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Author: Enno Ohlebusch Publisher: Springer Science & Business Media ISBN: 1475736614 Category : Computers Languages : en Pages : 420
Book Description
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.
Author: Enno Ohlebusch Publisher: Springer Science & Business Media ISBN: 1475736614 Category : Computers Languages : en Pages : 420
Book Description
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.
Author: Terese Publisher: Cambridge University Press ISBN: 9780521391153 Category : Computers Languages : en Pages : 926
Book Description
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.
Author: Kazumi Nakamatsu Publisher: IOS Press ISBN: 1586035681 Category : Computers Languages : en Pages : 304
Book Description
LAPTEC' 2005 promoted the discussion and interaction between researchers and practitioners focused on both theoretical and practical disciplines concerning logics applied to technology, with diverse backgrounds including all kinds of intelligent systems having classical or non-classical logics as underlying common matters.
Author: Michael Rusinowitch Publisher: Springer Science & Business Media ISBN: 9783540563938 Category : Computers Languages : en Pages : 520
Book Description
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.
Author: Jürgen Giesl Publisher: Springer Science & Business Media ISBN: 3540255966 Category : Computers Languages : en Pages : 528
Book Description
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.
Author: Frank Pfenning Publisher: Springer Science & Business Media ISBN: 3540368345 Category : Computers Languages : en Pages : 426
Book Description
This book constitutes the refereed proceedings of the 17th International Conference on Rewriting Techniques and Applications, RTA 2006, held in Seattle, WA, USA in August 2006. The book presents 23 revised full papers and 4 systems description papers together with 2 invited talks and a plenary talk of the hosting FLoC conference. Topics include equational reasoning, system verification, lambda calculus, theorem proving, system descriptions, termination, higher-order rewriting and unification, and more.
Author: Franz Baader Publisher: Cambridge University Press ISBN: 1316101797 Category : Computers Languages : en Pages : 318
Book Description
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.
Author: Ralf Treinen Publisher: Springer ISBN: 3642023487 Category : Mathematics Languages : en Pages : 401
Book Description
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.
Author: Enno Ohlebusch
Author: Enno Ohlebusch
Author: Terese
Author: Kazumi Nakamatsu
Author: Michael Rusinowitch
Author: Jürgen Giesl
Author: Frank Pfenning
Author: Franz Baader
Author: Michael Rusinowitch
Author: Ralf Treinen
Author: J. L. Rémy