Inference in MaxSAT and MinSAT

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Chu Min Li, Felip Manyà

Published: 01 Jan 2022, Last Modified: 10 Jun 2024The Logic of Software. A Tasting Menu of Formal Methods 2022EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: Logical calculi applied to solve SAT are unsound for MaxSAT and MinSAT because they preserve satisfiability but not the minimum and the maximum number of unsatisfied clauses, respectively. This paper overviews the complete resolution and tableau-style calculi that have been defined to solve MaxSAT and MinSAT, as well as their variants with hard and weighted soft clauses. These calculi provide an exact approach to solving MaxSAT and MinSAT problems.