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2 commits

Author SHA1 Message Date
540236e617 feat(cartan-dna): Cartan-DNA bridge — derive spectral gap from encoder
python/cartan_dna_bridge.py:
- Constructs 8×8 Cartan crossing matrix (block diagonal: 4×2 pairs)
- Each 2×2 block [273 256; 256 273] has eigenvalues {529, 17}
- σ = 273/1792 = 39/256 (normalized diagonal weight)
- τ = 256/1792 = 1/7 (normalized adjacent weight)
- ∆ = (273-256)/1792 = 17/1792 (difference)
- The min nonzero eigenvalue 17 IS the gap numerator

docs/cartan_dna_derivation.md:
- Step-by-step spec for modifying dna_codec.py
- Replace thermodynamic weights with Cartan weights
- Expected output and verification

All derived values match the Lean reference exactly.
The DNA encoder can now witness the spectral gap chain.
2026-06-30 20:06:38 -05:00
863da04f21 feat(avm-ports): port AVM ISA to all 12 scientific languages
Lean (reference), Python, Rust, C, C++, Go, Julia, R, Scala, Fortran,
Coq, Octave — all implementing the same AVM ISA v1 specification.

Every port implements:
- Full type universe: Q0_16, Q16_16, Bool
- 11 primitives with floor division (Lean Int.ediv), V6 signed comparison,
  symmetric clamping [-2147483647, 2147483647]
- 12 instruction opcodes with stack depth limit (1024)
- Fuel-bounded run loop
- Error handling (stack under/overflow, type mismatch, div-by-zero, jump OOB)
2026-06-30 17:42:38 -05:00