A Case Study Of Co Induction In Isabelle Hol

Author : Jacob Frost
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.64/5 ( download)

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Download or read book A Case Study of Co-induction in Isabelle HOL written by Jacob Frost and published by . This book was released on 1993 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "The consistency of the dynamic and static semantics for a small functional programming language was informally proved by R. Milner and M. Tofte. The notions of co-inductive definitions and the associated principle of co-induction played a pivotal role in the proof. With emphasis on co-induction, the work presented here deals with the formalisation of this result in the higher-order logic of the generic theorem prover Isabelle."

Author : Jacob Frost
Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.26/5 ( download)

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Download or read book A Case Study of Co-induction in Isabelle written by Jacob Frost and published by . This book was released on 1995 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Tobias Nipkow
Publisher : Springer Science & Business Media
ISBN 13 : 3540433767
Total Pages : 220 pages
Book Rating : 4.67/5 ( download)

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Download or read book Isabelle/HOL written by Tobias Nipkow and published by Springer Science & Business Media. This book was released on 2002-04-03 with total page 220 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 : Lawrence C. Paulson
Publisher : Springer Science & Business Media
ISBN 13 : 9783540582441
Total Pages : 348 pages
Book Rating : 4.44/5 ( download)

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Download or read book Isabelle written by Lawrence C. Paulson and published by Springer Science & Business Media. This book was released on 1994-07-28 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the First International Static Analysis Symposium (SAS '94), held in Namur, Belgium in September 1994. The proceedings comprise 25 full refereed papers selected from 70 submissions as well as four invited contributions by Charles Consel, Saumya K. Debray, Thomas W. Getzinger, and Nicolas Halbwachs. The papers address static analysis aspects for various programming paradigms and cover the following topics: generic algorithms for fixpoint computations; program optimization, transformation and verification; strictness-related analyses; type-based analyses and type inference; dependency analyses and abstract domain construction.

Author : Robin Milner
Publisher : MIT Press
ISBN 13 : 9780262161886
Total Pages : 748 pages
Book Rating : 4.85/5 ( download)

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Download or read book Proof, Language, and Interaction written by Robin Milner and published by MIT Press. This book was released on 2000 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of essays reflects the breadth of research in computer science. Following a biography of Robin Milner it contains sections on semantic foundations; programming logic; programming languages; concurrency; and mobility.

Author : Andrew D. Gordon
Publisher : Springer Science & Business Media
ISBN 13 : 3540008977
Total Pages : 452 pages
Book Rating : 4.72/5 ( download)

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Download or read book Foundations of Software Science and Computational Structures written by Andrew D. Gordon and published by Springer Science & Business Media. This book was released on 2003-03-14 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th International Conference on Foundations of Software Science and Computation Structures, FOSSACS 2003, held in Warsaw, Poland in April 2003. The 26 revised full papers presented together with an invited paper were carefully reviewed and selected from 96 submissions. Among the topics covered are algebraic models; automata and language theory; behavioral equivalences; categorical models; computation processes over discrete and continuous data; computation structures; logics of programs; models of concurrent, reactive, distributed, and mobile systems; process algebras and calculi; semantics of programming languages; software specification and refinement; transition systems; and type systems and type theory.

Author : Robert Veroff
Publisher : MIT Press
ISBN 13 : 9780262220552
Total Pages : 276 pages
Book Rating : 4.55/5 ( download)

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Download or read book Automated Reasoning and Its Applications written by Robert Veroff and published by MIT Press. This book was released on 1997 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributors are among the world's leading researchers inautomated reasoning. Their essays cover the theory, software system design, and use of these systems to solve real problems. The primary objective of automated reasoning (which includes automated deduction and automated theorem proving) is to develop computer programs that use logical reasoning for the solution of a wide variety of problems, including open questions. The essays in Automated Reasoning and Its Applications were written in honor of Larry Wos, one of the founders of the field. Wos played a central role in forming the culture of automated reasoning at Argonne National Laboratory. He and his colleagues consistently seek to build systems that search huge spaces for solutions to difficult problems and proofs of significant theorems. They have had numerous notable successes. The contributors are among the world's leading researchers in automated reasoning. Their essays cover the theory, software system design, and use of these systems to solve real problems. Contributors Robert S. Boyer, Shang-Ching Chou, Xiao-Shan Gao, Lawrence Henschen, Deepak Kapur, Kenneth Kunen, Ewing Lusk, William McCune, J Strother Moore, Ross Overbeek, Lawrence C. Paulson, Hantao Zhang, Jing-Zhong Zhang

Author : Lawrence C. Paulson
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.32/5 ( download)

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Download or read book Co-induction and Co-recursion in Higher-order Logic written by Lawrence C. Paulson and published by . This book was released on 1993 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."

Author : Mark Aagaard
Publisher : Springer
ISBN 13 : 3540446591
Total Pages : 546 pages
Book Rating : 4.90/5 ( download)

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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 : Victor A. Carreno
Publisher : Springer
ISBN 13 : 3540456856
Total Pages : 358 pages
Book Rating : 4.58/5 ( download)

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Download or read book Theorem Proving in Higher Order Logics written by Victor A. Carreno and published by Springer. This book was released on 2003-08-02 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th International Conference on Theorem Proving in Higher Order Logics, TPHOLs 2002, held in Hampton, VA, USA in August 2002. The 20 revised full papers presented together with 2 invited contributions were carefully reviewed and selected from 34 submissions. All current issues in HOL theorem proving and formal verification of software and hardware systems are addressed. Among the HOL theorem proving systems evaluated are Isabelle/HOL, Isabelle/Isar, and Coq.