A SAT-based Approach for Specification, Analysis, and Justification of Reductions between NP-complete Problems
Abstract
We propose a novel framework for developing, analyzing, and validating reductions between NP-complete problems. Powered by the SAT-based constraint solver URSA, our methodology introduces several distinct features that set it apart from other related approaches. The proposed workflow effectively bridges the crucial gap between informal, high-level reduction descriptions and formalized mathematical proofs. By supplementing rather than replacing human intuition, this interactive methodology serves as an aid for exploring relationships between NP-complete problems.
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