An Isaac Newton Institute Workshop

New Directions in Proof Complexity

A complete resolution-like calculus for Maxsat

Author: ML Bonet (Barcelona)

Abstract

Max-SAT is the problem of finding an assignment minimizing the number of unsatisfied clauses of a given CNF formula. We propose a resolution-like calculus for Max-SAT and prove its soundness and completeness. We also prove the completeness of some refinements of this calculus. From the completeness proof we derive an exact algorithm for Max-SAT and a time upper bound. Joint work with Jordi Levy and Felip Manya.