String Rewriting Systems

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String-Rewriting Systems

Author : Ronald V. Book
Publisher : Springer Science & Business Media
ISBN 13 : 1461397715
Total Pages : 198 pages
Book Rating : 4.4/5 (613 download)

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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.

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.

Loops of Superexponential Lengths in One-rule String Rewriting

Author : Alfons Geser
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Loops of Superexponential Lengths in One-rule String Rewriting by : Alfons Geser

Download or read book Loops of Superexponential Lengths in One-rule String Rewriting written by Alfons Geser and published by . This book was released on 2002 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Loops are the most frequent cause of non-termination in string rewriting. In the general case, non-terminating, non-looping string rewriting systems exist, and the uniform termination problem is undecidable. For rewriting with only one string rewriting rule, it is unknown whether non-terminating, non-looping systems exist and whether uniform termination is decidable. If in the one-rule case, non-termination is equivalent to the existence of loops, as McNaughton conjectures, then a decision procedure for the existence of loops also solves the uniform termination problem. As the existence of loops of bounded lengths is decidable, the question is raised how long shortest loops may be. We show that string rewriting rules exist whose shortest loops have superexponential lengths in the size of the rule.

An Introduction to the Theory of Computation

Author : Eitan M. Gurari
Publisher :
ISBN 13 :
Total Pages : 314 pages
Book Rating : 4.:/5 (964 download)

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Book Synopsis An Introduction to the Theory of Computation by : Eitan M. Gurari

Download or read book An Introduction to the Theory of Computation written by Eitan M. Gurari and published by . This book was released on 1989 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Algorithmic Beauty of Plants

Author : Przemyslaw Prusinkiewicz
Publisher : Springer Science & Business Media
ISBN 13 : 1461384761
Total Pages : 235 pages
Book Rating : 4.4/5 (613 download)

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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.

All About Maude - A High-Performance Logical Framework

Author : Manuel Clavel
Publisher : Springer
ISBN 13 : 3540719997
Total Pages : 802 pages
Book Rating : 4.5/5 (47 download)

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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.

Combinatorial Algebra: Syntax and Semantics

Author : Mark V. Sapir
Publisher : Springer
ISBN 13 : 3319080318
Total Pages : 369 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Combinatorial Algebra: Syntax and Semantics by : Mark V. Sapir

Download or read book Combinatorial Algebra: Syntax and Semantics written by Mark V. Sapir and published by Springer. This book was released on 2014-10-06 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Lindenmayer Systems, Fractals, and Plants

Author : Przemyslaw Prusinkiewicz
Publisher : Springer Science & Business Media
ISBN 13 : 1475714289
Total Pages : 127 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Lindenmayer Systems, Fractals, and Plants by : Przemyslaw Prusinkiewicz

Download or read book Lindenmayer Systems, Fractals, and Plants written by Przemyslaw Prusinkiewicz and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1-systems are a mathematical formalism which was proposed by Aristid 1indenmayer in 1968 as a foundation for an axiomatic theory of develop ment. The notion promptly attracted the attention of computer scientists, who investigated 1-systems from the viewpoint of formal language theory. This theoretical line of research was pursued very actively in the seventies, resulting in over one thousand publications. A different research direction was taken in 1984 by Alvy Ray Smith, who proposed 1-systems as a tool for synthesizing realistic images of plants and pointed out the relationship between 1-systems and the concept of fractals introduced by Benoit Mandel brot. The work by Smith inspired our studies of the application of 1-systems to computer graphics. Originally, we were interested in two problems: • Can 1-systems be used as a realistic model of plant species found in nature? • Can 1-systems be applied to generate images of a wide class of fractals? It turned out that both questions had affirmative answers. Subsequently we found that 1-systems could be applied to other areas, such as the generation of tilings, reproduction of a geometric art form from East India, and synthesis of musical scores based on an interpretation of fractals. This book collects our results related to the graphical applications of- systems. It is a corrected version of the notes which we prepared for the ACM SIGGRAPH '88 course on fractals.

Rewriting Techniques and Applications

Author : Vincent van Oostrom
Publisher : Springer
ISBN 13 : 3540259791
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. This book was released on 2004-08-24 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 15th International Conference on Rewriting Techniques and Applications (RTA 2004), which was held June 2- 5, 2004, at the RWTH Aachen in Germany. RTA is the major forum for the presentation of research on all aspects of rewriting. Previous RTA conferences took place in Dijon (1985), Bordeaux (1987), Chapel Hill (1989), Como (1991), Montreal (1993), Kaiserslautern (1995), Rutgers (1996), Sitges (1997), Tsukuba (1998), Trento (1999), Norwich (2000), Utrecht (2001), Copenhagen (2002), and Valencia (2003). The program committee selected 19 papers for presentation, including?ve system descriptions, from a total of 43 submissions. In addition, there were invited talks by Neil Jones, Aart Middeldorp, and Robin Milner. Many people helped to make RTA 2004 a success. I am grateful to the m- bers of the program committee and the external referees for reviewing the s- missionsandmaintainingthehighstandardsoftheRTAconferences. Itisagreat pleasure to thank the conference chair Jurgen · Giesl and the other members of the local organizing committee. They were in charge of the local organization of all events partaking in the Federated Conference on Rewriting, Deduction, and Programming (RDP). Apart from RTA 2004, these events were: - 2nd International Workshop on Higher-Order Rewriting (Delia Kesner, Femke van Raamsdonk, and Joe Wells), - 5th International Workshop on Rule-Based Programming (Slim Abdennadher and Christophe Ringeissen), - 13thInternationalWorkshoponFunctionaland(Constraint)LogicProgr- ming (Herbert Kuchen), - IFIP Working Group 1.

A Programming Approach to Computability

Author : A.J. Kfoury
Publisher : Springer Science & Business Media
ISBN 13 : 1461257492
Total Pages : 259 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis A Programming Approach to Computability by : A.J. Kfoury

Download or read book A Programming Approach to Computability written by A.J. Kfoury and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computability theory is at the heart of theoretical computer science. Yet, ironically, many of its basic results were discovered by mathematical logicians prior to the development of the first stored-program computer. As a result, many texts on computability theory strike today's computer science students as far removed from their concerns. To remedy this, we base our approach to computability on the language of while-programs, a lean subset of PASCAL, and postpone consideration of such classic models as Turing machines, string-rewriting systems, and p. -recursive functions till the final chapter. Moreover, we balance the presentation of un solvability results such as the unsolvability of the Halting Problem with a presentation of the positive results of modern programming methodology, including the use of proof rules, and the denotational semantics of programs. Computer science seeks to provide a scientific basis for the study of information processing, the solution of problems by algorithms, and the design and programming of computers. The last 40 years have seen increasing sophistication in the science, in the microelectronics which has made machines of staggering complexity economically feasible, in the advances in programming methodology which allow immense programs to be designed with increasing speed and reduced error, and in the develop ment of mathematical techniques to allow the rigorous specification of program, process, and machine.

KI 2019: Advances in Artificial Intelligence

Author : Christoph Benzmüller
Publisher : Springer Nature
ISBN 13 : 3030301796
Total Pages : 354 pages
Book Rating : 4.0/5 (33 download)

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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.

Term Rewriting and All That

Author : Franz Baader
Publisher : Cambridge University Press
ISBN 13 : 1316101797
Total Pages : 444 pages
Book Rating : 4.3/5 (161 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 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.

JFLAP

Author : Susan H. Rodger
Publisher : Jones & Bartlett Learning
ISBN 13 : 9780763738341
Total Pages : 218 pages
Book Rating : 4.7/5 (383 download)

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Book Synopsis JFLAP by : Susan H. Rodger

Download or read book JFLAP written by Susan H. Rodger and published by Jones & Bartlett Learning. This book was released on 2006 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: JFLAP: An Interactive Formal Languages and Automata Package is a hands-on supplemental guide through formal languages and automata theory. JFLAP guides students interactively through many of the concepts in an automata theory course or the early topics in a compiler course, including the descriptions of algorithms JFLAP has implemented. Students can experiment with the concepts in the text and receive immediate feedback when applying these concepts with the accompanying software. The text describes each area of JFLAP and reinforces concepts with end-of-chapter exercises. In addition to JFLAP, this guide incorporates two other automata theory tools into JFLAP: JellRap and Pate.

Mathematica in Action

Author : Stan Wagon
Publisher : Springer Science & Business Media
ISBN 13 : 9780387986845
Total Pages : 624 pages
Book Rating : 4.9/5 (868 download)

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Book Synopsis Mathematica in Action by : Stan Wagon

Download or read book Mathematica in Action written by Stan Wagon and published by Springer Science & Business Media. This book was released on 1999 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematica in Action, 2nd Edition," is designed both as a guide to the extraordinary capabilities of Mathematica as well as a detailed tour of modern mathematics by one of its leading expositors, Stan Wagon. Ideal for teachers, researchers, mathematica enthusiasts. This second edition of the highly sucessful W.H. Freeman version includes an 8 page full color insert and 50% new material all organized around Elementary Topics, Intermediate Applications, and Advanced Projects. In addition, the book uses Mathematica 3.0 throughtout. Mathematica 3.0 notebooks with all the programs and examples discussed in the book are available on the TELOS web site (www.telospub.com). These notebooks contain materials suitable for DOS, Windows, Macintosh and Unix computers. Stan Wagon is well-known in the mathematics (and Mathematica) community as Associate Editor of the "American Mathematical Monthly," a columnist for the "Mathematical Intelligencer" and "Mathematica in Education and Research," author of "The Banach-Tarski Paradox" and "Unsolved Problems in Elementary Geometry and Number Theory (with Victor Klee), as well as winner of the 1987 Lester R. Ford Award for Expository Writing.

Unconventional Computation and Natural Computation

Author : Ian McQuillan
Publisher : Springer
ISBN 13 : 303019311X
Total Pages : 287 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Unconventional Computation and Natural Computation by : Ian McQuillan

Download or read book Unconventional Computation and Natural Computation written by Ian McQuillan and published by Springer. This book was released on 2019-05-27 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 18th International Conference on Unconventional Computation and Natural Computation, UCNC 2019, held in Tokyo, Japan, in June 2019. The 19 full papers presented were carefully reviewed and selected from 32 submissions. The papers cover topics such as hypercomputation; chaos and dynamical systems based computing; granular, fuzzy and rough computing; mechanical computing; cellular, evolutionary, molecular, neural, and quantum computing; membrane computing; amorphous computing, swarm intelligence; artificial immune systems; physics of computation; chemical computation; evolving hardware; the computational nature of self-assembly, developmental processes, bacterial communication, and brain processes.

Computability, Complexity, and Languages

Author : Martin Davis
Publisher : Academic Press
ISBN 13 : 0122063821
Total Pages : 631 pages
Book Rating : 4.1/5 (22 download)

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Book Synopsis Computability, Complexity, and Languages by : Martin Davis

Download or read book Computability, Complexity, and Languages written by Martin Davis and published by Academic Press. This book was released on 1994-02-03 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory text covers the key areas of computer science, including recursive function theory, formal languages, and automata. Additions to the second edition include: extended exercise sets, which vary in difficulty; expanded section on recursion theory; new chapters on program verification and logic programming; updated references and examples throughout.

Handbook of Formal Languages

Author : Grzegorz Rozenberg
Publisher : Springer Science & Business Media
ISBN 13 : 9783540606499
Total Pages : 654 pages
Book Rating : 4.6/5 (64 download)

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Book Synopsis Handbook of Formal Languages by : Grzegorz Rozenberg

Download or read book Handbook of Formal Languages written by Grzegorz Rozenberg and published by Springer Science & Business Media. This book was released on 1997 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third volume of the Handbook of Formal Languages discusses language theory beyond linear or string models: trees, graphs, grids, pictures, computer graphics. Many chapters offer an authoritative self-contained exposition of an entire area. Special emphasis is on interconnections with logic.