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338 lines
20 KiB
Text
338 lines
20 KiB
Text
/- Copyright (c) 2026 Sovereign Research Stack. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Authors: Research Stack Team
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OTOMOntology.lean — Formal Organization of All Work Under OTOM Label
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This module establishes OTOM (Ordered Transformation & Orchestration Model) as the
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unifying label for all Research Stack work. It formalizes the hierarchical organization
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of 102 modules, 14 domains, and 5 subsystems under a single coherent framework.
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OTOM v2.2 (2026-04-21): +14 modules added:
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- GenomicCompression.lean (Compression domain)
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- CrossModalCompression.lean (Compression domain)
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- ResearchAgent.lean (Cognitive/Control domain)
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- AgenticOrchestration.lean (Cognitive/Control domain)
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- BracketShellCount.lean (Braid/Algebra domain)
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- RotationQUBO.lean (Field/Physics domain)
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- TriangleManifold.lean (Field/Physics domain)
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- NGemetry.lean (Spatial/VLSI domain)
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- NNonEuclideanGeometry.lean (Geometry domain)
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- UnifiedDomainTheory.lean (Core domain)
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- HutterPrizeCompression.lean (Compression domain)
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- CompressionMaximization.lean (Compression domain)
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- GeneticCodeOptimization.lean (Core domain)
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- UnifiedConvictionFlow.lean (Core domain)
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OTOM Structure:
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┌─────────────────────────────────────────────────────────────────────────────┐
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│ OTOM (Ordered Transformation & Orchestration Model) │
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├─────────────────────────────────────────────────────────────────────────────┤
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│ Core Layer (9 modules) │
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│ ├── Bind.lean — The primitive: (A × B × Metric) → Bind A B │
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│ ├── Metatype.lean — Type-level metaprogramming │
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│ ├── Transition.lean — State machine transitions │
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│ ├── Protocol.lean — Communication protocols │
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│ ├── HybridConvergence.lean — Cross-domain theorems │
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│ ├── SubagentOrchestrator.lean — Multi-agent coordination │
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│ ├── Evolution.lean — Agent state evolution │
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│ └── Canon.lean — Canonical forms and normalization │
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├─────────────────────────────────────────────────────────────────────────────┤
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│ Domain Layers (14 domains, 80 modules) │
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│ ├── Compression (7) — ExperienceCompression, EntropyMeasures... │
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│ ├── Spatial/VLSI (5) — SpatialEvo, VLsIPartition, VoxelEncoding... │
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│ ├── Diffusion/Flow (6) — DiffusionSNRBias, LaviGen, ManifoldFlow... │
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│ ├── Memory/State (9) — SSMS, Timing, Tape, CacheSieve... │
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│ ├── PIST/Shell (6) — PIST, PistBridge, ShellModel... │
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│ ├── Field/Physics (12) — FieldSolver, Spectrum, Waveprobe... │
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│ ├── Evolution/Search (8) — OrderedFieldTokens, SSMS_nD, ScalarCollapse... │
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│ ├── Braid/Algebra (5) — BraidCross, MasterEquation, UniversalCoupling..│
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│ ├── Kernel/Domain (4) — DomainKernel, CalibratedKernel... │
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│ ├── Cognitive/Control (5)— CognitiveLoad, MISignal, HormoneDeriv... │
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│ ├── Geometry (6) — StructuralAttestation, MechanicalLogic... │
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│ ├── Thermodynamic (4) — ThermodynamicSort, FlagSort, SLUQ... │
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│ └── Diagnostic (3) — Diagnostics, Universality, Prohibited │
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├─────────────────────────────────────────────────────────────────────────────┤
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│ Interface Layers │
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│ ├── kimi/ — Kimi model integration (GitHub:allaun/OTOM) │
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│ ├── otmi/ — Ordered Transformation Model Interface │
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│ ├── Substrate (1) — Hardware abstraction layer │
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│ └── AVMR (1) — Abstract Virtual Machine Runtime │
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└─────────────────────────────────────────────────────────────────────────────┘
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Per AGENTS.md §0: Lean is ground truth.
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Per AGENTS.md §2: PascalCase types, camelCase functions.
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Per AGENTS.md §4: Every def has eval witness or theorem.
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-/
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import Mathlib.Data.Nat.Basic
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import Mathlib.Data.List.Basic
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import Mathlib.Data.Finset.Basic
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namespace Semantics.OTOM
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §0 OTOM Identity and Version
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- OTOM (Ordered Transformation & Orchestration Model) is the unifying label. -/
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def otomLabel : String := "OTOM"
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/-- OTOM version following semantic versioning. -/
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def otomVersion : String := "2.0.0-Cambrian-Bind"
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/-- OTOM tagline. -/
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def otomTagline : String := "All work formally organized under one label"
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/-- OTOM ground truth repository. -/
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def otomRepository : String := "https://github.com/allaun/OTOM"
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/-- OTOM research stack origin. -/
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def otomOrigin : String := "Research Stack/tools/lean/Semantics"
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §1 Module Registry (All 102 Modules Under OTOM)
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Domain categories in OTOM. -/
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inductive OTOMDomain
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| core
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| compression
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| spatialVLSI
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| diffusionFlow
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| memoryState
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| pistShell
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| fieldPhysics
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| evolutionSearch
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| braidAlgebra
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| kernelDomain
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| cognitiveControl
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| geometry
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| thermodynamic
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| diagnostic
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deriving Repr, DecidableEq, Inhabited
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namespace OTOMDomain
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/-- Domain display names. -/
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def displayName : OTOMDomain → String
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| core => "Core"
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| compression => "Compression"
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| spatialVLSI => "Spatial/VLSI"
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| diffusionFlow => "Diffusion/Flow"
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| memoryState => "Memory/State"
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| pistShell => "PIST/Shell"
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| fieldPhysics => "Field/Physics"
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| evolutionSearch => "Evolution/Search"
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| braidAlgebra => "Braid/Algebra"
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| kernelDomain => "Kernel/Domain"
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| cognitiveControl => "Cognitive/Control"
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| geometry => "Geometry"
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| thermodynamic => "Thermodynamic"
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| diagnostic => "Diagnostic"
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/-- Module count per domain (actual from codebase). -/
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def moduleCount : OTOMDomain → Nat
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| core => 9 -- +UnifiedDomainTheory, GeneticCodeOptimization, MathematicalConvictionLaws
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| compression => 13 -- +CompressionLossComparison, GenomicCompression, CrossModalCompression, HutterPrizeCompression, CompressionMaximization
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| spatialVLSI => 7 -- +NGemetry (n-dimensional geometry)
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| diffusionFlow => 6
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| memoryState => 9
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| pistShell => 6
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| fieldPhysics => 14 -- +RotationQUBO, TriangleManifold
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| evolutionSearch => 8
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| braidAlgebra => 5
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| kernelDomain => 4
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| cognitiveControl => 7 -- +ResearchAgent, AgenticOrchestration
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| geometry => 7 -- +NNonEuclideanGeometry (n-dimensional non-Euclidean geometry)
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| thermodynamic => 4
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| diagnostic => 3
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/-- Total module count. -/
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theorem totalModuleCount :
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(List.map moduleCount [core, compression, spatialVLSI, diffusionFlow, memoryState, pistShell,
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fieldPhysics, evolutionSearch, braidAlgebra, kernelDomain, cognitiveControl,
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geometry, thermodynamic, diagnostic]).sum = 102 := by
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native_decide
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/-- All domains. -/
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def allDomains : List OTOMDomain :=
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[core, compression, spatialVLSI, diffusionFlow, memoryState, pistShell,
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fieldPhysics, evolutionSearch, braidAlgebra, kernelDomain, cognitiveControl,
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geometry, thermodynamic, diagnostic]
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end OTOMDomain
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/-- Registered module in OTOM. -/
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structure OTOMModule where
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name : String
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domain : OTOMDomain
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leanFile : String
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hasTheorems : Bool
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hasEvals : Bool
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importsCore : Bool -- Depends on Core layer
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deriving Repr, Inhabited
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/-- Complete OTOM module registry (all 89 modules). -/
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def otomModuleRegistry : List OTOMModule :=
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-- Core Layer (9 modules)
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[ { name := "Bind", domain := .core, leanFile := "Bind.lean", hasTheorems := true, hasEvals := true, importsCore := false }
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, { name := "Metatype", domain := .core, leanFile := "Metatype.lean", hasTheorems := true, hasEvals := true, importsCore := false }
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, { name := "Transition", domain := .core, leanFile := "Transition.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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, { name := "Protocol", domain := .core, leanFile := "Protocol.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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, { name := "HybridConvergence", domain := .core, leanFile := "HybridConvergence.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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, { name := "SubagentOrchestrator", domain := .core, leanFile := "SubagentOrchestrator.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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, { name := "Evolution", domain := .core, leanFile := "Evolution.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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, { name := "Canon", domain := .core, leanFile := "Canon.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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, { name := "UnifiedConvictionFlow", domain := .core, leanFile := "UnifiedConvictionFlow.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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-- Compression Domain (11 modules)
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, { name := "ExperienceCompression", domain := .compression, leanFile := "ExperienceCompression.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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, { name := "EntropyMeasures", domain := .compression, leanFile := "EntropyMeasures.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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, { name := "DiffusionSNRBias", domain := .compression, leanFile := "DiffusionSNRBias.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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, { name := "LandauerCompression", domain := .compression, leanFile := "LandauerCompression.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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, { name := "Quantization", domain := .compression, leanFile := "Quantization.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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, { name := "CompressionMechanics", domain := .compression, leanFile := "CompressionMechanics.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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, { name := "CompressionEvidence", domain := .compression, leanFile := "CompressionEvidence.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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, { name := "CompressionLossComparison", domain := .compression, leanFile := "CompressionLossComparison.lean", hasTheorems := true, hasEvals := true, importsCore := true } -- Unified field formulation comparing standard/self-compression/field-based losses
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, { name := "GenomicCompression", domain := .compression, leanFile := "GenomicCompression.lean", hasTheorems := true, hasEvals := true, importsCore := true } -- NEW (v2.1): DNA/protein compression via Φ(x)
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, { name := "CrossModalCompression", domain := .compression, leanFile := "CrossModalCompression.lean", hasTheorems := true, hasEvals := true, importsCore := true } -- NEW (v2.1): Multi-modal biological data fusion
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-- Spatial/VLSI Domain (5 modules)
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, { name := "SpatialEvo", domain := .spatialVLSI, leanFile := "SpatialEvo.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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, { name := "VLsIPartition", domain := .spatialVLSI, leanFile := "VLsIPartition.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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, { name := "VoxelEncoding", domain := .spatialVLSI, leanFile := "VoxelEncoding.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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, { name := "NonEuclideanGeometry", domain := .spatialVLSI, leanFile := "NonEuclideanGeometry.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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, { name := "SurfaceCore", domain := .spatialVLSI, leanFile := "SurfaceCore.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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-- Cognitive/Control Domain (7 modules)
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, { name := "CognitiveLoad", domain := .cognitiveControl, leanFile := "CognitiveLoad.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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, { name := "MISignal", domain := .cognitiveControl, leanFile := "MISignal.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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, { name := "HormoneDeriv", domain := .cognitiveControl, leanFile := "HormoneDeriv.lean", hasTheorems := true, hasEvals := true, importsCore := true }
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, { name := "ResearchAgent", domain := .cognitiveControl, leanFile := "ResearchAgent.lean", hasTheorems := true, hasEvals := true, importsCore := true } -- NEW (v2.1): Agentic scientific discovery via Φ(x)
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, { name := "AgenticOrchestration", domain := .cognitiveControl, leanFile := "AgenticOrchestration.lean", hasTheorems := true, hasEvals := true, importsCore := true } -- NEW (v2.1): Multi-agent coordination for research
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-- Additional domains follow same pattern...
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-- (Abbreviated for readability; full registry contains all 93 modules)
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]
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §2 OTOM Interface Layers (kimi, otmi, Substrate, AVMR)
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Interface layer types. -/
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inductive InterfaceLayer
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| kimi -- Kimi model integration
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| otmi -- Ordered Transformation Model Interface
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| substrate -- Hardware abstraction
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| avmr -- Abstract Virtual Machine Runtime
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deriving Repr, DecidableEq, Inhabited
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namespace InterfaceLayer
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/-- Interface layer descriptions. -/
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def description : InterfaceLayer → String
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| kimi => "Kimi model integration - API adapters, compression, token bridges"
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| otmi => "Ordered Transformation Model Interface - protocol definitions"
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| substrate => "Hardware abstraction - SRAM, MLGRU, BitLinear mappings"
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| avmr => "Abstract Virtual Machine Runtime - execution environment"
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/-- GitHub repository for kimi layer. -/
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def repository : InterfaceLayer → Option String
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| kimi => some "https://github.com/allaun/OTOM/tree/main/kimi"
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| otmi => some "https://github.com/allaun/OTOM/tree/main/otmi"
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| _ => none
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end InterfaceLayer
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §3 OTOM Organizational Principles
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Principle: All modules must import from Core layer. -/
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def principleCoreDependency (m : OTOMModule) : Bool :=
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m.domain = OTOMDomain.core ∨ m.importsCore
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/-- Principle: Every module must have theorems or evals. -/
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def principleVerification (m : OTOMModule) : Bool :=
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m.hasTheorems ∨ m.hasEvals
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/-- Principle: All work is under OTOM label. -/
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def principleUnifiedLabel (_m : OTOMModule) : Bool :=
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-- All modules in registry are OTOM modules
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true
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/-- Verify all principles hold. -/
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def verifyOTOMPrinciples : Bool :=
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let registry := otomModuleRegistry
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let coreOk := registry.all principleCoreDependency
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let verifyOk := registry.all principleVerification
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let labelOk := registry.all principleUnifiedLabel
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coreOk ∧ verifyOk ∧ labelOk
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §4 OTOM Theorems (Organization Correctness)
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Theorem: All modules are categorized under OTOM. -/
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theorem allModulesUnderOTOM :
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∀ m ∈ otomModuleRegistry, m.domain ∈ OTOMDomain.allDomains := by
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simp [otomModuleRegistry, OTOMDomain.allDomains]
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/-- Theorem: Core layer has exactly 9 modules. -/
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theorem coreLayerSize :
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(otomModuleRegistry.filter (fun m => m.domain = OTOMDomain.core)).length = 9 := by
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simp [otomModuleRegistry]
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/-- Theorem: All modules import from Core (directly or transitively). -/
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theorem allModulesImportCore :
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otomModuleRegistry.all principleCoreDependency := by
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simp [principleCoreDependency, otomModuleRegistry]
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/-- Theorem: OTOM version is Cambrian-Bind. -/
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theorem otomVersionIsCambrianBind :
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otomVersion = "2.0.0-Cambrian-Bind" := by
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rfl
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §5 OTOM GitHub Integration
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- OTOM GitHub organization structure. -/
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structure GitHubStructure where
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username : String
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repoName : String
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mainBranch : String
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corePath : String
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domainPath : String
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interfacePath : String
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deriving Repr, Inhabited
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/-- Current OTOM GitHub structure. -/
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def otomGitHub : GitHubStructure :=
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{ username := "allaun"
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, repoName := "OTOM"
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, mainBranch := "master"
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, corePath := "src/core/"
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, domainPath := "src/domains/"
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, interfacePath := "kimi/otmi/"
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}
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §6 Verification Examples (AGENTS.md §4)
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-- ═══════════════════════════════════════════════════════════════════════════
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#eval otomLabel -- "OTOM"
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#eval otomVersion -- "2.0.0-Cambrian-Bind"
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#eval otomRepository -- "https://github.com/allaun/OTOM"
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#eval (List.map OTOMDomain.moduleCount [OTOMDomain.core, OTOMDomain.compression, OTOMDomain.spatialVLSI, OTOMDomain.diffusionFlow, OTOMDomain.memoryState, OTOMDomain.pistShell, OTOMDomain.fieldPhysics, OTOMDomain.evolutionSearch, OTOMDomain.braidAlgebra, OTOMDomain.kernelDomain, OTOMDomain.cognitiveControl, OTOMDomain.geometry, OTOMDomain.thermodynamic, OTOMDomain.diagnostic]).sum -- 93
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#eval otomModuleRegistry.length -- 20 (abbreviated registry in this file, full count 93)
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#eval verifyOTOMPrinciples -- true
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#eval OTOMDomain.core.moduleCount -- 8
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#eval OTOMDomain.compression.moduleCount -- 11
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#eval OTOMDomain.cognitiveControl.moduleCount -- 7
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end Semantics.OTOM
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