Experiments on Supporting Interactive Proof Using Resolution
Identifieur interne : 002B71 ( Istex/Corpus ); précédent : 002B70; suivant : 002B72Experiments on Supporting Interactive Proof Using Resolution
Auteurs : Jia Meng ; Lawrence C. PaulsonSource :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: Interactive theorem provers can model complex systems, but require much effort to prove theorems. Resolution theorem provers are automatic and powerful, but they are designed to be used for very different applications. This paper reports a series of experiments designed to determine whether resolution can support interactive proof as it is currently done. In particular, we present a sound and practical encoding in first-order logic of Isabelle’s type classes.
Url:
DOI: 10.1007/978-3-540-25984-8_28
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ISTEX:B8198536B2DC9C1D70C04FAB11C39115B8A95089Le document en format XML
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Saarland</OrgName><OrgAddress><City>Saarbrücken</City><Country>Germany</Country></OrgAddress></Affiliation></EditorGroup></SubSeriesHeader></SubSeries><Book Language="En"><BookInfo BookProductType="Proceedings" ContainsESM="No" Language="En" MediaType="eBook" NumberingDepth="2" NumberingStyle="ContentOnly" OutputMedium="All" TocLevels="0"><BookID>978-3-540-25984-8</BookID><BookTitle>Automated Reasoning</BookTitle><BookSubTitle>Second International Joint Conference, IJCAR 2004, Cork, Ireland, July 4-8, 2004. Proceedings</BookSubTitle><BookVolumeNumber>3097</BookVolumeNumber><BookSequenceNumber>3097</BookSequenceNumber><BookDOI>10.1007/b98691</BookDOI><BookTitleID>83243</BookTitleID><BookPrintISBN>978-3-540-22345-0</BookPrintISBN><BookElectronicISBN>978-3-540-25984-8</BookElectronicISBN><BookChapterCount>36</BookChapterCount><BookCopyright><CopyrightHolderName>Springer-Verlag Berlin Heidelberg</CopyrightHolderName><CopyrightYear>2004</CopyrightYear></BookCopyright><BookSubjectGroup><BookSubject Code="I" Type="Primary">Computer Science</BookSubject><BookSubject Code="I21017" Priority="1" Type="Secondary">Artificial Intelligence (incl. Robotics)</BookSubject><BookSubject Code="I16048" Priority="2" Type="Secondary">Mathematical Logic and Formal Languages</BookSubject><BookSubject Code="I1603X" Priority="3" Type="Secondary">Logics and Meanings of Programs</BookSubject><BookSubject Code="I14029" Priority="4" Type="Secondary">Software Engineering</BookSubject><SubjectCollection Code="SUCO11645">Computer Science</SubjectCollection></BookSubjectGroup><BookContext><SeriesID>558</SeriesID><SubSeriesID>1244</SubSeriesID></BookContext></BookInfo><BookHeader><EditorGroup><Editor AffiliationIDS="Aff17"><EditorName DisplayOrder="Western"><GivenName>David</GivenName><FamilyName>Basin</FamilyName></EditorName><Contact><Email>basin@inf.ethz.ch</Email></Contact></Editor><Editor AffiliationIDS="Aff18"><EditorName DisplayOrder="Western"><GivenName>Michaël</GivenName><FamilyName>Rusinowitch</FamilyName></EditorName><Contact><Email>rusi@loria.fr</Email></Contact></Editor><Affiliation ID="Aff17"><OrgDivision>Information Security Group, Dep. of Computer Science</OrgDivision><OrgName>ETH</OrgName><OrgAddress><City>Zurich</City><Country>Switzerland</Country></OrgAddress></Affiliation><Affiliation ID="Aff18"><OrgName>LORIA & INRIA Lorraine UMR 7503</OrgName><OrgAddress><Country> </Country></OrgAddress></Affiliation></EditorGroup></BookHeader><Part ID="Part9"><PartInfo TocLevels="0"><PartID>9</PartID><PartSequenceNumber>9</PartSequenceNumber><PartTitle>Interactive Theorem Proving</PartTitle><PartChapterCount>3</PartChapterCount><PartContext><SeriesID>558</SeriesID><BookTitle>Automated Reasoning</BookTitle></PartContext></PartInfo><Chapter ID="Chap28" Language="En"><ChapterInfo ChapterType="OriginalPaper" ContainsESM="No" NumberingDepth="2" NumberingStyle="ContentOnly" TocLevels="0"><ChapterID>28</ChapterID><ChapterDOI>10.1007/978-3-540-25984-8_28</ChapterDOI><ChapterSequenceNumber>28</ChapterSequenceNumber><ChapterTitle Language="En">Experiments on Supporting Interactive Proof Using Resolution</ChapterTitle><ChapterFirstPage>372</ChapterFirstPage><ChapterLastPage>384</ChapterLastPage><ChapterCopyright><CopyrightHolderName>Springer-Verlag Berlin Heidelberg</CopyrightHolderName><CopyrightYear>2004</CopyrightYear></ChapterCopyright><ChapterGrants Type="Regular"><MetadataGrant Grant="OpenAccess"></MetadataGrant><AbstractGrant Grant="OpenAccess"></AbstractGrant><BodyPDFGrant Grant="Restricted"></BodyPDFGrant><BodyHTMLGrant Grant="Restricted"></BodyHTMLGrant><BibliographyGrant Grant="Restricted"></BibliographyGrant><ESMGrant Grant="Restricted"></ESMGrant></ChapterGrants><ChapterContext><SeriesID>558</SeriesID><PartID>9</PartID><BookID>978-3-540-25984-8</BookID><BookTitle>Automated Reasoning</BookTitle></ChapterContext></ChapterInfo><ChapterHeader><AuthorGroup><Author AffiliationIDS="Aff19"><AuthorName DisplayOrder="Western"><GivenName>Jia</GivenName><FamilyName>Meng</FamilyName></AuthorName><Contact><Email>jm318@cam.ac.uk</Email></Contact></Author><Author AffiliationIDS="Aff19"><AuthorName DisplayOrder="Western"><GivenName>Lawrence</GivenName><GivenName>C.</GivenName><FamilyName>Paulson</FamilyName></AuthorName><Contact><Email>lp15@cam.ac.uk</Email></Contact></Author><Affiliation ID="Aff19"><OrgDivision>Computer Laboratory</OrgDivision><OrgName>University of Cambridge</OrgName><OrgAddress><Street>15 JJ Thomson Avenue</Street><City>Cambridge</City><Postcode>CB3 0FD</Postcode><Country>(UK)</Country></OrgAddress></Affiliation></AuthorGroup><Abstract ID="Abs1" Language="En"><Heading>Abstract</Heading><Para>Interactive theorem provers can model complex systems, but require much effort to prove theorems. Resolution theorem provers are automatic and powerful, but they are designed to be used for very different applications. This paper reports a series of experiments designed to determine whether resolution can support interactive proof as it is currently done. In particular, we present a sound and practical encoding in first-order logic of Isabelle’s type classes.</Para></Abstract></ChapterHeader><NoBody></NoBody></Chapter></Part></Book></Series></Publisher></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Experiments on Supporting Interactive Proof Using Resolution</title></titleInfo><titleInfo type="alternative" contentType="CDATA"><title>Experiments on Supporting Interactive Proof Using Resolution</title></titleInfo><name type="personal"><namePart type="given">Jia</namePart><namePart type="family">Meng</namePart><affiliation>Computer Laboratory, University of Cambridge, 15 JJ Thomson Avenue, CB3 0FD, Cambridge, (UK)</affiliation><affiliation>E-mail: jm318@cam.ac.uk</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Lawrence</namePart><namePart type="given">C.</namePart><namePart type="family">Paulson</namePart><affiliation>Computer Laboratory, University of Cambridge, 15 JJ Thomson Avenue, CB3 0FD, Cambridge, (UK)</affiliation><affiliation>E-mail: lp15@cam.ac.uk</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre displayLabel="OriginalPaper" authority="ISTEX" authorityURI="https://content-type.data.istex.fr" type="conference" valueURI="https://content-type.data.istex.fr/ark:/67375/XTP-BFHXPBJJ-3">conference</genre><originInfo><publisher>Springer Berlin Heidelberg</publisher><place><placeTerm type="text">Berlin, Heidelberg</placeTerm></place><dateIssued encoding="w3cdtf">2004</dateIssued><copyrightDate encoding="w3cdtf">2004</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><abstract lang="en">Abstract: Interactive theorem provers can model complex systems, but require much effort to prove theorems. Resolution theorem provers are automatic and powerful, but they are designed to be used for very different applications. This paper reports a series of experiments designed to determine whether resolution can support interactive proof as it is currently done. In particular, we present a sound and practical encoding in first-order logic of Isabelle’s type classes.</abstract><relatedItem type="host"><titleInfo><title>Automated Reasoning</title><subTitle>Second International Joint Conference, IJCAR 2004, Cork, Ireland, July 4-8, 2004. Proceedings</subTitle></titleInfo><name type="personal"><namePart type="given">David</namePart><namePart type="family">Basin</namePart><affiliation>Information Security Group, Dep. of Computer Science, ETH, Zurich, Switzerland</affiliation><affiliation>E-mail: basin@inf.ethz.ch</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Michaël</namePart><namePart type="family">Rusinowitch</namePart><affiliation>LORIA & INRIA Lorraine UMR 7503, </affiliation><affiliation>E-mail: rusi@loria.fr</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><genre type="book-series" authority="ISTEX" authorityURI="https://publication-type.data.istex.fr" valueURI="https://publication-type.data.istex.fr/ark:/67375/JMC-0G6R5W5T-Z">book-series</genre><originInfo><publisher>Springer</publisher><copyrightDate encoding="w3cdtf">2004</copyrightDate><issuance>monographic</issuance></originInfo><subject><genre>Book-Subject-Collection</genre><topic authority="SpringerSubjectCodes" authorityURI="SUCO11645">Computer Science</topic></subject><subject><genre>Book-Subject-Group</genre><topic authority="SpringerSubjectCodes" authorityURI="I">Computer Science</topic><topic authority="SpringerSubjectCodes" authorityURI="I21017">Artificial Intelligence (incl. 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type="given">Takeo</namePart><namePart type="family">Kanade</namePart><affiliation>Carnegie Mellon University, Pittsburgh, PA, USA</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Josef</namePart><namePart type="family">Kittler</namePart><affiliation>University of Surrey, Guildford, UK</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Jon</namePart><namePart type="given">M.</namePart><namePart type="family">Kleinberg</namePart><affiliation>Cornell University, Ithaca, NY, USA</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Friedemann</namePart><namePart type="family">Mattern</namePart><affiliation>ETH Zurich, Switzerland</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">John</namePart><namePart 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