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Author :
Publisher :
ISBN 13 :
Total Pages : 364 pages
Book Rating : 4.3/5 (91 download)
Download or read book Theorem Proving in Higher Order Logics written by and published by . This book was released on 2004 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Melvin Fitting
Publisher : Springer Science & Business Media
ISBN 13 : 1468403575
Total Pages : 258 pages
Book Rating : 4.4/5 (684 download)
Download or read book First-Order Logic and Automated Theorem Proving written by Melvin Fitting and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many kinds of books on formal logic. Some have philosophers as their intended audience, some mathematicians, some computer scientists. Although there is a common core to all such books they will be very dif ferent in emphasis, methods, and even appearance. This book is intended for computer scientists. But even this is not precise. Within computer sci ence formal logic turns up in a number of areas, from program verification to logic programming to artificial intelligence. This book is intended for computer scientists interested in automated theorem proving in classical logic. To be more precise yet, it is essentially a theoretical treatment, not a how-to book, although how-to issues are not neglected. This does not mean, of course, that the book will be of no interest to philosophers or mathematicians. It does contain a thorough presentation of formal logic and many proof techniques, and as such it contains all the material one would expect to find in a course in formal logic covering completeness but not incompleteness issues. The first item to be addressed is, what are we talking about and why are we interested in it. We are primarily talking about truth as used in mathematical discourse, and our interest in it is, or should be, self-evident. Truth is a semantic concept, so we begin with models and their properties. These are used to define our subject.
Author : Victor A. Carreño
Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.:/5 (317 download)
Download or read book Theorem Proving in Higher Order Logics written by Victor A. Carreño and published by . This book was released on 2002 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Victor A. Carreno
Publisher : Springer Science & Business Media
ISBN 13 : 3540440399
Total Pages : 358 pages
Book Rating : 4.5/5 (44 download)
Download or read book Theorem Proving in Higher Order Logics written by Victor A. Carreno and published by Springer Science & Business Media. This book was released on 2002-08-07 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Michael J. C. Gordon
Publisher :
ISBN 13 : 9780521441896
Total Pages : 472 pages
Book Rating : 4.4/5 (418 download)
Download or read book Introduction to HOL written by Michael J. C. Gordon and published by . This book was released on 1993 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Higher-Order Logic (HOL) is a proof development system intended for applications to both hardware and software. It is principally used in two ways: for directly proving theorems, and as theorem-proving support for application-specific verification systems. HOL is currently being applied to a wide variety of problems, including the specification and verification of critical systems. Introduction to HOL provides a coherent and self-contained description of HOL containing both a tutorial introduction and most of the material that is needed for day-to-day work with the system. After a quick overview that gives a "hands-on feel" for the way HOL is used, there follows a detailed description of the ML language. The logic that HOL supports and how this logic is embedded in ML, are then described in detail. This is followed by an explanation of the theorem-proving infrastructure provided by HOL. Finally two appendices contain a subset of the reference manual, and an overview of the HOL library, including an example of an actual library documentation.
Author : Stefan Berghofer
Publisher : Springer
ISBN 13 : 3642033598
Total Pages : 517 pages
Book Rating : 4.6/5 (42 download)
Download or read book Theorem Proving in Higher Order Logics written by Stefan Berghofer and published by Springer. This book was released on 2009-08-20 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 22nd International Conference on Theorem Proving in Higher Order Logics, TPHOLs 200, held in Munich, Germany, in August 2009. The 26 revised full papers presented together with 1 proof pearl, 4 tool presentations, and 3 invited papers were carefully reviewed and selected from 55 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, formalization of mathematical theories, advances in theorem prover technology, as well as industrial application of theorem provers.
Author : Joe Hurd
Publisher : Springer Science & Business Media
ISBN 13 : 3540283722
Total Pages : 418 pages
Book Rating : 4.5/5 (42 download)
Download or read book Theorem Proving in Higher Order Logics written by Joe Hurd and published by Springer Science & Business Media. This book was released on 2005-08-08 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 18th International Conference on Theorem Proving in Higher Order Logics, TPHOLs 2005, held in Oxford, UK, in August 2005. The 20 revised full papers presented together with 2 invited papers and 4 proof pearls (concise and elegant presentations of interesting examples) were carefully reviewed and selected from 49 submissions. All current issues in HOL theorem proving and formal verification of software and hardware systems are addressed. Among the topics of this volume are theorem proving, verification, recursion and induction, mechanized proofs, mathematical logic, proof theory, type systems, program verification, and proving systems like HOL, Coq, ACL2, Isabelle/HOL and Isabelle/HOLCF.
Author : Klaus Schneider
Publisher : Springer Science & Business Media
ISBN 13 : 3540745904
Total Pages : 408 pages
Book Rating : 4.5/5 (47 download)
Download or read book Theorem Proving in Higher Order Logics written by Klaus Schneider and published by Springer Science & Business Media. This book was released on 2007-08-28 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Konrad Slind
Publisher : Springer Science & Business Media
ISBN 13 : 3540230173
Total Pages : 345 pages
Book Rating : 4.5/5 (42 download)
Download or read book Theorem Proving in Higher Order Logics written by Konrad Slind and published by Springer Science & Business Media. This book was released on 2004-09-01 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of the 17th International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2004) held September 14–17, 2004 in Park City, Utah, USA. TPHOLs covers all aspects of theorem proving in higher-order logics as well as related topics in theorem proving and veri?cation. There were 42 papers submitted to TPHOLs 2004 in the full research ca- gory, each of which was refereed by at least 3 reviewers selected by the program committee. Of these submissions, 21 were accepted for presentation at the c- ference and publication in this volume. In keeping with longstanding tradition, TPHOLs 2004 also o?ered a venue for the presentation of work in progress, where researchers invited discussion by means of a brief introductory talk and then discussed their work at a poster session. A supplementary proceedings c- taining papers about in-progress work was published as a 2004 technical report of the School of Computing at the University of Utah. The organizers are grateful to Al Davis, Thomas Hales, and Ken McMillan for agreeing to give invited talks at TPHOLs 2004. The TPHOLs conference traditionally changes continents each year in order to maximize the chances that researchers from around the world can attend.
Author : Otmane Ait Mohamed
Publisher : Springer
ISBN 13 : 3540710671
Total Pages : 321 pages
Book Rating : 4.5/5 (47 download)
Download or read book Theorem Proving in Higher Order Logics written by Otmane Ait Mohamed and published by Springer. This book was released on 2008-10-04 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : E. Thomas Schubert
Publisher : Springer Science & Business Media
ISBN 13 : 9783540602750
Total Pages : 424 pages
Book Rating : 4.6/5 (27 download)
Download or read book Higher Order Logic Theorem Proving and Its Applications written by E. Thomas Schubert and published by Springer Science & Business Media. This book was released on 1995-08-23 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 8th International Conference on Higher Order Logic Theorem Proving and Its Applications, held in Aspen Grove, Utah, USA in September 1995. The 26 papers selected by the program committee for inclusion in this volume document the advances in the field achieved since the predecessor conference. The papers presented fall into three general categories: representation of formalisms in higher order logic; applications of mechanized higher order logic; and enhancements to the HOL and other theorem proving systems.
Author : Jeffrey J. Joyce
Publisher : Springer Science & Business Media
ISBN 13 : 9783540578260
Total Pages : 538 pages
Book Rating : 4.5/5 (782 download)
Download or read book Higher Order Logic Theorem Proving and Its Applications written by Jeffrey J. Joyce and published by Springer Science & Business Media. This book was released on 1994-04-28 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the refereed proceedings of the 1993 Higher-Order Logic User's Group Workshop, held at the University of British Columbia in August 1993. The workshop was sponsored by the Centre for Integrated Computer System Research. It was the sixth in the series of annual international workshops dedicated to the topic of Higher-Order Logic theorem proving, its usage in the HOL system, and its applications. The volume contains 40 papers, including an invited paper by David Parnas, McMaster University, Canada, entitled "Some theorems we should prove".
Author : David Basin
Publisher : Springer
ISBN 13 : 3540451307
Total Pages : 377 pages
Book Rating : 4.5/5 (44 download)
Download or read book Theorem Proving in Higher Order Logics written by David Basin and published by Springer. This book was released on 2003-09-09 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of the16th International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2003) held September 8–12, 2003 in Rome, Italy. TPHOLs covers all aspects of theorem proving in higher order logics as well as related topics in theorem proving and veri?cation. TPHOLs 2003 was co-located with TABLEAUX, the International Con- rence on Automated Reasoning with Analytic Tableaux and Related Methods, and with Calculemus, the Symposium on the Integration of Symbolic Compu- tion and Mechanized Reasoning. There were 50 papers submitted to TPHOLs in the full research category, each of which was refereed by at least 3 reviewers, selected by the program c- mittee.Ofthesesubmissions,21wereacceptedforpresentationattheconference and publication in this volume. In keeping with tradition, TPHOLs 2003 also o?ered a venue for the presentation of work in progress, where researchers - vite discussion by means of a brief preliminary talk and then discuss their work at a poster session. A supplementary proceedings containing associated papers for work in progress was published by the computer science department at the Universit ̈ at Freiburg. The organizers are grateful to Jean-Raymond Abrial, Patrick Lincoln, and Dale Miller for agreeing to give invited talks at TPHOLs 2003. The TPHOLs conference traditionally changes continent each year in order to maximize the chances that researchers from around the world can attend.
Author : Elsa L. Gunter
Publisher : Springer
ISBN 13 : 9783662169339
Total Pages : 346 pages
Book Rating : 4.1/5 (693 download)
Download or read book Theorem Proving in Higher Order Logics written by Elsa L. Gunter and published by Springer. This book was released on 2014-03-12 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Tobias Nipkow
Publisher : Springer
ISBN 13 : 3540459499
Total Pages : 226 pages
Book Rating : 4.5/5 (44 download)
Download or read book Isabelle/HOL written by Tobias Nipkow and published by Springer. This book was released on 2003-07-31 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a self-contained introduction to interactive proof in high- order logic (HOL), using the proof assistant Isabelle 2002. Compared with existing Isabelle documentation, it provides a direct route into higher-order logic, which most people prefer these days. It bypasses ?rst-order logic and minimizes discussion of meta-theory. It is written for potential users rather than for our colleagues in the research world. Another departure from previous documentation is that we describe Markus Wenzel’s proof script notation instead of ML tactic scripts. The l- ter make it easier to introduce new tactics on the ?y, but hardly anybody does that. Wenzel’s dedicated syntax is elegant, replacing for example eight simpli?cation tactics with a single method, namely simp, with associated - tions. The book has three parts. – The ?rst part, Elementary Techniques, shows how to model functional programs in higher-order logic. Early examples involve lists and the natural numbers. Most proofs are two steps long, consisting of induction on a chosen variable followed by the auto tactic. But even this elementary part covers such advanced topics as nested and mutual recursion. – The second part, Logic and Sets, presents a collection of lower-level tactics that you can use to apply rules selectively. It also describes I- belle/HOL’s treatment of sets, functions, and relations and explains how to de?ne sets inductively. One of the examples concerns the theory of model checking, and another is drawn from a classic textbook on formal languages.
Author : Mark Aagaard
Publisher : Springer
ISBN 13 : 3540446591
Total Pages : 546 pages
Book Rating : 4.5/5 (44 download)
Download or read book Theorem Proving in Higher Order Logics written by Mark Aagaard and published by Springer. This book was released on 2007-07-23 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the proceedings of the 13th International Conference on Theo rem Proving in Higher Order Logics (TPHOLs 2000) held 14-18 August 2000 in Portland, Oregon, USA. Each of the 55 papers submitted in the full rese arch category was refereed by at least three reviewers who were selected by the program committee. Because of the limited space available in the program and proceedings, only 29 papers were accepted for presentation and publication in this volume. In keeping with tradition, TPHOLs 2000 also offered a venue for the presen tation of work in progress, where researchers invite discussion by means of a brief preliminary talk and then discuss their work at a poster session. A supplemen tary proceedings containing associated papers for work in progress was published by the Oregon Graduate Institute (OGI) as technical report CSE-00-009. The organizers are grateful to Bob Colwell, Robin Milner and Larry Wos for agreeing to give invited talks. Bob Colwell was the lead architect on the Intel P6 microarchitecture, which introduced a number of innovative techniques and achieved enormous commercial success. As such, he is ideally placed to offer an industrial perspective on the challenges for formal verification. Robin Milner contributed many key ideas to computer theorem proving, and to functional programming, through his leadership of the influential Edinburgh LCF project.
Author : Jim Grundy
Publisher : Springer Science & Business Media
ISBN 13 : 9783540649878
Total Pages : 516 pages
Book Rating : 4.6/5 (498 download)
Download or read book Theorem Proving in Higher Order Logics written by Jim Grundy and published by Springer Science & Business Media. This book was released on 1998-09-09 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th International Conference on Theorem Proving in Higher Order Logics, TPHOLs '98, held in Canberra, Australia, in September/October 1998. The 26 revised full papers presented were carefully reviewed and selected from a total of 52 submissions. Also included are two invited papers. The papers address all current aspects of theorem proving in higher order logics and formal verification and program analysis. Besides the HOL system, the theorem provers Coq, Isabelle, LAMBDA, LEGO, NuPrl, and PVS are discussed.
