Download or read book Modular Properties of Conditional Term Rewriting Systems written by A. Middeldorp and published by . This book was released on 1991 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "A property of term rewriting systems is called modular if it is preserved under disjoint union. For unconditional term rewriting systems several modularity results are known. The aim of this paper is to analyze and extend these results to conditional term rewriting systems. It turns out that conditional term rewriting is much more complicated than unconditional rewriting from a modularity point of view. For instance, we will show that the modularity of weak normalization for unconditional term rewriting systems does not extend to conditional term rewriting systems. On the positive side, we mention the extension of Toyama's confluence result for disjoint unions of term rewriting systems to conditional term rewriting systems."
Download or read book Conditional Term Rewriting Systems written by Michael Rusinowitch and published by Springer Science & Business Media. This book was released on 1993-01-29 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers preesented at the Third International Workshop on Conditional Term Rewriting Systems, held in Pont- -Mousson, France, July 8-10, 1992. Topics covered include conditional rewriting and its applications to programming languages, specification languages, automated deduction, constrained rewriting, typed rewriting, higher-order rewriting, and graph rewriting. The volume contains 40 papers, including four invited talks: Algebraic semantics of rewriting terms and types, by K. Meinke; Generic induction proofs, by P. Padawitz; Conditional term rewriting and first-order theorem proving, by D. Plaisted; and Decidability of finiteness properties (abstract), by L. Pacholski. The first CTRS workshop was held at the University of Paris in 1987 and the second at Concordia University, Montreal, in 1990. Their proceddings are published as Lecture Notes in Computer Science Volumes 308 and 516 respectively.
Download or read book Advanced Topics in Term Rewriting written by Enno Ohlebusch and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike current survey articles and textbooks, here the so-called confluence and termination hierarchies play a key role. Throughout, the relationships between the properties in the hierarchies are reviewed, and it is shown that for every implication X => Y in the hierarchies, the property X is undecidable for all term rewriting systems satisfying Y. Topics covered include: the newest techniques for proving termination of rewrite systems; a comprehensive chapter on conditional term rewriting systems; a state-of-the-art survey of modularity in term rewriting, and a uniform framework for term and graph rewriting, as well as the first result on conditional graph rewriting.
Download or read book Conditional and Typed Rewriting Systems written by Nachum Dershowitz and published by Springer Science & Business Media. This book was released on 1995-09-22 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents throroughly revised full versions of the 21 papers accepted for the Fourth International Workshop on Conditional and Typed Rewriting Systems, CTRS-94, held in conjunction with ICALP '94 in Jerusalem, Israel, in July 1994. The volume reports the research advances in the area of rewriting in general achieved since the predecessor workshop held in July 1992. Among the topics addressed are conditional term rewriting, typed systems, higher-order rewriting, graph rewriting, combinator-based languages, and constrained rewriting.
Download or read book Unique Normal Forms for Disjoint Unions of Conditional Term Rewriting Systems written by Aart Middeldorp and published by . This book was released on 1990 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "In [14] we have shown that every term rewriting system with the unique normal form property can be conservatively extended to a confluent term rewriting system with the same set of normal forms. This paper gives a simplified construction, which moreover yields a positive answer to a conjecture in [14] stating that the normal form property is a modular property of left-linear term rewriting systems. We further show that the main result of [14] -- the modularity of unique normal forms -- can be generalized to semi-equational conditional term rewriting systems; however, for join and normal conditional term rewriting systems the method of [14] fails."
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.
Download or read book Confluence of the Disjoint Union of Conditional Term Rewriting Systems written by Aart Middeldorp and published by . This book was released on 1989 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Toyama proved that confluence is a modular property of term rewriting systems. This means that the disjoint union of two confluent term rewriting systems is again confluent. In this paper we extend his result to the class of conditional term rewriting systems. In view of the important role of conditional rewriting in equational logic programming, this result may be of relevance in integrating functional programming and logic programming."
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.
Download or read book Conditional Term Rewriting Systems written by Michael Rusinowitch and published by . This book was released on 2014-01-15 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Term Rewriting and All That written by Franz Baader and published by Cambridge University Press. This book was released on 1999-08-05 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a unified and self-contained introduction to the field of term rewriting. It covers all the basic material (abstract reduction systems, termination, confluence, completion, and combination problems), but also some important and closely connected subjects: universal algebra, unification theory, Gröbner bases and Buchberger's algorithm. The main algorithms are presented both informally and as programs in the functional language Standard ML (an appendix contains a quick and easy introduction to ML). Certain crucial algorithms like unification and congruence closure are covered in more depth and Pascal programs are developed. The book contains many examples and over 170 exercises. This text is also an ideal reference book for professional researchers: results that have been spread over many conference and journal articles are collected together in a unified notation, proofs of almost all theorems are provided, and each chapter closes with a guide to the literature.
Download or read book Algebraic and Logic Programming written by Michael Hanus and published by Springer Science & Business Media. This book was released on 1996-09-30 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Fifth International Conference on Algebraic and Logic Programming, ALP '96, held in Aachen, Germany, in September 1996 in conjunction with PLILP and SAS. The volume presents 21 revised full papers selected from 54 submissions; also included is an invited contribution by Claude Kirchner and Ilies Alouini entitled "Toward the Concurrent Implementation of Computational Systems". The volume is divided into topical sections on logic programming, term rewriting, integration of paradigms, abstract interpretation, Lambda-calculus and rewriting, and types.
Download or read book Rewriting Techniques and Applications written by Claude Kirchner and published by Springer. This book was released on 2015-03-19 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of RTA-93, the fifth International Conference on Rewriting Techniques and Applications, held in Montreal, Canada, in June 1993. The volume includes three invited lectures, "Rewrite techniques in theorem proving" (L. Bachmair), "Proving properties of typed lambda terms: realizability, covers, and sheaves" (J. Gallier), and "On some algorithmic problems for groups and monoids" (S.J. Adian), together with 29 selected papers, 6 system descriptions, and a list of open problems in the field. The papers covermany topics: term rewriting; termination; graph rewriting; constraint solving; semantic unification, disunification and combination; higher-order logics; and theorem proving, with several papers on distributed theorem proving, theorem proving with constraints and completion.
Download or read book Algebraic and Logic Programming written by and published by . This book was released on 1992 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book CAAP 92 written by Jean-Claude Raoult and published by Springer Science & Business Media. This book was released on 1992-02-19 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected papers presented at the seventeenth Colloquiumon Trees in Algebra and Programming (CAAP) held jointly with the European Symposium on Programming (ESOP) in Rennes, France, February 26-28, 1992 (the proceedings of ESOP appear in LNCS 582). The previous colloquia were held in France, Italy, Germany, Spain, Denmark and England. Every even year, as in 1992, CAAP is held jointly with ESOP; every other year, it is part of TAPSOFT (Theory And Practice of SOFTware development). In the beginning, CAAP was devoted to algebraic and combinatorial properties of trees and their role in various fields of computer science. The scope of CAAP has now been extended to other discrete structures, like graphs, equations and transformations of graphs, and their links with logical theories. The programme committee received 40 submissions, from which 19 papers have been selected for inclusion inthis volume.
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.
Download or read book Functional and Logic Programming written by and published by . This book was released on 1999 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:
