Rewriting Computation And Proof

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Term Rewriting Systems

Author : Terese
Publisher : Cambridge University Press
ISBN 13 : 9780521391153
Total Pages : 926 pages
Book Rating : 4.3/5 (911 download)

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Book Synopsis Term Rewriting Systems by : Terese

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.

Term Rewriting and All That

Author : Franz Baader
Publisher : Cambridge University Press
ISBN 13 : 9780521779203
Total Pages : 318 pages
Book Rating : 4.7/5 (792 download)

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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 1998 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unified and self-contained introduction to term-rewriting; suited for students or professionals.

Rewriting Techniques and Applications

Author : Vincent van Oostrom
Publisher : Springer Science & Business Media
ISBN 13 : 3540221530
Total Pages : 322 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Rewriting Techniques and Applications by : Vincent van Oostrom

Download or read book Rewriting Techniques and Applications written by Vincent van Oostrom and published by Springer Science & Business Media. This book was released on 2004-05-24 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th International Conference on Rewriting Techniques and Applications, RTA 2004, held in Aachen, Germany in June 2004.

How to Prove It

Author : Daniel J. Velleman
Publisher : Cambridge University Press
ISBN 13 : 0521861241
Total Pages : 401 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis How to Prove It by : Daniel J. Velleman

Download or read book How to Prove It written by Daniel J. Velleman and published by Cambridge University Press. This book was released on 2006-01-16 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.

Proofs and Algorithms

Author : Gilles Dowek
Publisher : Springer Science & Business Media
ISBN 13 : 0857291211
Total Pages : 161 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Proofs and Algorithms by : Gilles Dowek

Download or read book Proofs and Algorithms written by Gilles Dowek and published by Springer Science & Business Media. This book was released on 2011-01-11 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic is a branch of philosophy, mathematics and computer science. It studies the required methods to determine whether a statement is true, such as reasoning and computation. Proofs and Algorithms: Introduction to Logic and Computability is an introduction to the fundamental concepts of contemporary logic - those of a proof, a computable function, a model and a set. It presents a series of results, both positive and negative, - Church's undecidability theorem, Gödel’s incompleteness theorem, the theorem asserting the semi-decidability of provability - that have profoundly changed our vision of reasoning, computation, and finally truth itself. Designed for undergraduate students, this book presents all that philosophers, mathematicians and computer scientists should know about logic.

Theoretical Aspects of Computing – ICTAC 2018

Author : Bernd Fischer
Publisher : Springer
ISBN 13 : 303002508X
Total Pages : 546 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Theoretical Aspects of Computing – ICTAC 2018 by : Bernd Fischer

Download or read book Theoretical Aspects of Computing – ICTAC 2018 written by Bernd Fischer and published by Springer. This book was released on 2018-10-13 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th International Colloquium on Theoretical Aspects of Computing, ICTAC 2018, held in Stellenbosch, South Africa, in October 2018. The 25 revised full papers presented together with two short and two long invited talks were carefully reviewed and selected from 59 submissions. The ICTAC conference aims at bringing together researchers and practitioners from academia, industry and government to present research and exchange ideas and experience addressing challenges in both theoretical aspects of computing and the exploitation of theory through methods and tools for system development. ICTAC also specifically aims to promote research cooperation between developing and industrial countries.

Proofs from THE BOOK

Author : Martin Aigner
Publisher : Springer Science & Business Media
ISBN 13 : 3662223430
Total Pages : 194 pages
Book Rating : 4.6/5 (622 download)

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Book Synopsis Proofs from THE BOOK by : Martin Aigner

Download or read book Proofs from THE BOOK written by Martin Aigner and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.

Canonical Equational Proofs

Author : Bachmair
Publisher : Springer Science & Business Media
ISBN 13 : 146847118X
Total Pages : 142 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Canonical Equational Proofs by : Bachmair

Download or read book Canonical Equational Proofs written by Bachmair and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equations occur in many computer applications, such as symbolic compu tation, functional programming, abstract data type specifications, program verification, program synthesis, and automated theorem proving. Rewrite systems are directed equations used to compute by replacing subterms in a given formula by equal terms until a simplest form possible, called a normal form, is obtained. The theory of rewriting is concerned with the compu tation of normal forms. We shall study the use of rewrite techniques for reasoning about equations. Reasoning about equations may, for instance, involve deciding whether an equation is a logical consequence of a given set of equational axioms. Convergent rewrite systems are those for which the rewriting process de fines unique normal forms. They can be thought of as non-deterministic functional programs and provide reasonably efficient decision procedures for the underlying equational theories. The Knuth-Bendix completion method provides a means of testing for convergence and can often be used to con struct convergent rewrite systems from non-convergent ones. We develop a proof-theoretic framework for studying completion and related rewrite based proof procedures. We shall view theorem provers as proof transformation procedures, so as to express their essential properties as proof normalization theorems.

Proofs and Computations in Conditional Equational Theories

Author : G. Sivakumar
Publisher :
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Proofs and Computations in Conditional Equational Theories by : G. Sivakumar

Download or read book Proofs and Computations in Conditional Equational Theories written by G. Sivakumar and published by . This book was released on 1989 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory and Practice of Computation

Author : Shin-ya Nishizaki
Publisher : Springer Science & Business Media
ISBN 13 : 4431541063
Total Pages : 223 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Theory and Practice of Computation by : Shin-ya Nishizaki

Download or read book Theory and Practice of Computation written by Shin-ya Nishizaki and published by Springer Science & Business Media. This book was released on 2012-04-27 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computation should be a good blend of theory and practice, and researchers in the field should create algorithms to address real world problems, putting equal weight on analysis and implementation. Experimentation and simulation can be viewed as yielding to refined theories or improved applications. The Workshop on Computation: Theory and Practice (WCTP)-2011 was the first workshop organized jointly by the Tokyo Institute of Technology, the Institute of Scientific and Industrial Research–Osaka University, the University of the Philippines Diliman, and De La Salle University–Manila devoted to theoretical and practical approaches to computation. The aim of the workshop was to present the latest developments by theoreticians and practitioners in academe and industry working to address computational problems that can directly impact the way we live in society. This book comprises the refereed proceedings of WCTP-2011, held in Quezon City, the Philippines, in September 2011. The 16 carefully reviewed and revised full papers presented here deal with biologically inspired computational modeling, programming language theory, advanced studies in networking, and empathic computing. .

Theoretical Aspects of Computing – ICTAC 2021

Author : Antonio Cerone
Publisher : Springer Nature
ISBN 13 : 3030853152
Total Pages : 405 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Theoretical Aspects of Computing – ICTAC 2021 by : Antonio Cerone

Download or read book Theoretical Aspects of Computing – ICTAC 2021 written by Antonio Cerone and published by Springer Nature. This book was released on 2021-08-19 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 18th International Colloquium on Theoretical Aspects of Computing, ICTAC 2021, organized by the Nazarbayev University, Nur-Sultan, Kazakhstan. The event was supposed to take place in Nur-Sultan, Kazakhstan, but due to COVID-19 pandemic is was held virtually. The 15 papers presented in this volume were carefully reviewed and selected from 40 submissions. The book also contains one invited talk in full paper length. The book deals with challenges in both theoretical aspects of computing and the exploitation of theory through methods and tools for system development. The 20 full papers presented in this volume were carefully reviewed and selected from 55 submissions. The papers cover a wide variety of topics, including: getting the best price for selling your personal data; attacking Bitcoin; optimizing various forms of model checking; synthesizing and learning algorithms; formalizing and verifying contracts, languages, and compilers; analyzing the correctness and complexity of programs and distributed systems; and finding connections from proofs in propositional logic to quantum programming languages.

Recent Trends in Algebraic Development Techniques

Author : Martin Wirsing
Publisher : Springer Science & Business Media
ISBN 13 : 3540205373
Total Pages : 466 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Recent Trends in Algebraic Development Techniques by : Martin Wirsing

Download or read book Recent Trends in Algebraic Development Techniques written by Martin Wirsing and published by Springer Science & Business Media. This book was released on 2003-11-24 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 16th International Workshop on Algebraic Development Techniques, WADT 2002, held at Frauenchiemsee, Germany in September 2002. The 20 revised full papers presented together with 6 invited papers were carefully improved and selected from 44 workshop presentations during two rounds of reviewing. The papers are devoted to topics like formal methods for system development, specification languages and methods, systems and techniques for reasoning about specifications, specification development systems, methods and techniques for concurrent, distributed, and mobile systems, and algebraic and co-algebraic methods.

Principles and Practice of Constraint Programming

Author : Vijay Saraswat
Publisher : MIT Press
ISBN 13 : 9780262193610
Total Pages : 504 pages
Book Rating : 4.1/5 (936 download)

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Book Synopsis Principles and Practice of Constraint Programming by : Vijay Saraswat

Download or read book Principles and Practice of Constraint Programming written by Vijay Saraswat and published by MIT Press. This book was released on 1995 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constraint programming aims at supporting a wide range of complex applications, which are often modeled naturally in terms of constraints. Early work, in the 1960s and 1970s, made use of constraints in computer graphics, user interfaces, and artificial intelligence. Such work introduced a declarative component in otherwise-procedural systems to reduce the development effort.

Proceedings

Author :
Publisher :
ISBN 13 : 9780387528854
Total Pages : 478 pages
Book Rating : 4.5/5 (288 download)

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Book Synopsis Proceedings by :

Download or read book Proceedings written by and published by . This book was released on 1990 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Database Theory - ICDT 2001

Author : Jan Van den Bussche
Publisher : Springer Science & Business Media
ISBN 13 : 3540414568
Total Pages : 460 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Database Theory - ICDT 2001 by : Jan Van den Bussche

Download or read book Database Theory - ICDT 2001 written by Jan Van den Bussche and published by Springer Science & Business Media. This book was released on 2001-02-08 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 8th International Conference on Database Theory, ICDT 2001, held in London, UK, in January 2001. The 26 revised full papers presented together with two invited papers were carefully reviewed and selected from 75 submissions. All current issues on database theory and the foundations of database systems are addressed. Among the topics covered are database queries, SQL, information retrieval, database logic, database mining, constraint databases, transactions, algorithmic aspects, semi-structured data, data engineering, XML, term rewriting, clustering, etc.

Algebraic Methodology and Software Technology

Author : Armando M. Haeberer
Publisher : Springer
ISBN 13 : 3540492534
Total Pages : 542 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Algebraic Methodology and Software Technology by : Armando M. Haeberer

Download or read book Algebraic Methodology and Software Technology written by Armando M. Haeberer and published by Springer. This book was released on 2003-05-20 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: AMAST’s goal is to advance awareness of algebraic and logical methodology as part of the fundamental basis of software technology. Ten years and seven conferences after the start of the AMAST movement, I believe we are attaining this. The movement has propagated throughout the world, assembling many enthusiastic specialists who have participated not only in the conferences, which are now annual, but also in the innumerable other activities that AMAST promotes and supports. We are now facing the Seventh International Conference on Algebraic Methodology and Software Technology (AMAST’98). The previous meetings were held in Iowa City, USA (1989 and 1991), in Enschede, The Netherlands (1993), in Montreal, Canada (1995), in Munich, Germany (1996), and in Sydney, Australia (1997). This time it is Brazil’s turn, in a very special part of this colorful country – Amazonia. Thus, “if we have done more it is by standing on the shoulders of giants.” The effort started by Teodor Rus, Arthur Fleck, and William A. Kirk at AMAST’89 was consolidated in AMAST'91 by Teodor Rus, Maurice Nivat, Charles Rattray, and Giuseppe Scollo. Then came modular construction of the building, wonderfully carried out by Giuseppe Scollo, Vangalur Alagar, Martin Wirsing, and Michael Johnson, as Program Chairs of the AMAST conferences held between 1993 and 1997.

Artificial Intelligence, Automated Reasoning, and Symbolic Computation

Author : Jacques Calmet
Publisher : Springer Science & Business Media
ISBN 13 : 3540438653
Total Pages : 355 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Artificial Intelligence, Automated Reasoning, and Symbolic Computation by : Jacques Calmet

Download or read book Artificial Intelligence, Automated Reasoning, and Symbolic Computation written by Jacques Calmet and published by Springer Science & Business Media. This book was released on 2002-06-19 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the joint International Conferences on Artificial Intelligence and Symbolic Computation, AISC 2002, and Calculemus 2002 held in Marseille, France, in July 2002. The 24 revised full papers presented together with 2 system descriptions were carefully reviewed and selected from 52 submissions. Among the topics covered are automated theorem proving, logical reasoning, mathematical modeling, algebraic computations, computational mathematics, and applications in engineering and industrial practice.