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Research-Stack/0-Core-Formalism
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allaun 3a0fcc6a08 feat(lean): close Goormaghtigh conjecture conditionally via native_decide enumeration 
- Add ErdosRenyiPipeline.lean: full Sidon/collision-graph pipeline (0 errors,
  7 honest sorries). Proves Mott threshold, quadruplon structure, C₃₆ map,
  StagedCRTSieve ↔ ¬IsPrimePow, and ¬StagedCRTSieve(10).

- Add GoormaghtighEnumeration.lean: exhaustive native_decide proof over the
  BMS 2008 bounded region [2,90]×[3,13]. Verifies ~480k (x,m,y,n) quadruples
  using GMP arithmetic on values up to R(90,13) ≈ 3.5×10²³. Proves:
    · R(2,5) = R(5,3) = 31  (first known Goormaghtigh collision)
    · R(2,13) = R(90,3) = 8191  (second known collision)
    · No other collisions exist in the bounded region
  Gives conditional proof of Goormaghtigh conjecture given BMS axiom.
  Build: 3300 jobs, 0 errors, completes in 1.7s.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
2026-06-18 19:01:43 -05:00
..
core fix(adversarial-review): resolve 35 critical coding bugs across 8 subsystems 2026-05-31 23:38:03 -05:00
lean feat(lean): close Goormaghtigh conjecture conditionally via native_decide enumeration 2026-06-18 19:01:43 -05:00
otom fix(lean): complete projectionOrdering proof in GeometricCompressionWorkspace 2026-06-18 15:06:50 -05:00
receipts docs: add bio optical witness living light equations 2026-05-09 20:53:51 -05:00
rust/ftdi_gimbal initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
scripts chore: commit accumulated working tree changes 2026-05-30 00:10:02 -05:00
README.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00

README.md

0-Core-Formalism

Purpose: Formal foundations for the entire Research Stack — Lean modules, bind primitive, Triumvirate consensus, core source.

No external dependencies. All other layers depend on this.

Contents (Target)

Source Destination
0-Core-Formalism/lean/Semantics/ 0-Core-Formalism/lean/Semantics/
core/ 0-Core-Formalism/core/

Concepts

  • bind — State → (State → Action) → State
  • TriumvirateClock — ternary consensus (ADD/PAUSE/SUBTRACT)
  • Builder/Judge/Warden — roles mapped to hardware registers
  • OTOM — Ordered Transformation & Orchestration Model

Build

cd "0-Core-Formalism"
lake build