Research-Stack/0-Core-Formalism/lean
allaun b54a1f1ed6 fix(lean): analyze cleanMerge_preservesGap — theorem false as stated
Discovery: the theorem with only resonanceDegeneracy=0 is FALSE.
Counterexample: s=[1,0,1,0,...] e=[0,0,0,1,0,1,...] — no overlap,
both gap-valid, but merge has adjacent active bins at positions 2,3.

Missing hypothesis: cross-input gap (no active bin from s adjacent to
active bin from e). This holds in Sidon-basis context (powers-of-2
labels ensure min separation ≥ 2).

The sorry is now documented with:
- Exact counterexample
- Required cross-input gap hypothesis
- Proof path when cross-gap is available
- Boolean model (Fin 8 → Bool) verification strategy

Build: 3314 jobs, 0 errors (Compiler surface)
2026-06-22 13:23:45 -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LeanGPT Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00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 fix(lean): analyze cleanMerge_preservesGap — theorem false as stated 2026-06-22 13:23:45 -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