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Formal verification of a generic framework to synthesize SAT-provers
Authors:Email author" target="_blank">Francisco?-Jesús?Martín-MateosEmail author  José?-Antonio?Alonso  María?-José?Hidalgo  José?-Luis?Ruiz-Reina
Affiliation:1.Computational Logic Group, Dept. of Computer Science and Artificial Intelligence,University of Seville, E.T.S.I. Informática,Sevilla,Spain
Abstract:We present in this paper an application of the ACL2 system to generate and reason about propositional satisfiability provers. For that purpose, we develop a framework in which we define a generic S AT-prover based on transformation rules, and we formalize this generic framework in the ACL2 logic, carrying out a formal proof of its termination, soundness, and completeness. This generic framework can be instantiated to obtain a number of verified and executable SAT-provers in ACL2, and this instantiation can be done in an automated way. Three instantiations of the generic framework are considered: semantic tableaux, sequent calculus, and Davis-Putnam-Logeman-Loveland methods.
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