Research-Stack/0-Core-Formalism/lean
allaun ac700c6460 feat(lean): add byte-level gap kernel for cleanMerge_preservesGap
A boolean is a bit. Eight bins = eight bits = one byte.

mergeCheck_all_256: closed Bool term verified by native_decide over
all 256×256 byte pairs. Zero assumptions, zero free variables, zero sorry.

The kernel proves: for any two bytes where gap(s) ∧ gap(e) ∧ disjoint ∧
crossGap all hold, gap(s OR e) also holds. This is the complete
computational proof of the spectral gap merge property at the bit level.

The remaining sorry is the Q16_16→byte bridge: converting SpectralSignature
bins to/from Nat bytes and showing the predicates correspond. This is
standard list-level reasoning over 8 elements (unzip, map, filter, all).

Build: 3314 jobs, 0 errors (Compiler surface)
2026-06-22 13:48:39 -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LeanGPT Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00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): add byte-level gap kernel for cleanMerge_preservesGap 2026-06-22 13:48:39 -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