Research-Stack/0-Core-Formalism/lean
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
..
conversions/hardware chore(repo): push local 768-commit branch state onto clean remote baseline 2026-06-15 22:46:50 -05:00
external/OTOM feat(lean): close gaussian_line_integral_unit_dir + consolidate infrastructure 2026-06-18 16:53:23 -05:00
LeanGPT Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00
Semantics feat(lean): close Goormaghtigh conjecture conditionally via native_decide enumeration 2026-06-18 19:01:43 -05:00
singer-theorem-lean chore(repo): push local 768-commit branch state onto clean remote baseline 2026-06-15 22:46:50 -05:00
CHAIN_ALL_REVIEW_REPORT.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00