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Every work listed below has a selected .lean source file or directory. Setup instructions and correspondence maps are labeled separately. The recorded coverage text describes the existing assessment, not a new compiler run. Read the instructions for imports, toolchain requirements, and accepted execution records. Lean-guide PDFs appear on the work pages separately.

Jump to: Core papers · Books and companion volumes · Research programs · Software packages · Experiments

Core papers

Jump to a work:

• Paper I: Typed Operator Systems, Seed Rank, and Exact Packet Coordinates
• Paper II: Refinement Towers, Weighted Transfer, and Integral Separation of Operator Packets
• Paper III: Typed Transfer, Nonlinear Packets, and Obstruction Theory
• Paper IV: Cyclic Analytic Functions, Reciprocal Families, and Spectral Zero Data
• Paper V: Polyphase Signal Calculus
• Paper VI: Transfer Semigroups: Stochastic, Bayesian, Fractional, and PDE Realizations
• Paper VII: Quantum Seed Calculus
• Paper VIII: Packet Operator Algorithms, Exact Compilation, and GPU Realization
• Paper IX: Arithmetic Packets, Dyadic Towers, and Local Polynomial Deformation
• Paper X: Universal Residual Seeds and Conditional Occupied-System Completion
• Paper XI: Packets, Arithmetic Realization, and Conditional Comparison
• Paper XII: Patching Support, Hecke Packets, and Conditional Automorphic Completion

Paper I: Typed Operator Systems, Seed Rank, and Exact Packet Coordinates

• Formal replay instructions (text)
• Lean sources (directory)
• 108-record correspondence map (JSON)
• Coverage: Declared contract recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Paper II: Refinement Towers, Weighted Transfer, and Integral Separation of Operator Packets

• Lean sources (directory)
• Coverage: Declared contract recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Paper III: Typed Transfer, Nonlinear Packets, and Obstruction Theory

• Lean sources (directory)
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Paper IV: Cyclic Analytic Functions, Reciprocal Families, and Spectral Zero Data

• Lean sources (directory)
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Paper V: Polyphase Signal Calculus

• Lean sources (directory)
• Coverage: Inherited / related evidence
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Paper VI: Transfer Semigroups: Stochastic, Bayesian, Fractional, and PDE Realizations

• Lean sources (directory)
• Coverage: Inherited / related evidence
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Paper VII: Quantum Seed Calculus

• Lean sources (directory)
• Coverage: Inherited / related evidence
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Paper VIII: Packet Operator Algorithms, Exact Compilation, and GPU Realization

• Lean sources (directory)
• Coverage: Inherited / related evidence
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Paper IX: Arithmetic Packets, Dyadic Towers, and Local Polynomial Deformation

• Current guide: source locations, correspondence, and replay limits
• Recorded width-four, period, and isometry modules
• Recorded polynomial-regularity modules
• All preserved formal branches and records
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Paper X: Universal Residual Seeds and Conditional Occupied-System Completion

• Lean sources (directory)
• Coverage: Declared contract recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Paper XI: Packets, Arithmetic Realization, and Conditional Comparison

• Lean sources (directory)
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Paper XII: Patching Support, Hecke Packets, and Conditional Automorphic Completion

• Historical formal replay instructions (September 2026)
• Current reader-build instructions (no Lean execution)
• Paper XII production modules
• Reused Paper X modules
• Coverage: Inherited / related evidence
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Books and companion volumes

Jump to a work:

• Proof Path Theory
• Large Signal Model
• Special Functions
• Komorebi Space
• Realization Boundaries
• Sufficient Resolution
• Machine Native Reasoning
• Quantum and Circuits
• Physics
• COS Method
• COS Method: formal continuation

Proof Path Theory

• Lean sources (directory)
• LEAN GUIDE.md
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Large Signal Model

• Formal companion: setup and correspondence routes
• Large Signal Model mathematical modules
• Formal project, controls, and records
• COVERAGE.md
• LEAN GUIDE.md
• Coverage: Declared contract recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Special Functions

• Block17 formal coverage and recorded replay
• Historical Block01 formal status
• Block01 recurrence companion report
• Finite core and coupled Lean sources (directory)
• Coupled recurrence, local convergence and recovery (Lean)
• Coupled formal claim map
• Block17 claim map
• Block17 recorded execution receipt
• Block17 source publication inventory
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Komorebi Space

• Lean sources (directory)
• Coverage: Declared contract recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Realization Boundaries

• Recorded formal verification and replay
• Lean sources (file)
• Production proof modules (directory)
• Written-result correspondence and scope
• Machine-readable coverage register
• Coverage: Declared contract recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Sufficient Resolution

• Portable replay instructions and prerequisites
• Sufficient Resolution mathematical modules
• Formal project, build roots, and provenance
• Coverage: Inherited / related evidence
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Machine Native Reasoning

• Portable Lean replay instructions
• Selected results and formal correspondence
• Lean mathematical modules
• Lean root imports
• Coverage: Declared contract recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Quantum and Circuits

• Formal replay: setup, pinned runtime, and coverage
• Quantum Lean source snapshot
• Circuit Lean source snapshot
• Current circuit claim register (C01–C08)
• Historical circuit claim register (preserved companion)
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Physics

• Continuum setup, replay instructions, and scope
• Continuum mathematical modules
• Continuum project, audit roots, and records
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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COS Method

• Lean sources (directory)
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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COS Method: formal continuation

• Lean sources (directory)
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Research programs

Jump to a work:

• Information Realization
• KZFC and Residual Reflection
• Logical Resolution
• p-adic Canonical Realization
• Representation Calculus
• Machine Theory: formal development
• Machine Native Reasoning: wider continuation
• ABC: source and evidence reader
• AddMul Arithmetic Reconstruction
• Beal: source and evidence
• Hilbert 12: cubic divisor development
• Hodge: source and evidence
• IUT Valuation Hulls
• Model-Theory Normalization
• Resolution Semantics
• Signal Reconstruction
• Stratified Universality
• Strong Artin: source and evidence

Information Realization

• Lean sources (directory)
• LEAN GUIDE.md
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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KZFC and Residual Reflection

• Foundation modules
• Multiverse modules
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Logical Resolution

• Lean sources (directory)
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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p-adic Canonical Realization

• Lean sources (directory)
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Representation Calculus

• Lean sources (directory)
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Machine Theory: formal development

• Lean sources (directory)
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Machine Native Reasoning: wider continuation

• Lean sources (directory)
• Coverage: Inherited / related evidence
• Return to this work’s Lean section
• Work overview
• Status and evidence

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ABC: source and evidence reader

• Lean sources (directory)
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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AddMul Arithmetic Reconstruction

• Lean sources (directory)
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Beal: source and evidence

• Lean sources (directory)
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Hilbert 12: cubic divisor development

• Lean sources (directory)
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Hodge: source and evidence

• Lean sources (directory)
• Coverage: Source available, no current pass
• Return to this work’s Lean section
• Work overview
• Status and evidence

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IUT Valuation Hulls

• KTG build instructions and claim boundary
• KTG Lean project and modules
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Model-Theory Normalization

• Lean sources (directory)
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Resolution Semantics

• Checked formal companion: source and reproduction
• Preserved original edition: Lean sources (directory)
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Signal Reconstruction

• Lean sources (directory)
• Coverage: Inherited / related evidence
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Stratified Universality

• Lean sources (directory)
• Coverage: Source available, no current pass
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Strong Artin: source and evidence

• Formal source guide and replay prerequisites
• v0.38 checkpoint mathematical modules
• All retained formal checkpoints and ancestry
• Coverage: Inherited / related evidence
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Software packages

Jump to a work:

• Certified Inference
• Constructive Repair

Certified Inference

• Lean sources (directory)
• Coverage: Declared contract recorded
• Return to this work’s Lean section
• Work overview
• Status and evidence

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Constructive Repair

• Lean sources (directory)
• Coverage: Selected results recorded
• Return to this work’s Lean section
• Work overview
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Experiments

No direct resource is listed in this category. Use its work index.

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