Expressiveness + Automation + Soundness: Towards Combining SMT Solvers and Interactive Proof Assistants
Identifieur interne : 005630 ( Main/Merge ); précédent : 005629; suivant : 005631Expressiveness + Automation + Soundness: Towards Combining SMT Solvers and Interactive Proof Assistants
Auteurs : Pascal Fontaine [France] ; Jean-Yves Marion [France] ; Stephan Merz [France] ; Leonor Prensa Nieto [France] ; Alwen Tiu [France]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
English descriptors
Abstract
Abstract: Formal system development needs expressive specification languages, but also calls for highly automated tools. These two goals are not easy to reconcile, especially if one also aims at high assurances for correctness. In this paper, we describe a combination of Isabelle/HOL with a proof-producing SMT (Satisfiability Modulo Theories) solver that contains a SAT engine and a decision procedure for quantifier-free first-order logic with equality. As a result, a user benefits from the expressiveness of Isabelle/HOL when modeling a system, but obtains much better automation for those fragments of the proofs that fall within the scope of the (automatic) SMT solver. Soundness is not compromised because all proofs are submitted to the trusted kernel of Isabelle for certification. This architecture is straightforward to extend for other interactive proof assistants and proof-producing reasoners.
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DOI: 10.1007/11691372_11
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Lorraine</orgName><placeName><settlement type="city">Nancy</settlement><region type="region" nuts="2">Grand Est</region><region type="old region" nuts="2">Lorraine (région)</region></placeName><orgName type="university">Institut national polytechnique de Lorraine</orgName><orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName></affiliation></author></analytic><idno type="DOI">10.1007/11691372_11</idno></biblStruct></sourceDesc></fileDesc><profileDesc><textClass><keywords scheme="mix" xml:lang="en"><term>SMT solver</term><term>decision procedures</term><term>proof certification</term><term>theorem proving</term><term>tool integration</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Formal system development needs expressive specification languages, but also calls for highly automated tools. These two goals are not easy to reconcile, especially if one also aims at high assurances for correctness. In this paper, we describe a combination of Isabelle/HOL with a proof-producing SMT (Satisfiability Modulo Theories) solver that contains a SAT engine and a decision procedure for quantifier-free first-order logic with equality. As a result, a user benefits from the expressiveness of Isabelle/HOL when modeling a system, but obtains much better automation for those fragments of the proofs that fall within the scope of the (automatic) SMT solver. Soundness is not compromised because all proofs are submitted to the trusted kernel of Isabelle for certification. This architecture is straightforward to extend for other interactive proof assistants and proof-producing reasoners.</div></front></TEI></HAL><ISTEX><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Expressiveness + Automation + Soundness: Towards Combining SMT Solvers and Interactive Proof Assistants</title><author><name sortKey="Fontaine, Pascal" sort="Fontaine, Pascal" uniqKey="Fontaine P" first="Pascal" last="Fontaine">Pascal Fontaine</name></author><author><name sortKey="Marion, Jean Yves" sort="Marion, Jean Yves" uniqKey="Marion J" first="Jean-Yves" last="Marion">Jean-Yves Marion</name></author><author><name sortKey="Merz, Stephan" sort="Merz, Stephan" uniqKey="Merz S" first="Stephan" last="Merz">Stephan Merz</name></author><author><name sortKey="Nieto, Leonor Prensa" sort="Nieto, Leonor Prensa" uniqKey="Nieto L" first="Leonor Prensa" last="Nieto">Leonor Prensa Nieto</name></author><author><name sortKey="Tiu, Alwen" sort="Tiu, Alwen" uniqKey="Tiu A" first="Alwen" last="Tiu">Alwen Tiu</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:C42D24BF5C6C03CF23B88D2AAF8B068BE7FBBC6C</idno><date when="2006" year="2006">2006</date><idno type="doi">10.1007/11691372_11</idno><idno type="url">https://api.istex.fr/ark:/67375/HCB-3433CDX1-D/fulltext.pdf</idno><idno type="wicri:Area/Istex/Corpus">002E53</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">002E53</idno><idno type="wicri:Area/Istex/Curation">002E15</idno><idno type="wicri:Area/Istex/Checkpoint">001337</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">001337</idno><idno type="wicri:doubleKey">0302-9743:2006:Fontaine P:expressiveness:automation:soundness</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Expressiveness + Automation + Soundness: Towards Combining SMT Solvers and Interactive Proof Assistants</title><author><name sortKey="Fontaine, Pascal" sort="Fontaine, Pascal" uniqKey="Fontaine P" first="Pascal" last="Fontaine">Pascal Fontaine</name><affiliation wicri:level="4"><orgName type="university">Nancy-Université</orgName><country>France</country><placeName><settlement type="city">Nancy</settlement><region type="region" nuts="2">Grand Est</region><region type="region" nuts="2">Lorraine (région)</region></placeName></affiliation></author><author><name sortKey="Marion, Jean Yves" sort="Marion, Jean Yves" uniqKey="Marion J" first="Jean-Yves" last="Marion">Jean-Yves Marion</name><affiliation wicri:level="4"><orgName type="university">Nancy-Université</orgName><country>France</country><placeName><settlement type="city">Nancy</settlement><region type="region" nuts="2">Grand Est</region><region type="region" nuts="2">Lorraine (région)</region></placeName></affiliation></author><author><name sortKey="Merz, Stephan" sort="Merz, Stephan" uniqKey="Merz S" first="Stephan" last="Merz">Stephan Merz</name><affiliation wicri:level="4"><orgName type="university">Nancy-Université</orgName><country>France</country><placeName><settlement type="city">Nancy</settlement><region type="region" nuts="2">Grand Est</region><region type="region" nuts="2">Lorraine (région)</region></placeName></affiliation></author><author><name sortKey="Nieto, Leonor Prensa" sort="Nieto, Leonor Prensa" uniqKey="Nieto L" first="Leonor Prensa" last="Nieto">Leonor Prensa Nieto</name><affiliation wicri:level="4"><orgName type="university">Nancy-Université</orgName><country>France</country><placeName><settlement type="city">Nancy</settlement><region type="region" nuts="2">Grand Est</region><region type="region" nuts="2">Lorraine (région)</region></placeName></affiliation></author><author><name sortKey="Tiu, Alwen" sort="Tiu, Alwen" uniqKey="Tiu A" first="Alwen" last="Tiu">Alwen Tiu</name><affiliation wicri:level="4"><orgName type="university">Nancy-Université</orgName><country>France</country><placeName><settlement type="city">Nancy</settlement><region type="region" nuts="2">Grand Est</region><region type="region" nuts="2">Lorraine (région)</region></placeName></affiliation></author></analytic><monogr></monogr><series><title level="s" type="main" xml:lang="en">Lecture Notes in Computer Science</title><idno type="ISSN">0302-9743</idno><idno type="eISSN">1611-3349</idno><idno type="ISSN">0302-9743</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0302-9743</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: Formal system development needs expressive specification languages, but also calls for highly automated tools. These two goals are not easy to reconcile, especially if one also aims at high assurances for correctness. In this paper, we describe a combination of Isabelle/HOL with a proof-producing SMT (Satisfiability Modulo Theories) solver that contains a SAT engine and a decision procedure for quantifier-free first-order logic with equality. As a result, a user benefits from the expressiveness of Isabelle/HOL when modeling a system, but obtains much better automation for those fragments of the proofs that fall within the scope of the (automatic) SMT solver. Soundness is not compromised because all proofs are submitted to the trusted kernel of Isabelle for certification. This architecture is straightforward to extend for other interactive proof assistants and proof-producing reasoners.</div></front></TEI></ISTEX></double></record>Pour manipuler ce document sous Unix (Dilib)
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