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Proofs and Certificates for Max-SAT (Extended Abstract) *

Title: Proofs and Certificates for Max-SAT (Extended Abstract) *
Authors: Py, Matthieu; Cherif, Mohamed, Sami; Habet, Djamal
Contributors: Laboratoire d'Informatique, de Modélisation et d'Optimisation des Systèmes (LIMOS); Ecole Nationale Supérieure des Mines de St Etienne (ENSM ST-ETIENNE)-Centre National de la Recherche Scientifique (CNRS)-Université Clermont Auvergne (UCA)-Institut national polytechnique Clermont Auvergne (INP Clermont Auvergne); Université Clermont Auvergne (UCA)-Université Clermont Auvergne (UCA); COntraintes, ALgorithmes et Applications (COALA); Laboratoire d'Informatique et des Systèmes (LIS) (Marseille, Toulon) (LIS); Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Source: Proceedings of the Thirty-Second International Joint Conference on Artificial Intelligence ; International Joint Conference on Artificial Intelligence ; https://hal.science/hal-04318066 ; International Joint Conference on Artificial Intelligence, Aug 2023, Macao, China. ⟨10.24963/ijcai.2023/787⟩
Publisher Information: CCSD
Publication Year: 2023
Collection: Université de Toulon: HAL
Subject Terms: [INFO.INFO-AI]Computer Science [cs]/Artificial Intelligence [cs.AI]
Subject Geographic: Macao; China
Description: International audience ; In this paper, we present a tool, called MS-Builder, which generates certificates for the Max-SAT problem in the particular form of a sequence of equivalence-preserving transformations. To generate a certificate, MS-Builder iteratively calls a SAT oracle to get a SAT resolution refutation which is handled and adapted into a sound refutation for Max-SAT. In particular, the size of the computed Max-SAT refutation is linear with respect to the size of the initial refutation if it is semi-read-once, tree-like regular, tree-like or semi-tree-like. Additionally, we propose an extendable tool, called MS-Checker, able to verify the validity of any Max-SAT certificate using Max-SAT inference rules.
Document Type: conference object
Language: English
DOI: 10.24963/ijcai.2023/787
Availability: https://hal.science/hal-04318066; https://hal.science/hal-04318066v1/document; https://hal.science/hal-04318066v1/file/IJCAI_2023___Proof_And_Certificates_for_Max_SAT__Extended_Abstract_.pdf; https://doi.org/10.24963/ijcai.2023/787
Rights: info:eu-repo/semantics/OpenAccess
Accession Number: edsbas.6282977
Database: BASE