Term Rewriting and All That PDF Download

Author: Franz Baader
Publisher: Cambridge University Press
ISBN: 1316101797
Category : Computers
Languages : en
Pages : 318

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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: Terese
Publisher: Cambridge University Press
ISBN: 9780521391153
Category : Computers
Languages : en
Pages : 926

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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: Enno Ohlebusch
Publisher: Springer Science & Business Media
ISBN: 1475736614
Category : Computers
Languages : en
Pages : 420

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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: Manuel Clavel
Publisher: Springer
ISBN: 3540719997
Category : Computers
Languages : en
Pages : 799

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Book Description
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.

Author: Luis Miguel Silveira
Publisher: Springer
ISBN: 9781475710144
Category : Technology & Engineering
Languages : en
Pages : 678

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Book Description
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.

Author: Carsten Lutz
Publisher: Springer
ISBN: 3030221024
Category : Mathematics
Languages : en
Pages : 662

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Book Description
This Festschrift has been put together on the occasion of Franz Baader's 60th birthday to celebrate his fundamental and highly influential scientific contributions. The 30 papers in this volume cover several scientific areas that Franz Baader has been working on during the last three decades, including description logics, term rewriting, and the combination of decision procedures. We hope that readers will enjoy the articles gathered in Franz's honour and appreciate the breadth and depth of his favourite areas of computer science.

Author: M. R. Sleep
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 408

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Book Description
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.

Author: Mark V. Sapir
Publisher: Springer
ISBN: 3319080318
Category : Mathematics
Languages : en
Pages : 369

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Book Description
Combinatorial Algebra: Syntax and Semantics provides comprehensive account of many areas of combinatorial algebra. It contains self-contained proofs of more than 20 fundamental results, both classical and modern. This includes Golod–Shafarevich and Olshanskii's solutions of Burnside problems, Shirshov's solution of Kurosh's problem for PI rings, Belov's solution of Specht's problem for varieties of rings, Grigorchuk's solution of Milnor's problem, Bass–Guivarc'h theorem about growth of nilpotent groups, Kleiman's solution of Hanna Neumann's problem for varieties of groups, Adian's solution of von Neumann-Day's problem, Trahtman's solution of the road coloring problem of Adler, Goodwyn and Weiss. The book emphasize several ``universal" tools, such as trees, subshifts, uniformly recurrent words, diagrams and automata. With over 350 exercises at various levels of difficulty and with hints for the more difficult problems, this book can be used as a textbook, and aims to reach a wide and diversified audience. No prerequisites beyond standard courses in linear and abstract algebra are required. The broad appeal of this textbook extends to a variety of student levels: from advanced high-schoolers to undergraduates and graduate students, including those in search of a Ph.D. thesis who will benefit from the “Further reading and open problems” sections at the end of Chapters 2 –5. The book can also be used for self-study, engaging those beyond t he classroom setting: researchers, instructors, students, virtually anyone who wishes to learn and better understand this important area of mathematics.

Author: Mernik, Marjan
Publisher: IGI Global
ISBN: 1466620935
Category : Computers
Languages : en
Pages : 678

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Book Description
"This book presents current research on all aspects of domain-specific language for scholars and practitioners in the software engineering fields, providing new results and answers to open problems in DSL research"--

Author: Jürgen Giesl
Publisher: Springer Science & Business Media
ISBN: 3540255966
Category : Computers
Languages : en
Pages : 528

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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.