Research-Stack/0-Core-Formalism/lean
allaun 158f10aa04 feat(lean): complete cleanMerge_preservesGap proof architecture
Proof structure (5 bridge lemmas, 2 verified by native_decide):

MERGED (0 sorry):
- mergeCheck_all_256: 256×256 byte pairs verified by native_decide
- gap_byte_pat: boolGapPat = byteGap ∘ packPat, verified by native_decide
- gap_bridge: verifySpectralGap = byteGap ∘ pack (from gap_pat + gap_byte)

BRIDGE (4 sorry — same pattern: list induction over 8 elements):
- gap_pat_bridge: activeBins indices ↔ set bits of boolPattern
- disjoint_pat_bridge: resonanceDegeneracy = 0 ↔ disjoint bits
- crossgap_pat_bridge: crossInputGap ↔ byte cross-gap
- merge_bridge: merge byte ⊆ s byte OR e byte

ASSEMBLY (1 sorry — depends on bridges + kernel):
- cleanMerge_preservesGap: rw bridges, apply kernel, done

Each bridge sorry is independently closable via list induction on
8-element lists showing zero/non-zero pattern ↔ bit positions.

Build: 3314 jobs, 0 errors (Compiler surface)
2026-06-22 13:52:41 -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LeanGPT Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00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): complete cleanMerge_preservesGap proof architecture 2026-06-22 13:52:41 -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