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Co Induction And Co Recursion In Higher Order Logic


Co Induction And Co Recursion In Higher Order Logic
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Co Induction And Co Recursion In Higher Order Logic


Co Induction And Co Recursion In Higher Order Logic
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Author : Lawrence C. Paulson
language : en
Publisher:
Release Date : 1993

Co Induction And Co Recursion In Higher Order Logic written by Lawrence C. Paulson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Automatic theorem proving categories.


The theory is demonstrated using lists and lazy lists as examples. The emphasis is on using co-recursion to define lazy list functions, and on using co-induction to reason about them."



Theorem Proving In Higher Order Logics


Theorem Proving In Higher Order Logics
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Author : Yves Bertot
language : en
Publisher: Springer
Release Date : 2003-07-31

Theorem Proving In Higher Order Logics written by Yves Bertot and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-31 with Mathematics categories.


This book constitutes the refereed proceedings of the 12th International Conference on Theorem Proving in Higher Order Logics, TPHOLs '99, held in Nice, France, in September 1999. The 20 revised full papers presented together with three invited contributions were carefully reviewed and selected from 35 papers submitted. All current aspects of higher order theorem proving, formal verification, and specification are discussed. Among the theorem provers evaluated are COQ, HOL, Isabelle, Isabelle/ZF, and OpenMath.



Theorem Proving In Higher Order Logics


Theorem Proving In Higher Order Logics
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Author : Klaus Schneider
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-28

Theorem Proving In Higher Order Logics written by Klaus Schneider and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-28 with Computers categories.


This book contains the refereed proceedings of the 20th International Conference on Theorem Proving in Higher Order Logics, TPHOLs 2007, held in Kaiserslautern, Germany, September 2007. Among the topics of this volume are formal semantics of specification, modeling, and programming languages, specification and verification of hardware and software, formalization of mathematical theories, advances in theorem prover technology, as well as industrial application of theorem provers.



Theorem Proving In Higher Order Logics


Theorem Proving In Higher Order Logics
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Author : Stefan Berghofer
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-04

Theorem Proving In Higher Order Logics written by Stefan Berghofer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-04 with Computers categories.


This volume constitutes the proceedings of the 22nd International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2009), which was held during August 17-20, 2009 in Munich, Germany. TPHOLs covers all aspects of theorem proving in higher order logics as well as related topics in theorem proving and veri?cation. There were 55 papers submitted to TPHOLs 2009 in the full research c- egory, each of which was refereed by at least three reviewers selected by the ProgramCommittee. Of these submissions, 26 researchpapers and 1 proofpearl were accepted for presentation at the conference and publication in this v- ume. In keeping with longstanding tradition, TPHOLs 2009 also o?ered a venue for the presentation of emerging trends, where researchers invited discussion by means of a brief introductory talk and then discussed their work at a poster session. A supplementary proceedings volume was published as a 2009 technical report of the Technische Universit¨ at Munc ¨ hen. The organizers are grateful to David Basin, John Harrison and Wolfram Schulte for agreeing to give invited talks. We also invited four tool devel- ers to give tutorials about their systems. The following speakers kindly accepted our invitation and we are grateful to them: John Harrison (HOL Light), Adam Naumowicz (Mizar), Ulf Norell (Agda) and Carsten Schur ¨ mann (Twelf).



Theorem Proving In Higher Order Logics


Theorem Proving In Higher Order Logics
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Author : Elsa L. Gunter
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-08-06

Theorem Proving In Higher Order Logics written by Elsa L. Gunter and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-08-06 with Computers categories.


This book constitutes the refereed proceedings of the 10th International Conference on Theorem Proving in Higher Order Logics, TPHOLs '97, held in Murray Hill, NJ, USA, in August 1997. The volume presents 19 carefully revised full papers selected from 32 submissions during a thorough reviewing process. The papers cover work related to all aspects of theorem proving in higher order logics, particularly based on secure mechanization of those logics; the theorem proving systems addressed include Coq, HOL, Isabelle, LEGO, and PVS.



Theorem Proving In Higher Order Logics


Theorem Proving In Higher Order Logics
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Author :
language : en
Publisher:
Release Date : 2000

Theorem Proving In Higher Order Logics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Automatic theorem proving categories.




Advanced Topics In Bisimulation And Coinduction


Advanced Topics In Bisimulation And Coinduction
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Author : Davide Sangiorgi
language : en
Publisher: Cambridge University Press
Release Date : 2011-10-13

Advanced Topics In Bisimulation And Coinduction written by Davide Sangiorgi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-13 with Computers categories.


Coinduction is a method for specifying and reasoning about infinite data types and automata with infinite behaviour. In recent years, it has come to play an ever more important role in the theory of computing. It is studied in many disciplines, including process theory and concurrency, modal logic and automata theory. Typically, coinductive proofs demonstrate the equivalence of two objects by constructing a suitable bisimulation relation between them. This collection of surveys is aimed at both researchers and Master's students in computer science and mathematics and deals with various aspects of bisimulation and coinduction, with an emphasis on process theory. Seven chapters cover the following topics: history, algebra and coalgebra, algorithmics, logic, higher-order languages, enhancements of the bisimulation proof method, and probabilities. Exercises are also included to help the reader master new material.



Types For Proofs And Programs


Types For Proofs And Programs
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Author : Stefano Berardi
language : en
Publisher: Springer
Release Date : 2004-05-17

Types For Proofs And Programs written by Stefano Berardi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-05-17 with Computers categories.


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.



Theorem Proving In Higher Order Logics


Theorem Proving In Higher Order Logics
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Author : Victor A. Carreno
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-08-07

Theorem Proving In Higher Order Logics written by Victor A. Carreno and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-07 with Computers categories.


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, Thþ er` eseHardin ProvingtheEquivalenceofMicrostepandMacrostepSemantics. ... 314 KlausSchneider WeakestPreconditionforGeneralRecursiveProgramsFormalizedinCoq.



Theorem Proving In Higher Order Logics


Theorem Proving In Higher Order Logics
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Author : Otmane Ait Mohamed
language : en
Publisher: Springer
Release Date : 2008-10-04

Theorem Proving In Higher Order Logics written by Otmane Ait Mohamed and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-04 with Computers categories.


This book constitutes the refereed proceedings of the 21st International Conference on Theorem Proving in Higher Order Logics, TPHOLs 2008, held in Montreal, Canada, in August 2008. The 17 revised full papers presented together with 1 proof pearl (concise and elegant presentations of interesting examples), 5 tool presentations, and 2 invited papers were carefully reviewed and selected from 40 submissions. The papers cover all aspects of theorem proving in higher order logics as well as related topics in theorem proving and verification such as formal semantics of specification, modeling, and programming languages, specification and verification of hardware and software, formalisation of mathematical theories, advances in theorem prover technology, as well as industrial application of theorem provers.