Tableaux for Maximum Satisfiability in Łukasiewicz Logic

Chu Min Li, Felip Manyà, Amanda Vidal · 2020

We define a tableau calculus for solving the MaxSAT problem of 3-valued Łukasiewicz logic, and prove its soundness and completeness. The calculus can be naturally extended to other finitely-valued logics. Our contributions establish the foundations of a generic problem solving paradigm for combinatorial optimization based on Łukasiewicz logic.

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