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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Thisbookcontainsaselectionofpaperspresentedatthesecondannualworkshop heldundertheauspicesoftheEspritWorkingGroup21900Types. Theworkshop tookplaceinIrsee,Germany,from27to31ofMarch1998andwasattendedby 89researchers. Ofthe25submissions,14wereselectedforpublicationafteraregularref- eeingprocess. The nalchoicewasmadebytheeditors. Thisvolumeisasequeltotheproceedingsfromthe rstworkshopofthe workinggroup,whichtookplaceinAussois,France,inDecember1996. The proceedingsappearedinvol. 1512oftheLNCSseries,editedbyChristinePaulin- MohringandEduardoGim enez. Theseworkshopsare,inturn,acontinuationofthemeetingsorganizedin 1993,1994,and1995undertheauspicesoftheEspritBasicResearchAction 6453 Types for Proofs and Programs. Thoseproceedingswerealsopublished intheLNCSseries,editedbyHenkBarendregtandTobiasNipkow(vol. 806, 1993),byPeterDybjer,BengtNordstr omandJanSmith(vol. 996,1994)and byStefanoBerardiandMarioCoppo(vol. 1158,1995). TheEspritBRA6453 wasacontinuationoftheformerEspritAction3245Logical Frameworks: - sign,ImplementationandExperiments. Thearticlesfromtheannualworkshops organizedunderthatActionwereeditedbyGerardHuetandGordonPlotkin inth Elektronisches BuchLogical FrameworksandLogicalEnvironments,bothpublishedby CambridgeUniversityPress. Acknowledgments WewouldliketothankIrmgardMignaniandAgnesSzabo-Lackingerforhelping uswithprocessingtheregistrations,andRalphMatthesandMarkusWenzelfor organizationalsupportduringthemeeting. Weareindebtedtotheorganizersof theWorkingGroupTypesandalsotoPeterClote,TobiasNipkowandMartin Wirsingforgivingustheopportunitytoorganizethisworkshopandfortheir support. WewouldalsoliketoacknowledgefundingbytheEuropeanUnion. Thisvolumewouldnothavebeenpossiblewithouttheworkofthereferees. Theyarelistedonthenextpageandwethankthemfortheirinvaluablehelp. June1999 ThorstenAltenkirch WolfgangNaraschewski BernhardReus VI List of Referees PeterAczel PetriMa enp a a ThorstenAltenkirch RalphMatthes GillesBarthe MichaelMendler HenkBarendregt WolfgangNaraschewski UliBerger TobiasNipkow MarcBezem SaraNegri VenanzioCapretta ChristinePaulin-Mohring MarioCoppo HenrikPersson CatarinaCoquand RandyPollack RobertoDiCosmo DavidPym GillesDowek ChristopheRa alli MarcDymetman AarneRanta Jean-ChristopheFilli atre BernhardReus NeilGhani EikeRitter MartinHofmann GiovanniSambin MonikaSeisenberger FurioHonsell AntonSetzer PaulJackson JanSmith FelixJoachimski FlorianKammuller SergeiSoloview JamesMcKinna MakotoTakeyama Sim aoMelodeSousa SilvioValentini ThomasKleymann MarkusWenzel HansLeiss BenjaminWerner Table of Contents OnRelatingTypeTheoriesandSetTheories. . . . . . . . . . . . . . . . . . . . . . . . . . 1 PeterAczel CommunicationModellingandContext-DependentInterpretation: AnIntegratedApproach. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 Ren eAhn,TijnBorghuis Grobner BasesinTypeTheory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 ThierryCoquand,HenrikPersson AModalLambdaCalculuswithIterationandCaseConstructs. . . . . . . . . . 47 Jo elleDespeyroux,PierreLeleu ProofNormalizationModulo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 GillesDowek,BenjaminWerner ProofofImperativeProgramsinTypeTheory. . . . . . . . . . . . . . . . . . . . . . . . . 78 Jean-ChristopheFilli atre AnInterpretationoftheFanTheoreminTypeTheory . . . . . . . . . . . . . . . . . 93 DanielFridlender ConjunctiveTypesandSKInT. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106 JeanGoubault-Larrecq ModularStructuresasDependentTypesinIsabelle . . . . . . . . . . . . . . . . . . . . 121 FlorianKammul ler MetatheoryofVeri cationCalculiinLEGO. . . . . . . . . . . . . . . . . . . . . . . . . . . 133 ThomasKleymann BoundedPolymorphismforExtensibleObjects . . . . . . . . . . . . . . . . . . . . . . . . 149 LuigiLiquori AboutE ectiveQuotientsinConstructiveTypeTheory . . . . . . . . . . . . . . . . 164 MariaEmi. …

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book contains a selection of papers presented at the third annual workshop of the Esprit Working Group 21900 Types, which was held 12 - 16 June 1999 at L okeberg in the rural area north of G oteborg and close to Marstrand. It was attended by 77 researchers. The two previous workshops of the working group were held in Aussois, France, in December 1996 and in Irsee, Germany, in March 1998. The proc- dings of those workshops appear as LNCS Vol. 1512 (edited by Christine Paulin- Mohring and Eduardo Gimenez) and LNCS Vol. 1657 (edited by Thorsten - tenkirch, Wolfgang Naraschewski, and Bernhard Reus). These workshops are, in turn, a continuation of the meetings organized in 1993, 1994, and 1995 under the auspices of the Esprit Basic Research Action 6453 Types for Proofs and Programs. Those proceedings were also published in the LNCS series, edited by Henk Barendregt and Tobias Nipkow (Vol. 806, 1993), by Peter Dybjer, Bengt Nordstr om, and Jan Smith (Vol. 996, 1994) and by Stefano Berardi and Mario Coppo (Vol. 1158, 1995). The Esprit BRA 6453 was a continuation of the former Esprit Action 3245 Logical Frameworks: - sign, Implementation and Experiments. The articles from the annual workshops organized under that Action were edited by Gerard Huet and Gordon Plotkin in the books Logical Frameworks and Logical Environments, both published by Cambridge University Press.…

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book presents a strictly refereed collection of revised full papers selected from the papers accepted for the TYPES '94 Workshop, held under the auspices of the ESPRIT Basic Research Action 6453 Types for Proofs and Programs in Bastad, Sweden, in June 1994.The 10 papers included address various aspects of developing computer-assisted proofs and programs using a logical framework. Type theory and three logical frameworks based on it are dealt with: ALF, Coq, and LEGO; other topics covered are metatheory, the Isabelle system, 2-calculus, proof checkers, and ZF set theory.…

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The refereed post-proceedings of the International Workshop of the Types Working Group are presented in this volume. The 17 papers address all current issues in formal reasoning and computer programming based on type theory, including languages and computerized tools for reasoning; applications in several domains, such as analysis of programming languages; certified software; formalization of mathematics; and mathematics education.…

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book contains a selection of papers presented at the rst annual workshop of the TYPES Working Group (Computer-Assisted Reasoning Based on Type Theory, EU IST project 29001), which was held 8th 12th of December, 2000 at the University of Durham, Durham, UK. It was attended by about 80 researchers. The workshop follows a series of meetings organised in 1993, 1994, 1995, 1996, 1998, and 1999 under the auspices of the Esprit BRA6435 and the - prit Working Group 21900 for the previous TYPES projects. Those proceedings were also published in the LNCS series, edited by Henk Barendregt and Tobias Nipkow (Vol. 806, 1993), by Peter Dybjer, Bengt Nordstr om, and Jan Smith (Vol. 996, 1994), by Stefano Berardi and Mario Coppo (Vol. 1158, 1995), by Christine Paulin-Mohring and Eduardo Gimenez (Vol. 1512, 1996), by Thorsten Altenkirch, Wolfgang Naraschewski, and Bernhard Reus (Vol. 1657, 1998), and by Thierry Coquand, Peter Dybjer, Bengt Nordstr om, and Jan Smith (Vol. 1956, 1999). The Esprit BRA6453 was itself a continuation of the former Esprit - tion 3245, Logical Frameworks: Design, Implementation, and Experiments. The articles from the annual workshops under that Action were edited by Gerard Huet and Gordon Plotkin in the books Logical Frameworks and Logical En- ronments, both published by Cambridge University Press. Acknowledgements We are very grateful to members of Durham s Computer Assisted Reasoning Group, especially Robert Kießling, for helping to organise the workshop. Robert s contribution was key to the success of the meeting.…

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book constitutes the thoroughly refereed post-conference proceedings of TYPES 2007, the concluding conference of the Types project, held in Cividale del Friuli, Italy, in May 2007. The 13 revised full papers presented were carefully reviewed and selected from 22 submissions. The topic of this last annual workshop of the Types Working Group was formal reasoning and computer programming based on type theory. Great importance was attached to languages and computerized tools for reasoning, and applications in several domains such as analysis of programming languages, certified software, formalization of mathematics and mathematics education.…

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This volume contains thoroughly refereed and revised full papers selected from the presentations at the first workshop held under the auspices of the ESPRIT Basic Research Action 6453 Types for Proofs and Programs in Nijmegen, The Netherlands, in May 1993.As the whole ESPRIT BRA 6453, this volume is devoted to the theoretical foundations, design and applications of systems for theory development. Such systems help in designing mathematical axiomatisation, performing computer-aided logical reasoning, and managing databases of mathematical facts; they are also known as proof assistants or proof checkers.…

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - These proceedings contain a selection of refereed papers presented at or related to the 3rd Annual Workshop of the Types Working Group (Computer-Assisted Reasoning Based on Type Theory, EU IST project 29001), which was held d- ing April 30 to May 4, 2003, in Villa Gualino, Turin, Italy. The workshop was attended by about 100 researchers. Out of 37 submitted papers, 25 were selected after a refereeing process. The nal choices were made by the editors. Two previous workshops of the Types Working Group under EU IST project 29001 were held in 2000 in Durham, UK, and in 2002 in Berg en Dal (close to Nijmegen), The Netherlands. These workshops followed a series of meetings organized in the period 1993-2002 within previous Types projects (ESPRIT BRA 6435 and ESPRIT Working Group 21900). The proceedings of these e- lier workshops were also published in the LNCS series, as volumes 806, 996, 1158, 1512, 1657, 2277, and 2646. ESPRIT BRA 6453 was a continuation of ESPRIT Action 3245, Logical Frameworks: Design, Implementation and Ex- riments. Proceedings for annual meetings under that action were published by Cambridge University Press in the books 'Logical Frameworks', and 'Logical Environments', edited by G. Huet and G. Plotkin. We are very grateful to the members of the research group 'Semantics and Logics of Computation' of the Computer Science Department of the University of Turin, who helped organize the Types 2003 meeting in Torino.…