Three-Match Skill: 3-SAT via Colored Subgraph Isomorphism

Status: ✅ Production Ready Trit: -1 (MINUS - conservative/geodesic) Principle: Local constraints → Global correctness Frame: Non-backtracking geodesics with Möbius filtering

Overview

Three-Match reduces 3-SAT to 3-coloring which reduces to colored subgraph isomorphism. The 3-MATCH gadget enforces constraints LOCALLY via:

1. Non-backtracking geodesics (prime paths, μ(n) ≠ 0)
2. Möbius inversion filtering (back-and-forth cancellation)
3. GF(3) conservation (sum ≡ 0 mod 3)