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Towards A Proof Theory Of Rewriting
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Book Synopsis Towards a Proof Theory of Rewriting by : Barnaby P. Hilken
Download or read book Towards a Proof Theory of Rewriting written by Barnaby P. Hilken and published by . This book was released on 1994 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "This paper describes the simply-typed 2-[lambda]- calculus, a language with three levels: types, terms and rewrites. The types and terms are those of the simply-typed [lambda]-calculus, and the rewrites are expressions denoting sequences of [beta]-reductions and [eta]- expansions. An equational theory is imposed on the rewrites, based on 2- categorical justifications, and the word problem for this theory is solved by finding a canonical expression in each equivalence class. The canonical form of rewrites allows us to prove several properties of the calculus, including a strong form of confluence and a classification of the long-[beta]-[eta]-normal forms in terms of their rewrites. Finally we use these properties as the basic definitions of a theory of categorical rewriting, and find that the expected relationships between confluence, strong normalisation and normal forms hold."
Book Synopsis Rewriting Techniques and Applications by : Sophie Tison
Download or read book Rewriting Techniques and Applications written by Sophie Tison and published by Springer Science & Business Media. This book was released on 2002-07-10 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th International Conference on Rewriting Techniques and Applications, RTA 2002, held in Copenhagen, Denmark, in July 2002. The 20 regular papers, two application papers, and four system descriptions presented together with three invited contributions were carefully reviewed and selected from 49 submissions. All current aspects of rewriting are addressed.
Book Synopsis Rewriting Techniques and Applications by : Vincent van Oostrom
Download or read book Rewriting Techniques and Applications written by Vincent van Oostrom and published by Springer Science & Business Media. This book was released on 2004-05-24 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th International Conference on Rewriting Techniques and Applications, RTA 2004, held in Aachen, Germany in June 2004.
Download or read book Term Rewriting Systems written by Terese and published by Cambridge University Press. This book was released on 2003-03-20 with total page 926 pages. Available in PDF, EPUB and Kindle. Book excerpt: Term rewriting systems developed out of mathematical logic and are an important part of theoretical computer science. They consist of sequences of discrete transformation steps where one term is replaced with another and have applications in many areas, from functional programming to automatic theorem proving and computer algebra. This 2003 book starts at an elementary level with the earlier chapters providing a foundation for the rest of the work. Much of the advanced material appeared here for the first time in book form. Subjects treated include orthogonality, termination, completion, lambda calculus, higher-order rewriting, infinitary rewriting and term graph rewriting. Many exercises are included with selected solutions provided on the web. A comprehensive bibliography makes this book ideal both for teaching and research. A chapter is included presenting applications of term rewriting systems, with many pointers to actual implementations.
Book Synopsis Algorithms and Classification in Combinatorial Group Theory by : Gilbert Baumslag
Download or read book Algorithms and Classification in Combinatorial Group Theory written by Gilbert Baumslag and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume are the result of a workshop held in January 1989 at the Mathematical Sciences Research Institute. Topics covered include decision problems, finitely presented simple groups, combinatorial geometry and homology, and automatic groups and related topics.
Book Synopsis Rewriting, Computation and Proof by : Hubert Comon-Lundh
Download or read book Rewriting, Computation and Proof written by Hubert Comon-Lundh and published by Springer Science & Business Media. This book was released on 2007-06-22 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jean-Pierre Jouannaud has played a leading role in the field of rewriting and its technology. This Festschrift volume, published to honor him on his 60th Birthday, includes 13 refereed papers by leading researchers, current and former colleagues. The papers are grouped in thematic sections on Rewriting Foundations, Proof and Computation, and a final section entitled Towards Safety and Security.
Book Synopsis Conditional and Typed Rewriting Systems by : Stephane Kaplan
Download or read book Conditional and Typed Rewriting Systems written by Stephane Kaplan and published by Springer Science & Business Media. This book was released on 1991-08-07 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, extensions of rewriting techniques that go beyond the traditional untyped algebraic rewriting framework have been investigated and developed. Among these extensions, conditional and typed systems are particularly important, as are higher-order systems, graph rewriting systems, etc. The international CTRS (Conditional and Typed Rewriting Systems) workshops are intended to offer a forum for researchers on such extensions of rewriting techniques. This volume presents the proceedings of the second CTRS workshop, which contributed to discussion and evaluation of new directions of research. (The proceedings of the first CTRS workshop are in Lecture Notes in Computer Science, Vol. 308.) Several important directions for extensions of rewriting techniques were stressed, which are reflected in the organization of the chapters in this volume: - Theory of conditional and Horn clause systems, - Infinite terms, non-terminating systems, and termination, - Extension of Knuth-Bendix completion, - Combined systems, combined languages and modularity, - Architecture, compilers and parallel computation, - Basic frameworks for typed and order-sorted systems, - Extension of unification and narrowing techniques.
Book Synopsis Rewriting Techniques by : Hassan Aït-Kaci
Download or read book Rewriting Techniques written by Hassan Aït-Kaci and published by Academic Press. This book was released on 2014-05-10 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Resolution of Equations in Algebraic Structures: Volume 2, Rewriting Techniques is a collection of papers dealing with the construction of canonical rewrite systems, constraint handling in logic programming, and completion algorithms for conditional rewriting systems. Papers discuss the Knuth-Bendix completion method which constructs a complete system for a given set of equations, including extensions of the method dealing with termination, unfailing completion, and associative-communicative completion. One paper examines the various practical techniques that can be used to extend Prolog as a constraint solver, particularly on techniques that solve boolean equations, imposing inequality, disequality, and finitary domain constraints on variables. Another paper presents a sufficient condition for confluence of conditional rewriting, and a practical unification algorithm modulo conditional rewriting through the notion of conditional narrowing. One paper analyzes the possibility of using completion for inductive proofs in the initial algebra of an equational variety without explicit induction. Another papers discusses solving systems of word equations in the free monoid and the free group, where a solution is defined as a word homomorphism. Programmers, mathematicians, students, and instructors involved in computer science and computer logic will find this collection valuable.
Book Synopsis Rewriting Techniques and Applications by : Harald Ganzinger
Download or read book Rewriting Techniques and Applications written by Harald Ganzinger and published by Springer Science & Business Media. This book was released on 1996-07 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Rewriting Techniques and Applications, RTA-96, held in New Brunswick, NJ, USA, in July 1996. The 27 revised full papers presented in this volume were selected from a total of 84 submissions, also included are six system descriptions and abstracts of three invited papers. The topics covered include analysis of term rewriting systems, string and graph rewriting, rewrite-based theorem proving, conditional term rewriting, higher-order rewriting, unification, symbolic and algebraic computation, and efficient implementation of rewriting on sequential and parallel machines.
Book Synopsis Rewriting Techniques and Applications by : Nachum Dershowitz
Download or read book Rewriting Techniques and Applications written by Nachum Dershowitz and published by Springer Science & Business Media. This book was released on 1989 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rewriting has always played an important role in symbolic manipulation and automated deduction systems. The theory of rewriting is an outgrowth of Combinatory Logic and the Lambda Calculus. Applications cover broad areas in automated reasoning, programming language design, semantics, and implementations, and symbolic and algebraic manipulation. The proceedings of the third International Conference on Rewriting Techniques and Applications contain 34 regular papers, covering many diverse aspects of rewriting (including equational logic, decidability questions, term rewriting, congruence-class rewriting, string rewriting, conditional rewriting, graph rewriting, functional and logic programming languages, lazy and parallel implementations, termination issues, compilation techniques, completion procedures, unification and matching algorithms, deductive and inductive theorem proving, Gröbner bases, and program synthesis). It also contains 12 descriptions of implemented equational reasoning systems. Anyone interested in the latest advances in this fast growing area should read this volume.
Book Synopsis Rewriting Techniques and Applications by : Ralf Treinen
Download or read book Rewriting Techniques and Applications written by Ralf Treinen and published by Springer. This book was released on 2009-06-19 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 20th International Conference on Rewriting Techniques and Applications, RTA 2009, held in Brasília, Brazil, during June 29 - July 1, 2009. The 22 revised full papers and four system descriptions presented were carefully reviewed and selected from 59 initial submissions. The papers cover current research on all aspects of rewriting including typical areas of interest such as applications, foundational issues, frameworks, implementations, and semantics.
Book Synopsis Rewriting Techniques and Applications by : Leo Bachmair
Download or read book Rewriting Techniques and Applications written by Leo Bachmair and published by Springer. This book was released on 2006-12-30 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th International Conference on Rewriting Techniques and Applications, RTA 2000, held in Norwich, UK, in July 2000. The 15 revised full papers and three system descriptions presented together with two invited contributions were carefully reviewed and selected from 44 submissions. All current aspects of rewriting are addressed.
Book Synopsis Theorem Proving in Higher Order Logics by : Klaus Schneider
Download or read book Theorem Proving in Higher Order Logics written by Klaus Schneider and published by Springer. This book was released on 2007-08-23 with total page 404 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.
Book Synopsis Automated Reasoning with Analytic Tableaux and Related Methods by : Revantha Ramanayake
Download or read book Automated Reasoning with Analytic Tableaux and Related Methods written by Revantha Ramanayake and published by Springer Nature. This book was released on 2023-10-15 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book constitutes the proceedings of the proceedings of the 32nd International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2023, held in Prague, Czech Republic, during September 18-21, 2023. The 20 full papers and 5 short papers included in this book together with 5 abstracts of invited talks were carefully reviewed and selected from 43 submissions. They present research on all aspects of the mechanization of reasoning with tableaux and related methods. The papers are organized in the following topical sections: tableau calculi; sequent calculi; theorem proving; non-wellfounded proofs; modal logics; linear logic and MV-algebras; separation logic; and first-order logics.
Book Synopsis Term Rewriting and Applications by : Jürgen Giesl
Download or read book Term Rewriting and Applications written by Jürgen Giesl and published by Springer Science & Business Media. This book was released on 2005-04-07 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 16th International Conference on Rewriting Techniques and Applications, RTA 2005, held in Nara, Japan in April 2005. The 29 revised full papers and 2 systems description papers presented together with 5 invited articles were carefully reviewed and selected from 79 submissions. All current issues in Rewriting are addressed, ranging from foundational and methodological issues to applications in various contexts; due to the fact that the first RTA conference was held 20 years ago, the conference offered 3 invited historical papers 2 of which are included in this proceedings.
Book Synopsis Higher-Order Algebra, Logic, and Term Rewriting by : Gilles Dowek
Download or read book Higher-Order Algebra, Logic, and Term Rewriting written by Gilles Dowek and published by Springer Science & Business Media. This book was released on 1996-05-08 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of revised refereed papers selected from the presentations accepted for the Second International Workshop on Higher-Order Algebra, Logic, and Term Rewriting, HOA '95, held in Paderborn, Germany, in September 1995. The 14 research papers included, together with an invited paper by Jan Willem Klop, report state-of-the-art results; the relevant theoretical aspects are addressed, and in addition existing proof systems and term rewriting systems are discussed.
Book Synopsis Formal Methods in Circuit Design by : Victoria Stavridou
Download or read book Formal Methods in Circuit Design written by Victoria Stavridou and published by Cambridge University Press. This book was released on 1993-07-22 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate level account of hardware verification and algebraic specification.
