A Proof Builder for Max-SAT

Matthieu Py (1) , Mohamed Sami Cherif (1) , Djamal Habet (1)

1 COALA - COntraintes, ALgorithmes et Applications

Complete Max-SAT solvers are able to return the optimal value of an input instance but they do not provide any certificate of its validity. In this paper, we introduce for the first time a Max-SAT proof builder, called MS-Builder, which generates Max-SAT proofs under the particular form of a sequence of Max-SAT equivalence-preserving transformations. To generate a Max-SAT proof, MS-Builder iteratively calls a SAT oracle to get a SAT refutation which is handled and adapted into a sound refutation for Max-SAT. We also propose an extendable tool, called MS-Checker, able to verify the validity of any proof using Max-SAT inference rules.

Mots clés: Max-SAT; Proof; Max-SAT Resolution

Domaines: Intelligence artificielle [cs.AI]

Matthieu Py, Mohamed Sami Cherif, Djamal Habet. A Proof Builder for Max-SAT. 24th International Conference on Theory and Applications of Satisfiability Testing (SAT 2021), 2021, Barcelone, Spain. ⟨10.1007/978-3-030-80223-3_33⟩. ⟨hal-03343022⟩