Term Rewriting Systems

Term Rewriting Systems
Author: Terese
Publisher: Cambridge University Press
Total Pages: 926
Release: 2003-03-20
Genre: Computers
ISBN: 9780521391153

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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.

Advanced Topics in Term Rewriting

Advanced Topics in Term Rewriting
Author: Enno Ohlebusch
Publisher: Springer Science & Business Media
Total Pages: 420
Release: 2013-04-17
Genre: Computers
ISBN: 1475736614

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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.

Term Rewriting and All That

Term Rewriting and All That
Author: Franz Baader
Publisher: Cambridge University Press
Total Pages: 318
Release: 1998
Genre: Computers
ISBN: 9780521779203

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Unified and self-contained introduction to term-rewriting; suited for students or professionals.

String-Rewriting Systems

String-Rewriting Systems
Author: Ronald V. Book
Publisher: Springer Science & Business Media
Total Pages: 198
Release: 2012-12-06
Genre: Computers
ISBN: 1461397715

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The subject of this book is string-rewriting systems. It is generally accepted that string-rewriting was first introduced by Axel Thue in the early part of this century. In the 1960's and early 1970's, it received renewed attention due to interest in formal language theory. In the 1980's and 1990's, it has received more interest since it can be viewed as a special case of term rewriting, a subject that has become important in the study of automated deduction. Today, string-rewriting is studied by researchers in theoretical computer science and also by researchers interested in the foundations of artificial intelligence. A sketch of the way that the subject has developed is contained in Chapter 0, and the reader is advised to begin with that chapter. Both authors have been active in the field and have lectured on the subject in several universities. Lecture notes have been produced and dis tributed. This monograph is a result of revising and rewriting those notes. It represents an attempt by the authors to present the concepts that the authors consider to be most fundamental and to gather together the most useful results in such a way that they can be understood and used in studies relating to more general rewriting, to automated deduction, and to algo rithmic problems of algebraic structures. This monograph is written for independent study by researchers in the oretical computer science or in the foundations of artificial intelligence.

Term Graph Rewriting

Term Graph Rewriting
Author: M. R. Sleep
Publisher:
Total Pages: 408
Release: 1993-06-08
Genre: Computers
ISBN:

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A comprehensive study and exposition on the benefits of graph and term rewriting. Contains such theoretical advances as a single pushout categorical model of graph rewriting, a new theory of transfinite term rewriting and an abstract interpretation for term graph rewriting. Includes a discussion of parallelism.

Term Rewriting and Applications

Term Rewriting and Applications
Author: Jürgen Giesl
Publisher: Springer Science & Business Media
Total Pages: 528
Release: 2005-04-07
Genre: Computers
ISBN: 3540255966

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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.

VLSI: Systems on a Chip

VLSI: Systems on a Chip
Author: Luis Miguel Silveira
Publisher: Springer
Total Pages: 678
Release: 2013-03-11
Genre: Technology & Engineering
ISBN: 9781475710144

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For over three decades now, silicon capacity has steadily been doubling every year and a half with equally staggering improvements continuously being observed in operating speeds. This increase in capacity has allowed for more complex systems to be built on a single silicon chip. Coupled with this functionality increase, speed improvements have fueled tremendous advancements in computing and have enabled new multi-media applications. Such trends, aimed at integrating higher levels of circuit functionality are tightly related to an emphasis on compactness in consumer electronic products and a widespread growth and interest in wireless communications and products. These trends are expected to persist for some time as technology and design methodologies continue to evolve and the era of Systems on a Chip has definitely come of age. While technology improvements and spiraling silicon capacity allow designers to pack more functions onto a single piece of silicon, they also highlight a pressing challenge for system designers to keep up with such amazing complexity. To handle higher operating speeds and the constraints of portability and connectivity, new circuit techniques have appeared. Intensive research and progress in EDA tools, design methodologies and techniques is required to empower designers with the ability to make efficient use of the potential offered by this increasing silicon capacity and complexity and to enable them to design, test, verify and build such systems.

Conditional Term Rewriting Systems

Conditional Term Rewriting Systems
Author: Michael Rusinowitch
Publisher:
Total Pages: 520
Release: 2014-01-15
Genre:
ISBN: 9783662204795

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All About Maude - A High-Performance Logical Framework

All About Maude - A High-Performance Logical Framework
Author: Manuel Clavel
Publisher: Springer
Total Pages: 799
Release: 2007-07-19
Genre: Computers
ISBN: 3540719997

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Maude is a language and system based on rewriting logic. In this comprehensive account, you’ll discover how Maude and its formal tool environment can be used in three mutually reinforcing ways: as a declarative programming language, as an executable formal specification language, and as a formal verification system. Examples used throughout the book illustrate key concepts, features, and the many practical uses of Maude.

Conditional Term Rewriting Systems

Conditional Term Rewriting Systems
Author: Michael Rusinowitch
Publisher: Springer Science & Business Media
Total Pages: 520
Release: 1993-01-29
Genre: Computers
ISBN: 9783540563938

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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.