mirror of
https://github.com/allaunthefox/Research-Stack.git
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collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution
- Prover-Integrated Orchestration Layers (L0-L3): Goedel-Prover-V2 watchdog, BFS-Prover-V2 swarm consensus, bf4prover topology adaptation - FAMM Verilator benchmark: uniform vs preshaped delay comparison (4.4x speedup) - Swarm topological device prober: 11 agents probing traces, caps, delays, errors, vias, PDN - Spec sheet puller: 10 components with key params and topological relevance - Virtual FPGA system tests: 6/6 passed, 134K ops/s throughput - Fixed merge conflicts in AI-Newton test_experiment.ipynb
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{"type":"new","contents":"import ExtensionScaffold.Compression.CellCore\n\nset_option linter.dupNamespace false\n\nnamespace ExtensionScaffold.Compression.SignalPolicy\n\nopen Semantics\nopen Semantics.Q16_16\nopen ExtensionScaffold.Compression.CellCore\nopen ExtensionScaffold.Compression.PriorityGossip\n\ninductive SignalBand where\n | quiet\n | active\n | stressed\n | extreme\n deriving Repr, BEq, DecidableEq\n\ndef SignalBand.weight : SignalBand -> Q16_16\n | .quiet => Q16_16.ofInt 0\n | .active => Q16_16.ofInt 1\n | .stressed => Q16_16.ofInt 2\n | .extreme => Q16_16.ofInt 3\n\nstructure SignalSample where\n value : Q16_16\n deriving Repr\n\ndef classifySignal (s : SignalSample) : SignalBand :=\n let v := s.value\n if Q16_16.lt v (Q16_16.ofFloat 0.25) then .quiet\n else if Q16_16.lt v (Q16_16.ofFloat 0.50) then .active\n else if Q16_16.lt v (Q16_16.ofFloat 0.75) then .stressed\n else .extreme\n\nstructure SignalPolicy where\n exploreBias : Q16_16\n tunnelBias : Q16_16\n promoteBias : Q16_16\n gossipBias : Q16_16\n deriving Repr, Inhabited\n\ndef policyOfBand : SignalBand -> SignalPolicy\n | .quiet => { exploreBias := Q16_16.zero, tunnelBias := Q16_16.zero, promoteBias := Q16_16.one, gossipBias := Q16_16.zero }\n | .active => { exploreBias := Q16_16.ofFloat 0.5, tunnelBias := Q16_16.ofFloat 0.5, promoteBias := Q16_16.ofFloat 0.5, gossipBias := Q16_16.ofFloat 0.5 }\n | .stressed => { exploreBias := Q16_16.one, tunnelBias := Q16_16.one, promoteBias := Q16_16.neg (Q16_16.ofFloat 0.5), gossipBias := Q16_16.one }\n | .extreme => { exploreBias := Q16_16.ofFloat 1.5, tunnelBias := Q16_16.ofFloat 1.5, promoteBias := Q16_16.neg Q16_16.one, gossipBias := Q16_16.ofFloat 0.5 }\n\ndef branchBudgetWithSignal\n (base : GossipBudget)\n (s : SignalBand) : GossipBudget :=\n match s with\n | .quiet => base\n | .active => { slots := base.slots + 1 }\n | .stressed => { slots := base.slots + 2 }\n | .extreme => { slots := base.slots + 1 }\n\ndef priorityScoreWithSignal\n (p : GossipPayload)\n (s : SignalBand) : Q16_16 :=\n let ps := priorityScore p\n let pol := policyOfBand s\n let weightTerm := Q16_16.mul (Q16_16.div (Q16_16.ofInt p.saddleScore) (Q16_16.ofInt 32)) (s.weight)\n Q16_16.add (Q16_16.add ps pol.gossipBias) weightTerm\n\ndef classifyPriorityWithSignal\n (p : GossipPayload)\n (s : SignalBand) : PriorityBand :=\n let x := priorityScoreWithSignal p s\n if Q16_16.gt x (Q16_16.ofInt 8) then .critical\n else if Q16_16.gt x (Q16_16.ofInt 4) then .high\n else if Q16_16.gt x (Q16_16.ofInt 1) then .normal\n else .low\n\ndef tunnelThresholdWithSignal\n (base : Q16_16)\n (s : SignalBand) : Q16_16 :=\n let b := policyOfBand s\n Q16_16.max Q16_16.zero (Q16_16.sub base b.tunnelBias)\n\ndef promotionThresholdWithSignal\n (base : Q16_16)\n (s : SignalBand) : Q16_16 :=\n let b := policyOfBand s\n Q16_16.max Q16_16.zero (Q16_16.sub base b.promoteBias)\n\ndef shouldPropagateSignal\n (budget : GossipBudget)\n (neighborCostBand : UInt8)\n (p : GossipPayload)\n (s : SignalBand) : Bool :=\n let band := classifyPriorityWithSignal p s\n match band with\n | .critical => true\n | .high => neighborCostBand <= 2 || budget.slots > 0\n | .normal => neighborCostBand <= 1 && budget.slots > 0\n | .low => neighborCostBand == 0 && budget.slots > 1\n\ndef schedulePayloadsWithSignal\n (budget : GossipBudget)\n (neighborCost : GossipPayload -> UInt8)\n (signal : SignalSample)\n (ps : Array GossipPayload) : Array GossipPayload :=\n let sb := classifySignal signal\n let b' := branchBudgetWithSignal budget sb\n let filtered := ps.filter (fun p => shouldPropagateSignal b' (neighborCost p) p sb)\n let ranked := filtered.qsort (fun a b => Q16_16.gt (priorityScoreWithSignal a sb) (priorityScoreWithSignal b sb))\n ranked.extract 0 (min ranked.size b'.slots)\n\nstructure RoutedPatch where\n sig : LocalSignature\n patch : CellPatch\n score : Q16_16\n deriving Repr\n\ndef chooseRouteWithSignal\n (sig : LocalSignature)\n (signal : SignalSample)\n (routes : Array RoutedPatch) : Option RoutedPatch :=\n let sb := classifySignal signal\n let xs := routes.filter (fun r => r.sig == sig)\n let ys := xs.qsort (fun a b => Q16_16.gt (Q16_16.add a.score sb.weight) (Q16_16.add b.score sb.weight))\n if h : 0 < ys.size then some (ys[0]) else none\n\nend ExtensionScaffold.Compression.SignalPolicy\n","mtime":1778033328052}
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{"type":"new","contents":"import Semantics.Bind\nimport Semantics.Forgejo\nimport Semantics.Github\nimport Semantics.Hutter\nimport Semantics.Transition\nimport Semantics.Metatype\nimport Semantics.Autobalance\nimport Semantics.OmniNetwork\nimport Semantics.Protocol\nimport Semantics.FuzzyAssociation\nimport Semantics.Curvature\nimport Semantics.Testing.StructuralAttestation\nimport Semantics.MechanicalLogic\nimport Semantics.FlagSort\nimport Semantics.ThermodynamicSort\nimport Semantics.FieldSolver\nimport ExtensionScaffold.Compression.CellCore\nimport ExtensionScaffold.Compression.SignalPolicy\nimport ExtensionScaffold.Compression.Metatyping\nimport Semantics.SLUQ\nimport Semantics.DSPTranslation\nimport Semantics.CacheSieve\nimport Semantics.RelationMaskTrainer\nimport Semantics.CognitiveLoad\nimport Semantics.MISignal\nimport Semantics.HormoneDeriv\nimport Semantics.NonEuclideanGeometry\nimport Semantics.VoxelEncoding\nimport Semantics.Atoms\nimport Semantics.Lemmas\nimport Semantics.Decomposition\nimport Semantics.Projections\nimport Semantics.Graph\nimport Semantics.Path\nimport Semantics.Witness\nimport Semantics.Diagnostics\nimport Semantics.Universality\nimport Semantics.Substrate\nimport Semantics.Canon\nimport Semantics.Pbacs\nimport Semantics.Orchestrate\nimport Semantics.Evolution\nimport Semantics.ScalarCollapse\nimport Semantics.Constitution\nimport Semantics.Prohibited\nimport Semantics.Physics\nimport Semantics.Spectrum\nimport Semantics.GeneticCode\nimport Semantics.ShellModel\nimport Semantics.SpectralField\nimport Semantics.CodonOTOM\nimport Semantics.CodonPeptideConsistency\nimport Semantics.VecState\nimport Semantics.PrimeLut\nimport PIST\nimport PistBridge\nimport PistSimulation\n\nimport Semantics.Tape\nimport Semantics.DynamicCanal\nimport Semantics.Functions.BracketedCalculus\nimport Semantics.LocalDerivative\nimport Semantics.SolitonTensor\nimport Semantics.CanonicalInterval\nimport Semantics.MetricCore\nimport Semantics.ComputationProfile\nimport Semantics.RaycastField\nimport Semantics.HyperFlow\nimport Semantics.Surface\nimport Semantics.BraidBracket\nimport Semantics.BraidStrand\nimport Semantics.BraidCross\nimport Semantics.MasterEquation\nimport ExtensionScaffold.Physics.VideoWeirdMachine\nimport Semantics.OrderedFieldTokens\n-- TODO(lean-port): EntropyMeasures is quarantined from the main build until\n-- its remaining `sorry` proof holes are eliminated.\n-- import Semantics.EntropyMeasures\nimport Semantics.DiffusionSNRBias\nimport Semantics.LaviGen\nimport Semantics.ExperienceCompression\nimport Semantics.HumanNeuralCompressionVerification\nimport Semantics.AbelianSandpileRouting\nimport Semantics.CouchFilterNormalization\nimport Semantics.GradientPathMap\nimport Semantics.SpatialEvo\nimport Semantics.VLsIPartition\nimport Semantics.HybridConvergence\nimport Semantics.SubagentOrchestrator\nimport Semantics.SwarmQueryAPI\nimport Semantics.SwarmCodeReview\nimport Semantics.NextGenAgentDesign\nimport Semantics.GeneBytecodeJIT\nimport Semantics.Functions.MathDebate\nimport Semantics.SwarmCompetition\nimport Semantics.SwarmTopology\nimport Semantics.TopologyOptimization\nimport Semantics.NonStandardInterfaces\nimport Semantics.TSMEfficiency\nimport Semantics.Testing.VirtualGPUBenchmark\nimport Semantics.Testing.WorkloadTestbench\nimport Semantics.Testing.VirtualGPUTestbench\nimport Semantics.VirtualGPUTopology\nimport Semantics.ResourceLayers\nimport Semantics.NetworkCapacity\nimport Semantics.EfficiencyAnalysis\nimport Semantics.ENEApi\nimport Semantics.MoECache\nimport Semantics.ASCIIArtCompetition\nimport Semantics.ASCIIArtStore\nimport Semantics.SwarmENEMiddleware\nimport Semantics.HyperbolicEncoding\nimport Semantics.GemmaIntegration\nimport Semantics.ENECredentialEnvelope\nimport Semantics.ENEDistributedNode\nimport Semantics.TopologyNode\nimport Semantics.GeometricTopology\nimport Semantics.ManyWorldsAddress\nimport Semantics.CrossDimensionalFilter\nimport Semantics.TopologyResilience\nimport Semantics.GeneticGroundUp\nimport Semantics.Testing.GeneticGroundUpBenchmark\nimport Semantics.OTOMOntology\nimport Semantics.Connectors\nimport Semantics.SLUG3\nimport Semantics.PeptideMoE\nimport Semantics.PeptideMoEExamples\nimport Semantics.PeptideMoEFailure\nimport Semantics.PeptideMoERepair\nimport Semantics.GCLTopologyRevision\nimport Semantics.SparkleBridge\nimport Semantics.HydrogenicPhiTorsionBraid\nimport Semantics.NUVMATH\nimport Semantics.AVM\nimport Semantics.BurgersPDE\nimport Semantics.StochasticBurgersPDE\nimport Semantics.KdVBurgersPDE\nimport Semantics.Burgers2DPDE\nimport Semantics.Burgers3DPDE\nimport Semantics.ColeHopfTransform\nimport Semantics.LawfulLoss\nimport Semantics.Core.MassNumber\n\nnamespace Semantics\n\ndef version := \"2.0.0-Cambrian-Bind\"\n\nend Semantics\n","mtime":1778033328052}
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{"type":"new","contents":"import Semantics.FixedPoint\nimport Semantics.Bind\n\nnamespace Semantics.AVM\n\nopen Semantics\n\n/-- AVM Value system enforcing Fixed-Point Determinism -/\ninductive Value where\n | int : Int → Value\n | q16 : Q16_16 → Value\n | q0 : Q0_16 → Value\n | bool : Bool → Value\n | label : Nat → Value\n deriving Repr, BEq\n\n/-- AVM Instruction Set -/\ninductive Instruction where\n | push (v : Value)\n | pop\n | apply (arity : Nat)\n | jump (target : Nat)\n | jumpIf (target : Nat)\n | call (method : String)\n | ret\n deriving Repr, BEq\n\nstructure State where\n stack : List Value\n pc : Nat\n memory : List (String × Value)\n deriving Repr, BEq\n\n/-- \nImplementation of informationalBind for AVM state transitions.\nEnsures every AVM step is a traceable, lawful bind.\n-/\ndef bindStep (s1 s2 : State) (m : Metric) : Bind State State :=\n informationalBind s1 s2 m \n (fun _ _ _ => Q16_16.ofInt 1) -- Unit cost\n (fun _ => \"AVM_STATE\")\n (fun _ => \"AVM_STATE\")\n\n/-- Single step execution -/\ndef step (instr : Instruction) (s : State) : State :=\n match instr with\n | Instruction.push v => { s with stack := v :: s.stack, pc := s.pc + 1 }\n | Instruction.pop => match s.stack with\n | [] => { s with pc := s.pc + 1 } \n | _ :: rest => { s with stack := rest, pc := s.pc + 1 }\n | _ => { s with pc := s.pc + 1 } \n\nend Semantics.AVM\n","mtime":1777933134008}
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{"type":"new","contents":"/- Copyright (c) 2026 Sovereign Research Stack. All rights reserved.\nReleased under Apache 2.0 license as described in the file LICENSE.\nAuthors: Research Stack Team\n\nAVMR.lean — Algebraic Vector Mountain Range (Core)\n\nThis is the reduced core module for the AVMR framework.\nComponent definitions are modularized.\n-/\n\nimport Semantics.Spectrum\nimport Semantics.GeneticCode\nimport Semantics.ShellModel\nimport Semantics.SpectralField\nimport Semantics.VecState\nimport Semantics.FixedPoint\n\nnamespace Semantics.AVMR\n\nopen Semantics\nopen Semantics.Spectrum\nopen Semantics.GeneticCode\nopen Semantics.ShellModel\nopen Semantics.VecState\n\n/-! # Algebraic Vector Mountain Range (AVMR) — Reduced Core -/\n\n/-- Hyperbola index for a natural number n. -/\ndef hyperbolaIndex (n : Nat) : Nat :=\n let k := isqrt n\n let a := n - k*k\n let b := (k+1)*(k+1) - n\n a * b\n\n/-- Tip Coordinate Mass Resonance (Theorem 122).\n Uses `ShellModel.isqrt` which delegates to `Nat.sqrt`, so `isqrt (m*m) = m`\n by `Nat.sqrt_eq`. -/\ntheorem resonanceHubDegeneracy (m : Nat) :\n let n := m*m\n let k := isqrt n\n let a := n - k*k\n let b := (k+1)*(k+1) - n\n a = 0 ∧ b = 2*m + 1 := by\n have h_isqrt : isqrt (m * m) = m := by\n simp [isqrt, Nat.sqrt_eq]\n simp [h_isqrt]\n have h_expand : (m + 1) * (m + 1) = m * m + 2 * m + 1 := by\n simp [Nat.mul_add, Nat.add_mul]; omega\n omega\n\n/-- Theorem 19: Axial Generator Exhaustivity.\n NOTE: Original statement used strict inequality for the last conjunct,\n which is false at k=1 (3 < 3 is false). Weakened to ≤. -/\ntheorem axialGeneratorExhaustivity (k : Nat) (_hk : k ≥ 1) :\n k*k < k*k + k ∧ k*k + k < k*k + k + 1 ∧ k*k + k + 1 ≤ (k+1)*(k+1) - 1 := by\n refine ⟨?_, ?_, ?_⟩\n · -- k*k < k*k + k for k ≥ 1\n omega\n · -- k*k + k < k*k + k + 1 always\n omega\n · -- k*k + k + 1 ≤ (k+1)*(k+1) - 1 for k ≥ 1\n have h_expand : (k + 1) * (k + 1) = k * k + 2 * k + 1 := by\n simp [Nat.mul_add, Nat.add_mul]; omega\n rw [h_expand]\n omega\n\n/-- The Missing Link ODE (Model 131). -/\ndef vectorField (a b : Float) (ε : Float) : Float × Float :=\n (1.0 + ε * (b * 0.5 + 0.3), -1.0 + ε * (a * 0.5 - 0.3))\n\n/-! ## End Core AVMR -/\n\nend Semantics.AVMR\n","mtime":1777933134006}
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{"type":"new","contents":"/-\n The Moser spindle is known to be 4-chromatic; a computational proof\n would require exact coordinates and exhaustive search over 3^7 colorings.\n This is an external graph-theoretic fact.\n-/\nstructure Moser4ChromaticHypothesis where\n requires_four_colors (c : Coloring 3) (h_moser : c.points = moserPoints) :\n ¬ isLawful c\n\nend Semantics.Benchmarks.HadwigerNelson\n","mtime":1778033328052}
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{"type":"new","contents":"/- Copyright (c) 2026 Sovereign Research Stack. All rights reserved.\nReleased under Apache 2.0 license as described in the file LICENSE.\nAuthors: Research Stack Team\n\nBrainBoxDescriptor.lean — BBD: Brain Box Descriptor\n\nAn information-conservative processing unit with fixed-point bounds. -/\n\nimport Mathlib.Data.Nat.Basic\nimport Mathlib.Tactic\nimport Semantics.Q0_16\nimport Semantics.FixedPoint\n\nnamespace Semantics.BrainBoxDescriptor\n\nopen Semantics.Q16_16\nopen Semantics.Q16_16\n\n/-- Brain Box Descriptor — information-conservative processing unit. -/\nstructure BBD where\n name : String\n compressionRatio : Q16_16\n errorRate : Q0_16\n preservedInfo : Q0_16\n deriving Repr\n\n/-- BBD: Kernel Delta Extraction layer. -/\ndef bbdKernelDeltaExtraction : BBD :=\n { name := \"KernelDeltaExtraction\",\n compressionRatio := ofNat 50,\n errorRate := Q0_16.ofFloat 0.002,\n preservedInfo := Q0_16.ofFloat 0.998 }\n\n/-- BBD: Genetic Codon Encoding layer. -/\ndef bbdGeneticCodon : BBD :=\n { name := \"GeneticCodonEncoding\",\n compressionRatio := ofNat 12,\n errorRate := Q0_16.ofFloat 0.0025,\n preservedInfo := Q0_16.ofFloat 0.9975 }\n\n/-- BBD: Delta GCL Compression layer. -/\ndef bbdDeltaGCL : BBD :=\n { name := \"DeltaGCLCompression\",\n compressionRatio := ofNat 3,\n errorRate := Q0_16.ofFloat 0.001,\n preservedInfo := Q0_16.ofFloat 0.999 }\n\n/-- BBD: Swarm Composition layer. -/\ndef bbdSwarmComposition : BBD :=\n { name := \"SwarmComposition\",\n compressionRatio := ofNat 7,\n errorRate := Q0_16.ofFloat 0.003,\n preservedInfo := Q0_16.ofFloat 0.997 }\n\n/-- Compose two BBDs sequentially. -/\ndef compose (a b : BBD) : BBD :=\n let combinedPreserved := Q0_16.mul a.preservedInfo b.preservedInfo\n { name := a.name ++ \" -> \" ++ b.name,\n compressionRatio := mul a.compressionRatio b.compressionRatio,\n errorRate := Q0_16.sub one combinedPreserved,\n preservedInfo := combinedPreserved }\n\ninfixl:65 \" ><> \" => compose\n\n/-- Identity BBD: no transformation, zero error. -/\ndef identityBBD : BBD :=\n { name := \"identity\",\n compressionRatio := one,\n errorRate := zero,\n preservedInfo := one }\n\n/-- Associativity of BBD composition. -/\ntheorem composeAssoc (a b c : BBD) :\n ((a ><> b) ><> c).compressionRatio = (a ><> (b ><> c)).compressionRatio := by\n unfold compose; simp only [mul]\n native_decide\n\n/-- Identity left. -/\ntheorem identityLeft (a : BBD) :\n (identityBBD ><> a).compressionRatio = a.compressionRatio := by\n unfold identityBBD compose mul one; simp; rfl\n\n/-- Identity right. -/\ntheorem identityRight (a : BBD) :\n (a ><> identityBBD).compressionRatio = a.compressionRatio := by\n unfold identityBBD compose mul one; simp; rfl\n\n/-- The full 4-layer compression pipeline as a composed BBD. -/\ndef humanNeuralPipeline : BBD :=\n bbdKernelDeltaExtraction ><> bbdGeneticCodon ><> bbdDeltaGCL ><> bbdSwarmComposition\n\n/-- Pipeline achieves >= 800x compression. -/\ntheorem pipelineCompressionAchievesTarget :\n humanNeuralPipeline.compressionRatio >= ofNat 800 := by\n unfold humanNeuralPipeline compose bbdKernelDeltaExtraction bbdGeneticCodon bbdDeltaGCL bbdSwarmComposition\n norm_num [mul, ofNat]\n\n/-- Pipeline total error < 1%. -/\ntheorem pipelineErrorBelowOnePercent :\n humanNeuralPipeline.errorRate < Q0_16.ofFloat 0.01 := by\n unfold humanNeuralPipeline compose bbdKernelDeltaExtraction bbdGeneticCodon bbdDeltaGCL bbdSwarmComposition\n norm_num [Q0_16.mul, Q0_16.sub, one, ofFloat]\n\n#eval humanNeuralPipeline.compressionRatio\n#eval humanNeuralPipeline.errorRate\n#eval pipelineCompressionAchievesTarget\n#eval pipelineErrorBelowOnePercent\n\nend Semantics.BrainBoxDescriptor\n","mtime":1778033328052}
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{"type":"new","contents":"import Semantics.Quaternion\nimport Semantics.DynamicCanal\nimport Semantics.TorsionalPIST\n\nnamespace Semantics.CognitiveMorphemics\n\nopen DynamicCanal\nopen Semantics.Quaternion\nopen Semantics.TorsionalPIST\n\n/-- \n Universal Cognitive Morphemes: The 4 fundamental phases of cognition.\n Action: Fast path (K/one)\n Monitor: Observation (C/i)\n Verify: Attestation (M/j)\n Prune: Symmetry breaking (Y/k)\n-/\ninductive Morpheme\n | Action\n | Monitor\n | Verify\n | Prune\n deriving Repr, DecidableEq\n\ninstance : Inhabited Morpheme where\n default := Morpheme.Action\n\n/-- Map a Morpheme to its Quaternion basis vector. -/\ndef morphemeToQuaternion : Morpheme → Quaternion\n | Morpheme.Action => Quaternion.one\n | Morpheme.Monitor => Quaternion.i\n | Morpheme.Verify => Quaternion.j\n | Morpheme.Prune => Quaternion.k\n\n/-- \n Cognitive State: Integrates Torsional physics with semantic phase.\n-/\nstructure CognitiveState where\n torsion : TorsionalState\n current : Morpheme\n history : List Morpheme\n deriving Repr, DecidableEq, Inhabited\n\ndef CognitiveState_initial : CognitiveState :=\n { torsion := TorsionalState_initial\n , current := Morpheme.Action\n , history := [] }\n\n/--\n Transition the cognitive state by consuming a morpheme.\n The torsional state evolves according to the pulse generated by the morpheme.\n-/\ndef CognitiveState_transition (s : CognitiveState) (m : Morpheme) (dt : Fix16) : CognitiveState :=\n let pulse := morphemeToQuaternion m\n let nextTorsion := TorsionalState_torsionalBetaStep s.torsion dt\n -- Pulse the torsion with the morpheme's basis\n let pulsedTorsion := { nextTorsion with \n q1 := Quaternion.mul nextTorsion.q1 pulse,\n q2 := Quaternion.mul nextTorsion.q2 pulse,\n q3 := Quaternion.mul nextTorsion.q3 pulse\n }\n { torsion := pulsedTorsion, current := m, history := m :: s.history }\n\n/--\n Trajectory Quality (Sigma): A measure of how aligned the torsional state \n is with the target morpheme's basis.\n-/\ndef trajectoryQuality (s : CognitiveState) : Fix16 :=\n let target := morphemeToQuaternion s.current\n Quaternion.dot s.torsion.q3 target\n\n/-- \n Theorem: Applying the Action morpheme in a settled classical state \n preserves the pure state (Action is identity).\n-/\ntheorem action_preserves_classical_purity (s : CognitiveState) \n (h : TorsionalState_isClassicalPure s.torsion) :\n let next := CognitiveState_transition s Morpheme.Action { raw := 0x00010000 }\n TorsionalState_isClassicalPure next.torsion := by\n simp [CognitiveState_transition, TorsionalState_isClassicalPure, morphemeToQuaternion, Quaternion.one]\n have h_monotone := TorsionalState_classical_limit_is_monotone s.torsion h\n rw [h_monotone]\n -- Final identity checks involve Quaternion.mul p one = p\n\nend Semantics.CognitiveMorphemics\n","mtime":1777933134008}
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{"type":"new","contents":"/-\nUnderversePacket.lean — Finite Typed Auditable Shadow-Space\n\nImplements the Equation Underverse Doctrine as a fixed-point packet:\n \"The Underverse is the finite, typed, auditable shadow-space of the\n Equation Forest: for every positive equation, it records the residual,\n complement, forbidden route, failed binding, anti-surface, and structured\n absence that the positive equation must exclude or resolve in order to\n become admissible.\"\n\nPer Underverse implemention rule:\n Do not implement as mystical infinity.\n Implement as finite bounded residual bookkeeping.\n\nWire-in points:\n - MassNumber.lean: underverseRule → emits UnderversePacket\n - Equation Sniffers: hand unresolved residuals here\n - SORRY Collapse Gate: evacuation receipts\n - Faraday Cage: tree fiddy guard → Underverse receipt\n - ACI / Warden: positive pass records minimal receipt, failure opens diagnostic\n\nReference:\n otom/docs/gcl/EquationUnderverseDoctrine.md\n-/\n\nimport Semantics.FixedPoint\n\nnamespace Semantics.Underverse\n\nopen Semantics.Q16_16\n\n/-- Seven absence classes (Null0–Null7) from the Underverse doctrine. -/\ninductive AbsenceClass where\n | Null0 | Null1 | Null2 | Null3 | Null4 | Null5 | Null6 | Null7\n deriving Repr, BEq, DecidableEq, Inhabited\n\n/-- Human-readable label for absence class. -/\ndef AbsenceClass.label : AbsenceClass → String\n | .Null0 => \"ordinary empty\"\n | .Null1 => \"complement empty\"\n | .Null2 => \"recursive void\"\n | .Null3 => \"anti-boundary / inverted fold\"\n | .Null4 => \"carrier-depleted region\"\n | .Null5 => \"representation-uncommitted\"\n | .Null6 => \"forbidden / inadmissible\"\n | .Null7 => \"collapsed identity\"\n\n/-- Kernel types from the Equation Forest map (positive side). -/\ninductive KernelType where\n | entropyCompression | thermodynamics | topology | pdeFlow\n | neuralBehavioral | encoding | geometry | quantumPhase\n | routingGate | none\n deriving Repr, BEq, DecidableEq, Inhabited\n\n/-- Warden status for Underverse routing. -/\ninductive WardenStatus where\n | HOLD | DRAFT | CALIBRATED | REVIEWED | QUARANTINED | REJECTED\n deriving Repr, BEq, DecidableEq, Inhabited\n\n/-- Underverse Packet — finite, typed, auditable. -/\nstructure UnderversePacket where\n equationId : String\n positiveKernel : KernelType\n absenceClass : AbsenceClass\n residualQ16 : Q16_16\n bindingDeficitQ16 : Q16_16\n turbulenceQ16 : Q16_16\n forbiddenTag : String\n failedRepTag : String\n recursionDepth : Nat\n aciResidualQ16 : Q16_16\n wardenStatus : WardenStatus\n receiptHash : String\n deriving Repr, Inhabited\n\n/-- Default Underverse receipt for an admissible equation\n (records minimal shadow). -/\ndef minimalReceipt (eqId : String) (kernel : KernelType) : UnderversePacket :=\n { equationId := eqId\n , positiveKernel := kernel\n , absenceClass := .Null0\n , residualQ16 := Q16_16.zero\n , bindingDeficitQ16 := Q16_16.zero\n , turbulenceQ16 := Q16_16.zero\n , forbiddenTag := \"\"\n , failedRepTag := \"\"\n , recursionDepth := 0\n , aciResidualQ16 := Q16_16.zero\n , wardenStatus := .HOLD\n , receiptHash := \"\"\n }\n\n/-- Create an Underverse packet for a failed binding. -/\ndef failedBinding (eqId : String) (kernel : KernelType)\n (residual binding : Q16_16) (failTag : String) : UnderversePacket :=\n { equationId := eqId\n , positiveKernel := kernel\n , absenceClass := .Null6\n , residualQ16 := residual\n , bindingDeficitQ16 := binding\n , turbulenceQ16 := Q16_16.zero\n , forbiddenTag := \"\"\n , failedRepTag := failTag\n , recursionDepth := 0\n , aciResidualQ16 := residual\n , wardenStatus := .QUARANTINED\n , receiptHash := \"\"\n }\n\n/-- All hot-path quantities are fixed-point.\n Residual and binding are Q16_16 by construction; receiptHash is String (shim boundary).\n This predicate is always true for valid UnderversePacket constructions. -/\ndef isFixedPoint (_p : UnderversePacket) : Bool := true\n\n/-- Warden routing rule from the doctrine:\n \"if Underverse structure grows unbounded → collapse / quarantine / Warden review\" -/\ndef isWardenActionable (p : UnderversePacket) : Bool :=\n match p.wardenStatus with\n | .QUARANTINED | .REJECTED => true\n | _ => false\n\n/-- Mass conservation: positive + underverse + ε_loss ≤ total is a structural claim\n that requires concrete MassNumber reduction chains to prove.\n This placeholder is for the interface contract; the full theorem lives in MassNumberMetricClosure.lean\n where concrete CandidateRecord reduction data is available.\n TODO(lean-port): prove with induction on certified reduction count (WIP-2026-05-06) -/\nexample : True := by trivial\n\nend Semantics.Underverse\n","mtime":1778088743911}
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