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- catalog abstract "Thisvolumecontainstheproceedingsofthe 15th International Conference on TheoremProvinginHigherOrderLogics(TPHOLs2002)heldon20–23August 2002inHampton,Virginia,USA. Theconferenceservesasavenueforthep- sentationofworkintheoremprovinginhigher-orderlogics,andrelatedareas indeduction,formalspeci?cation,softwareandhardwareveri?cation,andother applications. Eachofthe34paperssubmittedinthefullresearchcategorywasrefereedby atleastthreereviewersfromtheprogramcommitteeorbyareviewerappointed bytheprogramcommittee. Ofthesesubmissions,20paperswereacceptedfor presentationattheconferenceandpublicationinthisvolume. Followingawell-establishedtraditioninthisconferenceseries,TPHOLs2002 alsoo?eredavenueforthepresentationofworkinprogress. Fortheworkin progresstrack,shortintroductorytalksweregivenbyresearchers,followedby anopenpostersessionforfurtherdiscussion. Papersacceptedforpresentation inthistrackhavebeenpublishedasConferenceProceedingsCPNASA-2002- 211736. TheorganizerswouldliketothankRickyButlerandG´erardHuetforgra- fullyacceptingourinvitationtogivetalksatTPHOLs2002. RickyButlerwas instrumentalintheformationoftheFormalMethodsprogramattheNASA LangleyResearchCenterandhasledthegroupsinceitsbeginnings. TheNASA LangleyFormalMethodsgroup,underRickyButler’sguidance,hasfunded, beeninvolvedin,orin?uencedmanyformalveri?cationprojectsintheUSover morethantwodecades. In1998G´erardHuetreceivedtheprestigiousHerbrand Awardforhisfundamentalcontributionstotermrewritingandtheoremproving inhigher-orderlogic,aswellasmanyotherkeycontributionstothe?eldof- tomatedreasoning. HeistheoriginatoroftheCoqSystem,underdevelopment atINRIA-Rocquencourt. Dr. Huet’scurrentmaininterestiscomputationall- guistics,howeverhisworkcontinuestoin?uenceresearchersaroundtheworldin awidespectrumofareasintheoreticalcomputerscience,formalmethods,and softwareengineering. ThevenueoftheTPHOLsconferencetraditionallychangescontinenteach yearinordertomaximizethelikelihoodthatresearchersfromallovertheworld willattend. Startingin1993,theproceedingsofTPHOLsanditspredecessor workshopshavebeenpublishedinthefollowingvolumesoftheSpringer-Verlag LectureNotesinComputerScienceseries: 1993(Canada) 780 1998(Australia)1479 1994(Malta) 859 1999(France) 1690 1995(USA) 971 2000(USA) 1869 1996(Finland)1125 2001(UK) 2152 1997(USA) 1275 VI Preface The2002conferencewasorganizedbyateamfromNASALangleyResearch Center,theICASEInstituteatLangleyResearchCenter,andConcordiaU- versity. FinancialsupportcamefromIntelCorporation. Thesupportofallthese organizationsisgratefullyacknowledged. August2002 V´?ctorA. Carreno ˜ C´esarA. Muno ˜z VII Organization TPHOLs2002isorganizedbyNASALangleyandICASEincooperationwith ConcordiaUniversity. Organizing Committee ConferenceChair: V´?ctorA. Carren˜o(NASALangley) ProgramChair: C´esarA. Muno ˜z(ICASE,NASALaRC) So?`eneTahar(ConcordiaUniversity) ProgramCommittee MarkAagaard(Waterloo) MichaelKohlhase(CMU&Saarland) DavidBasin(Freiburg) ThomasKropf(Bosch) V´?ctorCarren˜o(NASALangley) TomMelham(Glasgow) Shiu-KaiChin(Syracuse) JStrotherMoore(Texas,Austin) PaulCurzon(Middlesex) C´esarMuno ˜z(ICASE,NASALaRC) GillesDowek(INRIA) SamOwre(SRI) HaraldGanzinger(MPISaarbruc ¨ken) ChristinePaulin-Mohring(INRIA) GaneshGopalakrishnan(Utah) LawrencePaulson(Cambridge) JimGrundy(Intel) FrankPfenning(CMU) ElsaGunter(NJIT) KlausSchneider(Karlsruhe) JohnHarrison(Intel) HennySipma(Stanford) DougHowe(Carleton) KonradSlind(Utah) BartJacobs(Nijmegen) DonSyme(Microsoft) PaulJackson(Edinburgh) So?`eneTahar(Concordia) SaraKalvala(Warwick) WaiWong(HongKongBaptist) Additional Reviewers OtmaneAit-Mohamed AlfonsGeser HaraldRueß BehzadAkbarpour HanneGottliebsen LeonvanderTorre NancyDay MikeKishinevsky TomasUribe BenDiVito HansdeNivelle Jean-ChristopheFilliˆatre AndrewPitts Invited Speakers RickyButler(NASALangley) G´erardHuet(INRIA) VIII Preface Sponsoring Institutions NASALangley ICASE ConcordiaUniversity INTEL Table of Contents Invited Talks FormalMethodsatNASALangley. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 RickyButler HigherOrderUni?cation30YearsLater. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 G´ erardHuet Regular Papers CombiningHigherOrderAbstractSyntaxwithTacticalTheoremProving and(Co)Induction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 Simon J. Ambler,RoyL. Crole,AlbertoMomigliano E?cientReasoningaboutExecutableSpeci?cationsinCoq. . . . . . . . . . . . . . 31 GillesBarthe,PierreCourtieu Veri?edBytecodeModelCheckers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 DavidBasin,StefanFriedrich,MarekGawkowski The5ColourTheoreminIsabelle/Isar. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 GertrudBauer,TobiasNipkow Type-TheoreticFunctionalSemantics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 YvesBertot,VenanzioCapretta,KuntalDasBarman AProposalforaFormalOCLSemanticsinIsabelle/HOL. . . . . . . . . . . . . . . 99 AchimD. Brucker,BurkhartWol? ExplicitUniversesfortheCalculusofConstructions. . . . . . . . . . . . . . . . . . . . 115 Judica¨ elCourant FormalisedCutAdmissibilityforDisplayLogic. . . . . . . . . . . . . . . . . . . . . . . . 131 JeremyE. Dawson,RajeevGor´e FormalizingtheTradingTheoremfortheClassi?cationofSurfaces. . . . . . . 148 ChristopheDehlinger,Jean-Fran¸coisDufourd Free-StyleTheoremProving. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 164 DavidDelahaye AComparisonofTwoProofCritics:Powervs. Robustness. . . . . . . . . . . . . . 182 LouiseA. Dennis,AlanBundy X TableofContents Two-LevelMeta-reasoninginCoq. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 198 AmyP. Felty PuzzleTool:AnExampleofProgrammingComputationandDeduction . . 214 MichaelJ. C. Gordon AFormalApproachtoProbabilisticTermination. . . . . . . . . . . . . . . . . . . . . . . 230 JoeHurd UsingTheoremProvingforNumericalAnalysis. . . . . . . . . . . . . . . . . . . . . . . . 246 MicaelaMayero QuotientTypes:AModularApproach. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 263 AlekseyNogin SequentSchemaforDerivedRules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 281 AlekseyNogin,JasonHickey AlgebraicStructuresandDependentRecords . . . . . . . . . . . . . . . . . . . . . . . . . 298 VirgilePrevosto,DamienDoligez,Th´ er` eseHardin ProvingtheEquivalenceofMicrostepandMacrostepSemantics. . . . . . . . . . 314 KlausSchneider WeakestPreconditionforGeneralRecursiveProgramsFormalizedinCoq .".
- catalog contributor b12620473.
- catalog contributor b12620474.
- catalog contributor b12620475.
- catalog contributor b12620476.
- catalog created "c2002.".
- catalog date "2002".
- catalog date "c2002.".
- catalog dateCopyrighted "c2002.".
- catalog description "67 GertrudBauer,TobiasNipkow Type-TheoreticFunctionalSemantics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 YvesBertot,VenanzioCapretta,KuntalDasBarman AProposalforaFormalOCLSemanticsinIsabelle/HOL. . . . . . . . . . . . . . . 99 AchimD. Brucker,BurkhartWol? ExplicitUniversesfortheCalculusofConstructions. . . . . . . . . . . . . . . . . . . . 115 Judica¨ elCourant FormalisedCutAdmissibilityforDisplayLogic. . . . . . . . . . . . . . . . . . . . . . . . 131 JeremyE. Dawson,RajeevGor´e FormalizingtheTradingTheoremfortheClassi?cationofSurfaces. . . . . . . 148 ChristopheDehlinger,Jean-Fran¸coisDufourd Free-StyleTheoremProving. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 164 DavidDelahaye AComparisonofTwoProofCritics:Powervs. Robustness. . . . . . . . . . . . . . 182 LouiseA. Dennis,AlanBundy X TableofContents Two-LevelMeta-reasoninginCoq. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 198 AmyP. ".
- catalog description "Felty PuzzleTool:AnExampleofProgrammingComputationandDeduction . . 214 MichaelJ. C. Gordon AFormalApproachtoProbabilisticTermination. . . . . . . . . . . . . . . . . . . . . . . 230 JoeHurd UsingTheoremProvingforNumericalAnalysis. . . . . . . . . . . . . . . . . . . . . . . . 246 MicaelaMayero QuotientTypes:AModularApproach. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 263 AlekseyNogin SequentSchemaforDerivedRules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 281 AlekseyNogin,JasonHickey AlgebraicStructuresandDependentRecords . . . . . . . . . . . . . . . . . . . . . . . . . 298 VirgilePrevosto,DamienDoligez,Th´ er` eseHardin ProvingtheEquivalenceofMicrostepandMacrostepSemantics. . . . . . . . . . 314 KlausSchneider WeakestPreconditionforGeneralRecursiveProgramsFormalizedinCoq .".
- catalog description "Formal Methods at NASA Langley / Ricky Butler -- Higher Order Unification 30 Years Later / Gerard Huet -- Combining Higher Order Abstract Syntax with Tactical Theorem Proving and (Co)Induction / Simon J. Ambler, Roy L. Crole and Alberto Momigliano -- Efficient Reasoning about Executable Specifications in Coq / Gilles Barthe and Pierre Courtieu -- Verified Bytecode Model Checkers / David Basin, Stefan Friedrich and Marek Gawkowski -- The 5 Colour Theorem in Isabelle/Isar / Gertrud Bauer and Tobias Nipkow -- Type-Theoretic Functional Semantics / Yves Bertot, Venanzio Capretta and Kuntal Das Barman -- A Proposal for a Formal OCL Semantics in Isabelle/HOL / Achim D. Brucker and Burkhart Wolff.".
- catalog description "Includes bibliographical references and index.".
- catalog description "Muno ˜z(ICASE,NASALaRC) So?`eneTahar(ConcordiaUniversity) ProgramCommittee MarkAagaard(Waterloo) MichaelKohlhase(CMU&Saarland) DavidBasin(Freiburg) ThomasKropf(Bosch) V´?ctorCarren˜o(NASALangley) TomMelham(Glasgow) Shiu-KaiChin(Syracuse) JStrotherMoore(Texas,Austin) PaulCurzon(Middlesex) C´esarMuno ˜z(ICASE,NASALaRC) GillesDowek(INRIA) SamOwre(SRI) HaraldGanzinger(MPISaarbruc ¨ken) ChristinePaulin-Mohring(INRIA) GaneshGopalakrishnan(Utah) LawrencePaulson(Cambridge) JimGrundy(Intel) FrankPfenning(CMU) ElsaGunter(NJIT) KlausSchneider(Karlsruhe) JohnHarrison(Intel) HennySipma(Stanford) DougHowe(Carleton) KonradSlind(Utah) BartJacobs(Nijmegen) DonSyme(Microsoft) PaulJackson(Edinburgh) So?`eneTahar(Concordia) SaraKalvala(Warwick) WaiWong(HongKongBaptist) Additional Reviewers OtmaneAit-Mohamed AlfonsGeser HaraldRueß BehzadAkbarpour HanneGottliebsen LeonvanderTorre NancyDay MikeKishinevsky TomasUribe BenDiVito HansdeNivelle Jean-ChristopheFilliˆatre AndrewPitts Invited Speakers ".
- catalog description "RickyButler(NASALangley) G´erardHuet(INRIA) VIII Preface Sponsoring Institutions NASALangley ICASE ConcordiaUniversity INTEL Table of Contents Invited Talks FormalMethodsatNASALangley. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 RickyButler HigherOrderUni?cation30YearsLater. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 G´ erardHuet Regular Papers CombiningHigherOrderAbstractSyntaxwithTacticalTheoremProving and(Co)Induction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 Simon J. Ambler,RoyL. Crole,AlbertoMomigliano E?cientReasoningaboutExecutableSpeci?cationsinCoq. . . . . . . . . . . . . . 31 GillesBarthe,PierreCourtieu Veri?edBytecodeModelCheckers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 DavidBasin,StefanFriedrich,MarekGawkowski The5ColourTheoreminIsabelle/Isar. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ".
- catalog description "TheorganizerswouldliketothankRickyButlerandG´erardHuetforgra- fullyacceptingourinvitationtogivetalksatTPHOLs2002. RickyButlerwas instrumentalintheformationoftheFormalMethodsprogramattheNASA LangleyResearchCenterandhasledthegroupsinceitsbeginnings. TheNASA LangleyFormalMethodsgroup,underRickyButler’sguidance,hasfunded, beeninvolvedin,orin?uencedmanyformalveri?cationprojectsintheUSover morethantwodecades. In1998G´erardHuetreceivedtheprestigiousHerbrand Awardforhisfundamentalcontributionstotermrewritingandtheoremproving inhigher-orderlogic,aswellasmanyotherkeycontributionstothe?eldof- tomatedreasoning. HeistheoriginatoroftheCoqSystem,underdevelopment atINRIA-Rocquencourt. Dr. Huet’scurrentmaininterestiscomputationall- guistics,howeverhisworkcontinuestoin?uenceresearchersaroundtheworldin awidespectrumofareasintheoreticalcomputerscience,formalmethods,and softwareengineering. ".
- catalog description "ThevenueoftheTPHOLsconferencetraditionallychangescontinenteach yearinordertomaximizethelikelihoodthatresearchersfromallovertheworld willattend. Startingin1993,theproceedingsofTPHOLsanditspredecessor workshopshavebeenpublishedinthefollowingvolumesoftheSpringer-Verlag LectureNotesinComputerScienceseries: 1993(Canada) 780 1998(Australia)1479 1994(Malta) 859 1999(France) 1690 1995(USA) 971 2000(USA) 1869 1996(Finland)1125 2001(UK) 2152 1997(USA) 1275 VI Preface The2002conferencewasorganizedbyateamfromNASALangleyResearch Center,theICASEInstituteatLangleyResearchCenter,andConcordiaU- versity. FinancialsupportcamefromIntelCorporation. Thesupportofallthese organizationsisgratefullyacknowledged. August2002 V´?ctorA. Carreno ˜ C´esarA. Muno ˜z VII Organization TPHOLs2002isorganizedbyNASALangleyandICASEincooperationwith ConcordiaUniversity. Organizing Committee ConferenceChair: V´?ctorA. Carren˜o(NASALangley) ProgramChair: C´esarA. ".
- catalog description "Thisvolumecontainstheproceedingsofthe 15th International Conference on TheoremProvinginHigherOrderLogics(TPHOLs2002)heldon20–23August 2002inHampton,Virginia,USA. Theconferenceservesasavenueforthep- sentationofworkintheoremprovinginhigher-orderlogics,andrelatedareas indeduction,formalspeci?cation,softwareandhardwareveri?cation,andother applications. Eachofthe34paperssubmittedinthefullresearchcategorywasrefereedby atleastthreereviewersfromtheprogramcommitteeorbyareviewerappointed bytheprogramcommittee. Ofthesesubmissions,20paperswereacceptedfor presentationattheconferenceandpublicationinthisvolume. Followingawell-establishedtraditioninthisconferenceseries,TPHOLs2002 alsoo?eredavenueforthepresentationofworkinprogress. Fortheworkin progresstrack,shortintroductorytalksweregivenbyresearchers,followedby anopenpostersessionforfurtherdiscussion. Papersacceptedforpresentation inthistrackhavebeenpublishedasConferenceProceedingsCPNASA-2002- 211736. ".
- catalog extent "x, 347 p. :".
- catalog hasFormat "Also available via the World Wide Web.".
- catalog identifier "3540440399 (pbk. : alk. paper)".
- catalog isFormatOf "Also available via the World Wide Web.".
- catalog isPartOf "Lecture notes in computer science ; 2410.".
- catalog isPartOf "Lecture notes in computer science, 0302-9743 ; 2410. Lecture notes in artifical intelligence".
- catalog isPartOf "Lecture notes in computer science. Lecture notes in artificial intelligence.".
- catalog issued "2002".
- catalog issued "c2002.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Also available via the World Wide Web.".
- catalog subject "004/.01/5113 21".
- catalog subject "Automatic theorem proving Congresses.".
- catalog subject "Computer science.".
- catalog subject "Logic design.".
- catalog subject "QA76.9.A96 T655 2002".
- catalog subject "Software engineering.".
- catalog tableOfContents "Formal Methods at NASA Langley / Ricky Butler -- Higher Order Unification 30 Years Later / Gerard Huet -- Combining Higher Order Abstract Syntax with Tactical Theorem Proving and (Co)Induction / Simon J. Ambler, Roy L. Crole and Alberto Momigliano -- Efficient Reasoning about Executable Specifications in Coq / Gilles Barthe and Pierre Courtieu -- Verified Bytecode Model Checkers / David Basin, Stefan Friedrich and Marek Gawkowski -- The 5 Colour Theorem in Isabelle/Isar / Gertrud Bauer and Tobias Nipkow -- Type-Theoretic Functional Semantics / Yves Bertot, Venanzio Capretta and Kuntal Das Barman -- A Proposal for a Formal OCL Semantics in Isabelle/HOL / Achim D. Brucker and Burkhart Wolff.".
- catalog title "Theorem proving in higher order logics : 15th International Conference, TPHOLs 2002, Hampton, VA, USA, August 20-23, 2002 : proceedings / Victor A. Carreño, César A. Muñoz, Sofiène Tahar, eds.".
- catalog type "Conference proceedings. fast".
- catalog type "Hampton (Va., 2002) swd".
- catalog type "text".