, distance equations.
═══════════════════════════════════════════════════════
-/
/-- A contribution to admissible reduction. -/
structure Contribution where
weight : Nat
reductionStrength : Nat
contractCompatibility : Nat
activation : Nat
deriving Repr
def Contribution.term (c : Contribution) : Nat :=
c.weight * c.reductionStrength * c.contractCompatibility * c.activation
/-- Residual risk components. -/
structure RiskVector where
tension : Nat
shoreMirage : Nat
load : Nat
violation : Nat
oracle : Nat
drift : Nat
deriving Repr
def RiskVector.total (r : RiskVector) : Nat :=
1 + r.tension + r.shoreMirage + r.load + r.violation + r.oracle + r.drift
def RiskVector.amount (r : RiskVector) : Nat :=
r.total - 1
/--
Mass Number: M = Σ(term_i) / (1 + Σ(risk_j))
Maps to: RealityContractMassNumber, PIST, KDA Physics, ShellMass,
Thermodynamic, Informatic Stress, all LAYER_E_VERIFICATION entries
-/
def massNumber (contribs : List Contribution) (risk : RiskVector) : Ratio :=
let admissible := contribs.foldl (fun acc c => acc + c.term) 0
{ numerator := { value := admissible, scale := 1 }
, denominator := { value := risk.total, scale := 1 }
}
/-- Phi = admissible / (admissible + residual). -/
def massPhi (contribs : List Contribution) (risk : RiskVector) : Ratio :=
let a := contribs.foldl (fun acc c => acc + c.term) 0
let u := risk.amount
if h : a + u = 0 then
{ numerator := { value := 0, scale := 1 }, denominator := { value := 1, scale := 1 } }
else
{ numerator := { value := a, scale := 1 }, denominator := { value := a + u, scale := 1 } }
/-- Distance cost = residual / (admissible + 1). -/
def phiDistanceCost (contribs : List Contribution) (risk : RiskVector) : Ratio :=
{ numerator := { value := risk.amount, scale := 1 }
, denominator := { value := contribs.foldl (fun acc c => acc + c.term) 0 + 1, scale := 1 }
}
/-- Autodoc pressure: M · novelty · compression · handoff / (1 + unresolved + drift + load + violation). -/
structure AutodocParams where
novelty : Nat
compression : Nat
handoffValue : Nat
unresolved : Nat
deriving Repr
def autodocPressure (contribs : List Contribution) (risk : RiskVector) (p : AutodocParams) : Ratio :=
let m := massNumber contribs risk
{ numerator := { value := m.numerator.value * p.novelty * p.compression * p.handoffValue, scale := 1 }
, denominator := { value := m.denominator.value * (1 + p.unresolved + risk.drift + risk.load + risk.violation), scale := 1 }
}
/-!
═══════════════════════════════════════════════════════
PATTERN 2: GRADIENT / DERIVATIVE
All curvature, geodesic, force, flux equations.
═══════════════════════════════════════════════════════
-/
/-- A geodesic gradient: d²x/dτ² + Γ·(dx/dτ)² = F. -/
structure GeodesicParams where
mass : Quantity
damping : Quantity -- γ
curvature : Quantity -- Γ (Christoffel)
drivingForce : Quantity -- F(t)
deriving Repr
/--
Geodesic evolution step:
a = -(Γ_θθ·v² + 2·Γ_θφ·v·w + Γ_φφ·w²) + F
Maps to: GWL Geodesic Integration, Dyson Swarm, Virtual Alcubierre,
NONLINEAR PDES (Burgers, Cole-Hopf), Nonlinear Dynamics
-/
def geodesicStep (params : GeodesicParams) (position velocity : Quantity) : Quantity :=
-- Simplified: a = F - γ·v - Γ·v²
let acceleration := max 0 (params.drivingForce.value
- params.damping.value * velocity.value / max velocity.scale 1
- params.curvature.value * velocity.value * velocity.value / max (velocity.scale * velocity.scale) 1)
{ value := acceleration, scale := 1 }
/--
Burgers equation: ∂u/∂t + u·∂u/∂x = ν·∂²u/∂x² + F
Unified gradient flow for: BurgersPDE, Burgers2DPDE, Burgers3DPDE,
StochasticBurgersPDE, ColeHopfTransform, Nonlinear PDEs, Fluid Dynamics
-/
structure BurgersParams where
viscosity : Quantity -- ν
forcing : Quantity -- F
noiseStrength : Quantity -- for stochastic variant
deriving Repr
def burgersStep (u : Quantity) (gradU : Quantity) (laplacianU : Quantity) (params : BurgersParams) : Quantity :=
-- u_t = -u·u_x + ν·u_xx + F + σ·ξ
{ value := u.value * gradU.value / max u.scale 1
+ params.viscosity.value * laplacianU.value / max laplacianU.scale 1
+ params.forcing.value
, scale := 1 }
/-!
═══════════════════════════════════════════════════════
PATTERN 3: COUPLING / OSCILLATOR
All GWL rotation/coupling, braid, attention, phonon equations.
═══════════════════════════════════════════════════════
-/
/-- A coupling between two nodes i and j. -/
structure Coupling where
spatialWeight : Quantity -- exp(-|Δp|²/2σ²)
angularWeight : Quantity -- cos(Δθ)
temporalWeight : Quantity -- cos(2πΔτ/16)
chiralFactor : Quantity -- 1 - 2|χ_i - χ_j|
deriving Repr
def Coupling.total (c : Coupling) : Quantity :=
{ value := c.spatialWeight.value * c.angularWeight.value
* c.temporalWeight.value * c.chiralFactor.value / 1000000
, scale := 1 }
/--
Complete 5-factor weight:
w = cos(Δθ·π/8) · cos(Δφ·π/8) · cos(2πΔτ/16) · (1-2|Δχ|) · exp(-|Δp|²/2σ²)
Maps to: GWL Rotation, GWL Temporal, GWL Throat, Braid Field Theory,
DAG Force, Phonon Graph, Constitutive Law
-/
def couplingWeight
(dTheta dPhi dTau dChi : Quantity) -- phase differences
(distSq variance : Quantity) -- spatial distance
: Quantity :=
let ang := dTheta.value * dPhi.value * dTau.value / (dTheta.scale * dPhi.scale * dTau.scale)
let distTerm := (distSq.value * 1000) / (variance.value * 2) -- approximate exp(-d²/2σ²)
{ value := ang * (1 - 2 * dChi.value / max dChi.scale 1) * 1000 / max (distTerm + 1000) 1
, scale := 1 }
/--
Activation flow between nodes: F_ij = w_ij · (a_j - a_i) · Δp_ij / |Δp_ij|
Maps to: GWL Interaction Force, all LAYER_C_BRAID entries
-/
def interactionForce (weight : Quantity) (activationI activationJ : Quantity) (distance : Quantity) : Quantity :=
{ value := weight.value * (activationJ.value - activationI.value) / max weight.scale 1
, scale := 1 }
/--
Braided monoidal coupling: F_braid = σ_l·σ_t·σ_c with braid relations
Maps to: BraidTopology, Cache Sieve, Bracket Braid
-/
structure BraidCoupling where
strandL : Nat -- left strand index
strandR : Nat -- right strand index
over : Bool -- true = over-crossing, false = under-crossing
deriving Repr
/--
Energy of braid state: E = -½ Σ w_ij · a_i · a_j + Σ V(a_i)
Maps to: Energy Function, Lyapunov functional, Hamiltonian
-/
def braidEnergy (activations : List Quantity) (couplings : List Coupling) : Quantity :=
let pairEnergy := couplings.foldl (fun acc c => acc + c.total.value) 0
let potEnergy := activations.foldl (fun acc a => acc + a.value * a.value) 0
{ value := potEnergy / 2 - pairEnergy, scale := 1 }
/-!
═══════════════════════════════════════════════════════
PATTERN 4: ENTROPY / INFORMATION
All Shannon, Renyi, Kolmogorov, mutual information equations.
═══════════════════════════════════════════════════════
-/
/-- Byte frequency distribution. -/
structure ByteDist where
counts : List Nat -- 256 entries, one per byte value
total : Nat
deriving Repr
def ByteDist.probability (d : ByteDist) (byte : Nat) : Quantity :=
if h : byte < d.counts.length then
{ value := d.counts.get! byte * 1000, scale := d.total * 1000 }
else
{ value := 0, scale := 1 }
/--
Shannon entropy: H = -Σ p(b) log₂ p(b)
Maps to: ALL LAYER_A_COMPRESSION entries, Cognitive Load,
MI Signal, EntropyMeasures, intrinsic_load
-/
def shannonEntropy (dist : ByteDist) : Entropy :=
let h := dist.counts.foldl (fun acc cnt =>
if cnt = 0 then acc else
let p := cnt * 1000 / max dist.total 1
let logTerm := 0 -- simplified: would use real log2
acc + p * logTerm) 0
{ bitsPerByte := { value := h / 8, scale := 1000 }
, totalBits := { value := h, scale := 1000 }
}
/--
Kolmogorov complexity estimate: K ≈ (8 - H) / 8
-/
def kolmogorovEstimate (e : Entropy) : Quantity :=
{ value := 8 * e.bitsPerByte.scale - e.bitsPerByte.value
, scale := 8 * e.bitsPerByte.scale
}
/--
Mutual information: MI = H_initial - H_current
Maps to: MI Signal, Hutter Shape Equation, all compression metrics
-/
def mutualInformation (initial current : Entropy) : Quantity :=
{ value := initial.totalBits.value - current.totalBits.value
, scale := initial.totalBits.scale
}
/-!
═══════════════════════════════════════════════════════
PATTERN 5: SCALING / ALLOMETRY
All power-law, exponential, metabolic scaling equations.
═══════════════════════════════════════════════════════
-/
/-- Power-law scaling: Y = a · M^b · exp(-E/kT). -/
structure ScalingParams where
coefficient : Quantity -- a
exponent : Quantity -- b
activation : Quantity -- E (activation energy)
temperature : Quantity -- T
boltzmann : Quantity -- k
deriving Repr
/--
Allometric/metabolic scaling equation.
Maps to: Biophysics allometry, Metabolic scaling, MTE Master Equation,
Quarter-power laws, WBE Branching, Kleiber's law, Life History
-/
def allometricScaling (mass : Quantity) (params : ScalingParams) : Quantity :=
let massPow := mass.value ^ params.exponent.value -- M^b
let boltzExp := if params.temperature.value > 0 then
params.activation.value * params.boltzmann.value / params.temperature.value else 0
{ value := params.coefficient.value * massPow / max (boltzExp + 1) 1
, scale := params.coefficient.scale
}
/--
Arrhenius factor: k = A · exp(-E_a / RT)
Maps to: Thermodynamics, Arrhenius Equation, Informatic Stress,
QCL Energy Temperature Tuning
-/
def arrheniusFactor (activation temp gasConstant : Quantity) : Quantity :=
if temp.value = 0 then { value := 0, scale := 1 } else
{ value := activation.value * gasConstant.value / temp.value
, scale := 1 }
/--
Logistic/sigmoidal: f(X) = X^n / (K^n + X^n)
Maps to: Hill Regulation, Monod Equation, all LAYER_F_CONTROL
-/
def hillFunction (x threshold : Quantity) (n : Nat) : Quantity :=
let xn := x.value ^ n
let kn := threshold.value ^ n
{ value := xn * 1000 / max (kn + xn) 1
, scale := 1000 }
/-!
═══════════════════════════════════════════════════════
PATTERN 6: FEEDBACK / CONTROL
All dynamical systems, recurrence, update rules, homeostasis.
═══════════════════════════════════════════════════════
-/
/-- A generic feedback system state. -/
structure FeedbackState where
value : Quantity
integral : Quantity
previous : Quantity
deriving Repr
/-- PID-like controller: u(t) = Kp·e(t) + Ki·∫e + Kd·d(e)/dt. -/
structure PIDParams where
kp : Quantity
ki : Quantity
kd : Quantity
setpoint : Quantity
deriving Repr
/--
PID control update.
Maps to: Control Theory, Homeostatic Control, Biological Regulation,
all LAYER_F_CONTROL entries with feedback
-/
def pidUpdate (state : FeedbackState) (params : PIDParams) : FeedbackState :=
let error := params.setpoint.value - state.value.value
let pTerm := params.kp.value * error / max params.kp.scale 1
let iTerm := params.ki.value * state.integral.value / max params.ki.scale 1
let dTerm := params.kd.value * (state.value.value - state.previous.value) / max params.kd.scale 1
let output := pTerm + iTerm + dTerm
{ value := { value := state.value.value + output, scale := state.value.scale }
, integral := { value := state.integral.value + error, scale := state.integral.scale }
, previous := state.value
}
/--
Homeostatic stress dynamics: s = α·surprise + β·regret; p update with decay
Maps to: Homeostatic Control, Cognitive Load, Waveprobe Control
-/
structure HomeostaticParams where
alpha : Quantity -- surprise weight
beta : Quantity -- regret weight
decay : Quantity -- γ, pressure decay
canalWidth : Quantity -- λ₀
deriving Repr
/--
Canal deformation: λ = λ₀ · (σ + (1-σ)·e^{-ξ·p})
Maps to: Dynamic Canal Theory, all routing equations
-/
def canalWidth (pressure : Quantity) (params : HomeostaticParams) : Quantity :=
let decayTerm := params.decay.value * pressure.value / max params.decay.scale 1
{ value := params.canalWidth.value * 1000 / max (decayTerm + 1000) 1
, scale := 1000 }
/-!
═══════════════════════════════════════════════════════
PATTERN 7: CHAIN / PIPELINE
All sequential transformations, compression pipelines,
encoding/decoding chains.
═══════════════════════════════════════════════════════
-/
/-- A transformation in the pipeline. -/
structure Transform where
name : String
inputDim : Nat
outputDim : Nat
apply : List Quantity → List Quantity -- function stored as string (for Lean)
deriving Repr
/--
Pipeline: compose transforms in sequence.
Maps to: ALL SHIFTERS, Compression Pipelines, Data Encoding Chains
-/
def pipeline (input : List Quantity) (transforms : List Transform) : List Quantity :=
transforms.foldl (fun data t => t.apply data) input
/--
Token bucket: rate-limited pipeline stage.
Maps to: Manifold Token Bucket, Rate Limiting, Congestion Control
-/
def tokenBucket (tokens : Quantity) (rate : Quantity) (bucketSize : Quantity) (cost : Nat) : Quantity :=
let consumed := tokens.value - cost
let refilled := consumed + rate.value
{ value := min refilled bucketSize.value
, scale := tokens.scale
}
/-!
═══════════════════════════════════════════════════════
COMPLETE FAMILY → PATTERN MAP
Every family from MATH_MODEL_MAP.tsv mapped to its
dominant pattern(s).
═══════════════════════════════════════════════════════
-/
inductive UnifiedPattern where
| mass -- massNumber, phi, distance, autodoc
| gradient -- geodesic, Burgers, Navier-Stokes, F=ma
| coupling -- GWL, braid, oscillator, attention, phonon
| entropy -- Shannon, Kolmogorov, MI, information
| scaling -- allometry, Arrhenius, logistic, Hill
| feedback -- PID, homeostasis, update, recurrence
| chain -- pipeline, compression, encoding
deriving Repr
/--
Family → Pattern lookup.
Every family in the 329-member MATH_MODEL_MAP gets a primary and secondary pattern.
-/
def familyPattern (family : String) : UnifiedPattern × UnifiedPattern :=
match family with
-- MASS pattern (dominant)
| "RealityContractMassNumber" | "MassNumberMetricClosure" | "MassNumberAdapter"
| "MassNumberLinter" | "SemanticMass" | "PIST" | "PISTMachine" | "PISTBridge"
| "KDA Physics" | "Informatic Stress" | "Thermodynamic" | "Thermodynamics"
| "BEA Thermo Bridge" | "ThermodynamicSort" | "QCL Energy" | "Phonon Physics"
| "ShellModel" | "BracketShellCount" | "CognitiveLoad" | "Cognitive Load"
| "CriticalityDynamics" | "CompressionMaximization" | "CasimirMetaprobe"
| "QFactor" | "HydrogenicPhiTorsionBraid" => (UnifiedPattern.mass, UnifiedPattern.scaling)
-- GRADIENT pattern (dominant)
| "BurgersPDE" | "Burgers2DPDE" | "Burgers3DPDE" | "StochasticBurgersPDE"
| "ColeHopfTransform" | "Nonlinear PDEs" | "Fluid Dynamics" | "Aerodynamics"
| "GWL Geodesic Integration" | "GWL Geodesic Integration (Integrated)"
| "GWL Connection" | "GWL Riemannian Geometry" | "GWL Coordinate Charts"
| "Dyson Swarm Geodesics" | "Virtual Alcubierre" | "Manifold Dynamics"
| "Manifold Evolution" | "Geometric Algebra" | "Curvature"
| "ClassicalEuclideanGeometry" | "Physics" | "PhysicsScalar" | "PhysicsEuclidean"
| "ElectrostaticsMetaprobe" | "ElectromagneticSpectrum"
| "FEA Semi-Truck" | "Desalination" => (UnifiedPattern.gradient, UnifiedPattern.mass)
-- COUPLING pattern (dominant)
| "GWL Rotation" | "GWL Temporal" | "GWL State Space" | "GWL Throat"
| "GWL Chiral Interaction" | "GWL Ternary State"
| "Braid Field Theory" | "Braid Topology" | "BraidBracket" | "BraidField"
| "BraidCross" | "BraidStrand" | "BraidTopology"
| "DAG Force" | "Phonon Graph" | "PhononDamageTrace"
| "Non-Euclidean UV QUBO" | "RotationQUBO" | "TriangleManifold"
| "BoundaryDynamics" | "BracketedCalculus"
| "Topology" | "TopologicalAwareness" | "TopologicalPersistence"
| "KnotTheory" | "BraidTheory" | "Cache Sieve" | "CacheSieve"
| "AdversarialTopologyTest" => (UnifiedPattern.coupling, UnifiedPattern.entropy)
-- ENTROPY pattern (dominant)
| "EntropyMeasures" | "EntropyPhaseEngine" | "Information Theory"
| "MI Signal" | "MISignal" | "Cognitive Load" | "CognitiveLoad"
| "Hutter Prize" | "HutterPrizeFlow" | "HutterPrizeCompression"
| "Compression" | "CompressionControl" | "CompressionEvidence"
| "CompressionLossComparison" | "CompressionMaximization"
| "CompressionMechanics" | "CompressionMechanicsBridge"
| "DeltaGCL Compression" | "DeltaGCLCompression" | "DeltaGCL"
| "StreamCompression" | "CrossModalCompression"
| "PhiShellEncoding" | "VoxelEncoding" | "YangMillsCompression"
| "Huffman" | "StringStar" | "FibonacciEncoding"
| "AffineMappingLTSF" | "Time Series" | "EquationFractalEncoding"
| "Genomic Compression" | "SyntheticGeneticCoding"
| "CodonPeptideConsistency" | "CodonOTOM"
| "ExperienceCompression" | "ConnectomeLUT" | "GCLFieldEquationsMetaprobe"
| "CooperativeLUT" | "CanonSerialization" | "CanonAdapters" | "Canon"
| "ASCIIArtCompetition" | "ASCIIGen" | "ASCIIArtStore" => (UnifiedPattern.entropy, UnifiedPattern.chain)
-- SCALING pattern (dominant)
| "Biophysics" | "Biology" | "Ecology" | "Evolutionary Biology"
| "Evolutionary Dynamics" | "Population Genetics" | "Genetics"
| "Cell Biology" | "Molecular Biology" | "Developmental Biology"
| "Microbiology" | "Botany" | "Plant Physiology" | "Marine Biology"
| "Oceanography" | "Biogeochemistry" | "Mycology" | "Agriculture"
| "Metabolism" | "Life History" | "Physiology" | "Cardiac Physiology"
| "Biomechanics" | "Neuroscience" | "Neural Development"
| "Neurobiology" | "Neurodivergent" | "Cognitive Science"
| "Perception" | "Speech Science" | "Acoustic" | "Vision Science"
| "AuditoryMasking" | "AuditoryMechanicsLaws" | "AuditoryPerceptionLaws"
| "Chronobiology" | "Circadian Biology" | "Epigenetics"
| "Gerontology" | "Oncology" | "Immunology"
| "CorticalScaling" | "ConstructalMuscle" | "CardiacYield"
| "GenomicStoichiometric" | "LocomotionMuscle" | "ConstrainedEnergy"
| "Allometry" | "ScaleSpace" | "Chemical Ecology"
| "Biophotonics" | "BiologicalExergy" | "BiologicalControl"
| "BiologicalRegulation" | "AdvancedBio"
| "CancerMetabolic" | "CellularSignaling" => (UnifiedPattern.scaling, UnifiedPattern.entropy)
-- FEEDBACK pattern (dominant)
| "Control Theory" | "Homeostatic Control" | "Dynamic Canal Theory"
| "Waveprobe Control" | "Waveprobe QUBO" | "KDA Control"
| "WaveformWaveprobePipeline" | "Waveprobe"
| "Adaptation Theory" | "Adaptation"
| "FeedbackControl" | "OptimalControl" | "AdaptiveControl"
| "PIDControl" | "BiologicalRegulation" | "BiologicalControl"
| "FeedbackState" | "RegimeCore" | "CalibratedKernel"
| "SLUQ" | "SLUQTriage" | "SLUQQuaternionIntegration"
| "HotPathColdPath" | "RouteCost" | "Routing"
| "Manifold Routing" | "ManifoldNetworking" | "Manifold Networking"
| "AbelianSandpileRouting" | "Network Theory" | "NetworkTheory"
| "SIMDBranchPrediction" | "EtaMoE" | "SwarmMoERewiring"
| "SwarmCoordination" | "SwarmEmergence" | "SwarmRGFlow"
| "WitnessGrammar" | "Constitution" | "EpistemicHonesty"
| "TriumvirateEnforcer" | "Prohibited" => (UnifiedPattern.feedback, UnifiedPattern.chain)
-- CHAIN pattern (dominant)
| "HachimojiShifter" | "AEGISShifter" | "NaturalDNAShifter"
| "TranscriptionShifter" | "TranslationShifter" | "PNAShifter"
| "LNAShifter" | "SplicingShifter" | "PrionShifter"
| "SpiegelmerShifter" | "miRNA_Shifter" | "MorpholinoShifter"
| "LogisticMapShifter" | "GaloisRingShifter" | "SBoxShifter"
| "WireworldShifter" | "PISTShifter" | "PISTMirrorShifter"
| "PISTResonanceShifter" | "PistNUVMAPShifter"
| "DeltaGCLShifter" | "RunLengthShifter" | "HuffmanShifter"
| "DSEShifter" | "CellularAutomataShifter" | "STDPShifter"
| "SpikeTimingShifter" | "HyphalNetShifter"
| "BWTShifter" | "MTFShifter" | "ArithmeticCodingShifter"
| "LZWShifter" | "DeltaShifter"
| "MinimalOISC" | "OISC" | "CartridgeOISC"
| "AnalogDSP" | "VideoSynth" | "VoltageMath" | "NanoKernel"
| "Metaprobe" | "UnifiedMath" | "NES"
| "ASICTopology" | "AMMR" | "AVMR" | "AVMRTheorems" | "AVMRProofs"
| "AdaptiveFabric" | "AVMRFrameworkMetaprobe" | "AVMRInformation"
| "AgenticTheorems" | "AgenticOrchestration" | "AgenticHardware"
| "ArrayTest" | "Atoms" | "Basic" | "BaselineTest" | "ConservationTest"
| "CostEffectiveVerification" | "GPUVerificationMetaprobe"
| "Lean4ImprovementProofs" => (UnifiedPattern.chain, UnifiedPattern.mass)
-- Default: entropy + chain (catch-all)
| _ => (UnifiedPattern.entropy, UnifiedPattern.chain)
/-!
═══════════════════════════════════════════════════════
PATTERN COMBINATOR: apply ALL patterns to data
═══════════════════════════════════════════════════════
-/
/-- A unified evaluation result across all seven patterns. -/
structure UnifiedResult where
massScore : Option Ratio
gradientVal : Option Quantity
couplingVal : Option Quantity
entropyVal : Option Entropy
scalingVal : Option Quantity
feedbackVal : Option FeedbackState
chainVal : Option (List Quantity)
deriving Repr
/-- Collapse all patterns into a single unified output. -/
def unify (input : List Quantity) (contribs : List Contribution) (risk : RiskVector) : UnifiedResult :=
{ massScore := some (massNumber contribs risk)
, gradientVal := none -- placeholder
, couplingVal := none -- placeholder
, entropyVal := none -- placeholder
, scalingVal := none -- placeholder
, feedbackVal := none -- placeholder
, chainVal := some input
}
end UnifiedFunction
end HolyDiver