Combining decision procedures by (model-)equality propagation
Identifieur interne : 001604 ( Hal/Corpus ); précédent : 001603; suivant : 001605Combining decision procedures by (model-)equality propagation
Auteurs : Diego Caminha B. De Oliveira ; David Déharbe ; Pascal FontaineSource :
Abstract
SMT (Satisfiability Modulo Theories) solvers are automatic verification engines suitable to discharge important classes of proof obligations generated in applying formal construction of software and hardware designs. In this paper, we present a new approach to combine decision procedures and propositional solvers into an SMT-solver. This approach is based on the generation of model equalities by decision procedures. We show the soundness and completeness of the proposed approach using an original abstract framework to represent and reason about SMT-solvers. We then present an algorithmic version of the new SMT-solving approach and discuss practical aspects of our implementation.
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<front><div type="abstract" xml:lang="en">SMT (Satisfiability Modulo Theories) solvers are automatic verification engines suitable to discharge important classes of proof obligations generated in applying formal construction of software and hardware designs. In this paper, we present a new approach to combine decision procedures and propositional solvers into an SMT-solver. This approach is based on the generation of model equalities by decision procedures. We show the soundness and completeness of the proposed approach using an original abstract framework to represent and reason about SMT-solvers. We then present an algorithmic version of the new SMT-solving approach and discuss practical aspects of our implementation.</div>
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<idno type="halRef">Machado, P. and Andrade, A. and Duran, A. Brazilian Symposium on Formal Methods - SBMF 2008, Aug 2008, Salvador, Bahia, Brazil. 2008</idno>
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<seriesStmt><idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
<idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
<idno type="stamp" n="INPL">Institut National Polytechnique de Lorraine</idno>
<idno type="stamp" n="LORIA2">Publications du LORIA</idno>
<idno type="stamp" n="INRIA-NANCY-GRAND-EST">INRIA Nancy - Grand Est</idno>
<idno type="stamp" n="LORIA">LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications</idno>
<idno type="stamp" n="LORIA-FM" p="LORIA">Méthodes formelles</idno>
<idno type="stamp" n="UNIV-LORRAINE">Université de Lorraine</idno>
<idno type="stamp" n="INRIA-LORRAINE">INRIA Nancy - Grand Est</idno>
<idno type="stamp" n="LABO-LORIA-SET" p="LORIA">LABO-LORIA-SET</idno>
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<notesStmt><note type="audience" n="2">International</note>
<note type="invited" n="0">No</note>
<note type="popular" n="0">No</note>
<note type="peer" n="1">Yes</note>
<note type="proceedings" n="1">Yes</note>
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<sourceDesc><biblStruct><analytic><title xml:lang="en">Combining decision procedures by (model-)equality propagation</title>
<author role="aut"><persName><forename type="first">Diego</forename>
<surname>Caminha B. De Oliveira</surname>
</persName>
<idno type="halAuthorId">366435</idno>
<affiliation ref="#struct-2357"></affiliation>
</author>
<author role="aut"><persName><forename type="first">David</forename>
<surname>Déharbe</surname>
</persName>
<idno type="halAuthorId">99793</idno>
<affiliation ref="#struct-110670"></affiliation>
</author>
<author role="aut"><persName><forename type="first">Pascal</forename>
<surname>Fontaine</surname>
</persName>
<email>Pascal.Fontaine@loria.fr</email>
<idno type="idHal">pascal-fontaine</idno>
<idno type="halAuthorId">63592</idno>
<affiliation ref="#struct-2357"></affiliation>
</author>
</analytic>
<monogr><meeting><title>Brazilian Symposium on Formal Methods - SBMF 2008</title>
<date type="start">2008-08-26</date>
<settlement>Salvador, Bahia</settlement>
<country key="BR">Brazil</country>
</meeting>
<editor>Machado, P. and Andrade, A. and Duran, A.</editor>
<imprint><date type="datePub">2008</date>
</imprint>
</monogr>
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<profileDesc><langUsage><language ident="en">English</language>
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<textClass><classCode scheme="acm" n="F.4.1.4"></classCode>
<classCode scheme="halDomain" n="info.info-lo">Computer Science [cs]/Logic in Computer Science [cs.LO]</classCode>
<classCode scheme="halTypology" n="COMM">Conference papers</classCode>
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<abstract xml:lang="en">SMT (Satisfiability Modulo Theories) solvers are automatic verification engines suitable to discharge important classes of proof obligations generated in applying formal construction of software and hardware designs. In this paper, we present a new approach to combine decision procedures and propositional solvers into an SMT-solver. This approach is based on the generation of model equalities by decision procedures. We show the soundness and completeness of the proposed approach using an original abstract framework to represent and reason about SMT-solvers. We then present an algorithmic version of the new SMT-solving approach and discuss practical aspects of our implementation.</abstract>
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