01Provides verified gadgets for mapping individual 3-SAT clauses to graph structures
02Reduces 3-SAT complexity to 3-coloring and colored subgraph isomorphism
03Implements non-backtracking geodesics (prime paths) to prevent state revisitation
04Enforces local constraints via GF(3) conservation and 3-adic valuation
05Applies Möbius inversion filtering to maintain path integrity and high spectral gaps
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