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Term Rewriting Systems
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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 Advanced Topics in Term Rewriting by : Enno Ohlebusch
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.
Book Synopsis Term Rewriting and All That by : Franz Baader
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 444 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.
Book Synopsis String-Rewriting Systems by : Ronald V. Book
Download or read book String-Rewriting Systems written by Ronald V. Book and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 Term Graph Rewriting by : M. R. Sleep
Download or read book Term Graph Rewriting written by M. R. Sleep and published by . This book was released on 1993-06-08 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis 10th International Conference on Automated Deduction by : Mark E. Stickel
Download or read book 10th International Conference on Automated Deduction written by Mark E. Stickel and published by Springer Science & Business Media. This book was released on 1990-07-17 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at the 10th International Conference on Automated Deduction (CADE-10). CADE is the major forum at which research on all aspects of automated deduction is presented. Although automated deduction research is also presented at more general artificial intelligence conferences, the CADE conferences have no peer in the concentration and quality of their contributions to this topic. The papers included range from theory to implementation and experimentation, from propositional to higher-order calculi and nonclassical logics; they refine and use a wealth of methods including resolution, paramodulation, rewriting, completion, unification and induction; and they work with a variety of applications including program verification, logic programming, deductive databases, and theorem proving in many domains. The volume also contains abstracts of 20 implementations of automated deduction systems. The authors of about half the papers are from the United States, many are from Western Europe, and many too are from the rest of the world. The proceedings of the 5th, 6th, 7th, 8th and 9th CADE conferences are published as Volumes 87, 138, 170, 230, 310 in the series Lecture Notes in Computer Science.
Book Synopsis KI 2019: Advances in Artificial Intelligence by : Christoph Benzmüller
Download or read book KI 2019: Advances in Artificial Intelligence written by Christoph Benzmüller and published by Springer Nature. This book was released on 2019-09-09 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 42nd German Conference on Artificial Intelligence, KI 2019, held in Kassel, Germany, in September 2019. The 16 full and 10 short papers presented together with 3 extended abstracts in this volume were carefully reviewed and selected from 82 submissions. KI 2019 has a special focus theme on "AI methods for Argumentation" and especially invited contributions that use methods from all areas of AI to understand, formalize or generate argument structures in natural language.
Book Synopsis Feedback Systems by : Karl Johan Åström
Download or read book Feedback Systems written by Karl Johan Åström and published by Princeton University Press. This book was released on 2021-02-02 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory
Book Synopsis Computability and Complexity Theory by : Steven Homer
Download or read book Computability and Complexity Theory written by Steven Homer and published by Springer Science & Business Media. This book was released on 2011-12-09 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and extensively expanded edition of Computability and Complexity Theory comprises essential materials that are core knowledge in the theory of computation. The book is self-contained, with a preliminary chapter describing key mathematical concepts and notations. Subsequent chapters move from the qualitative aspects of classical computability theory to the quantitative aspects of complexity theory. Dedicated chapters on undecidability, NP-completeness, and relative computability focus on the limitations of computability and the distinctions between feasible and intractable. Substantial new content in this edition includes: a chapter on nonuniformity studying Boolean circuits, advice classes and the important result of Karp─Lipton. a chapter studying properties of the fundamental probabilistic complexity classes a study of the alternating Turing machine and uniform circuit classes. an introduction of counting classes, proving the famous results of Valiant and Vazirani and of Toda a thorough treatment of the proof that IP is identical to PSPACE With its accessibility and well-devised organization, this text/reference is an excellent resource and guide for those looking to develop a solid grounding in the theory of computing. Beginning graduates, advanced undergraduates, and professionals involved in theoretical computer science, complexity theory, and computability will find the book an essential and practical learning tool. Topics and features: Concise, focused materials cover the most fundamental concepts and results in the field of modern complexity theory, including the theory of NP-completeness, NP-hardness, the polynomial hierarchy, and complete problems for other complexity classes Contains information that otherwise exists only in research literature and presents it in a unified, simplified manner Provides key mathematical background information, including sections on logic and number theory and algebra Supported by numerous exercises and supplementary problems for reinforcement and self-study purposes
Book Synopsis All About Maude - A High-Performance Logical Framework by : Manuel Clavel
Download or read book All About Maude - A High-Performance Logical Framework written by Manuel Clavel and published by Springer. This book was released on 2007-07-19 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 Iterative Methods for Sparse Linear Systems by : Yousef Saad
Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad and published by SIAM. This book was released on 2003-04-01 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.
Author :Przemyslaw Prusinkiewicz Publisher :Springer Science & Business Media ISBN 13 :1461384761 Total Pages :235 pages Book Rating :4.4/5 (613 download)
Book Synopsis The Algorithmic Beauty of Plants by : Przemyslaw Prusinkiewicz
Download or read book The Algorithmic Beauty of Plants written by Przemyslaw Prusinkiewicz 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: Now available in an affordable softcover edition, this classic in Springer's acclaimed Virtual Laboratory series is the first comprehensive account of the computer simulation of plant development. 150 illustrations, one third of them in colour, vividly demonstrate the spectacular results of the algorithms used to model plant shapes and developmental processes. The latest in computer-generated images allow us to look at plants growing, self-replicating, responding to external factors and even mutating, without becoming entangled in the underlying mathematical formulae involved. The authors place particular emphasis on Lindenmayer systems - a notion conceived by one of the authors, Aristid Lindenmayer, and internationally recognised for its exceptional elegance in modelling biological phenomena. Nonetheless, the two authors take great care to present a survey of alternative methods for plant modelling.
Book Synopsis Tools and Algorithms for the Construction and Analysis of Systems by : Dirk Beyer
Download or read book Tools and Algorithms for the Construction and Analysis of Systems written by Dirk Beyer and published by Springer. This book was released on 2019-04-03 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is Open Access under a CC BY licence. This book, LNCS 11429, is part III of the proceedings of the 25th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2019, which took place in Prague, Czech Republic, in April 2019, held as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2019. It's a special volume on the occasion of the 25 year anniversary of TACAS.
Download or read book Pattern Calculus written by Barry Jay and published by Springer Science & Business Media. This book was released on 2009-07-30 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over time, basic research tends to lead to specialization – increasingly narrow t- ics are addressed by increasingly focussed communities, publishing in increasingly con ned workshops and conferences, discussing increasingly incremental contri- tions. Already the community of programming languages is split into various s- communities addressing different aspects and paradigms (functional, imperative, relational, and object-oriented). Only a few people manage to maintain a broader view, and even fewer step back in order to gain an understanding about the basic principles, their interrelation, and their impact in a larger context. The pattern calculus is the result of a profound re-examination of a 50-year - velopment. It attempts to provide a unifying approach, bridging the gaps between different programming styles and paradigms according to a new slogan – compu- tion is pattern matching. It is the contribution of this book to systematically and elegantly present and evaluate the power of pattern matching as the guiding paradigm of programming. Patterns are dynamically generated, discovered, passed, applied, and automatically adapted, based on pattern matching and rewriting technology, which allows one to elegantly relate things as disparate as functions and data structures. Of course, pattern matching is not new. It underlies term rewriting – it is, for example, inc- porated in, typically functional, programming languages, like Standard ML – but it has never been pursued as the basis of a unifying framework for programming.
Book Synopsis Conditional Term Rewriting Systems by : J. L. Rémy
Download or read book Conditional Term Rewriting Systems written by J. L. Rémy and published by . This book was released on 1994 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt:
