Finite Automata Their Algebras And Grammars

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Finite Automata, Their Algebras and Grammars

Author : J. Richard Büchi
Publisher : Springer Science & Business Media
ISBN 13 : 1461388538
Total Pages : 335 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Finite Automata, Their Algebras and Grammars by : J. Richard Büchi

Download or read book Finite Automata, Their Algebras and Grammars written by J. Richard Büchi and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author, who died in 1984, is well-known both as a person and through his research in mathematical logic and theoretical computer science. In the first part of the book he presents the new classical theory of finite automata as unary algebras which he himself invented about 30 years ago. Many results, like his work on structure lattices or his characterization of regular sets by generalized regular rules, are unknown to a wider audience. In the second part of the book he extends the theory to general (non-unary, many-sorted) algebras, term rewriting systems, tree automata, and pushdown automata. Essentially Büchi worked independent of other rersearch, following a novel and stimulating approach. He aimed for a mathematical theory of terms, but could not finish the book. Many of the results are known by now, but to work further along this line presents a challenging research program on the borderline between universal algebra, term rewriting systems, and automata theory. For the whole book and again within each chapter the author starts at an elementary level, giving careful explanations and numerous examples and exercises, and then leads up to the research level. In this way he covers the basic theory as well as many nonstandard subjects. Thus the book serves as a textbook for both the beginner and the advances student, and also as a rich source for the expert.

Finite Automata, Their Algebras and Grammars

Author : J. Richard Büchi
Publisher :
ISBN 13 : 9783540969051
Total Pages : 316 pages
Book Rating : 4.9/5 (69 download)

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Book Synopsis Finite Automata, Their Algebras and Grammars by : J. Richard Büchi

Download or read book Finite Automata, Their Algebras and Grammars written by J. Richard Büchi and published by . This book was released on 1989-01-01 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Finite Automata

Author : Mark V. Lawson
Publisher : CRC Press
ISBN 13 : 1482285843
Total Pages : 320 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Finite Automata by : Mark V. Lawson

Download or read book Finite Automata written by Mark V. Lawson and published by CRC Press. This book was released on 2003-09-17 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in finite automata theory continues to grow, not only because of its applications in computer science, but also because of more recent applications in mathematics, particularly group theory and symbolic dynamics. The subject itself lies on the boundaries of mathematics and computer science, and with a balanced approach that does justice to

Algebraic and Structural Automata Theory

Author : B. Mikolajczak
Publisher : Elsevier
ISBN 13 : 0080867847
Total Pages : 425 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Algebraic and Structural Automata Theory by : B. Mikolajczak

Download or read book Algebraic and Structural Automata Theory written by B. Mikolajczak and published by Elsevier. This book was released on 1991-01-14 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automata Theory is part of computability theory which covers problems in computer systems, software, activity of nervous systems (neural networks), and processes of live organisms development. The result of over ten years of research, this book presents work in the following areas of Automata Theory: automata morphisms, time-varying automata, automata realizations and relationships between automata and semigroups. Aimed at those working in discrete mathematics and computer science, parts of the book are suitable for use in graduate courses in computer science, electronics, telecommunications, and control engineering. It is assumed that the reader is familiar with the basic concepts of algebra and graph theory.

Theory Of Automata, Formal Languages And Computation (As Per Uptu Syllabus)

Author : S.P.Eugene Xavier
Publisher : New Age International
ISBN 13 : 8122416551
Total Pages : 35 pages
Book Rating : 4.1/5 (224 download)

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Book Synopsis Theory Of Automata, Formal Languages And Computation (As Per Uptu Syllabus) by : S.P.Eugene Xavier

Download or read book Theory Of Automata, Formal Languages And Computation (As Per Uptu Syllabus) written by S.P.Eugene Xavier and published by New Age International. This book was released on 2005 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Book Is Aimed At Providing An Introduction To The Basic Models Of Computability To The Undergraduate Students. This Book Is Devoted To Finite Automata And Their Properties. Pushdown Automata Provides A Class Of Models And Enables The Analysis Of Context-Free Languages. Turing Machines Have Been Introduced And The Book Discusses Computability And Decidability. A Number Of Problems With Solutions Have Been Provided For Each Chapter. A Lot Of Exercises Have Been Given With Hints/Answers To Most Of These Tutorial Problems.

Applications of Automata Theory and Algebra

Author : John L. Rhodes
Publisher : World Scientific
ISBN 13 : 9812836969
Total Pages : 293 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Applications of Automata Theory and Algebra by : John L. Rhodes

Download or read book Applications of Automata Theory and Algebra written by John L. Rhodes and published by World Scientific. This book was released on 2010 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was originally written in 1969 by Berkeley mathematician John Rhodes. It is the founding work in what is now called algebraic engineering, an emerging field created by using the unifying scheme of finite state machine models and their complexity to tie together many fields: finite group theory, semigroup theory, automata and sequential machine theory, finite phase space physics, metabolic and evolutionary biology, epistemology, mathematical theory of psychoanalysis, philosophy, and game theory. The author thus introduced a completely original algebraic approach to complexity and the understanding of finite systems. The unpublished manuscript, often referred to as "The Wild Book," became an underground classic, continually requested in manuscript form, and read by many leading researchers in mathematics, complex systems, artificial intelligence, and systems biology. Yet it has never been available in print until now. This first published edition has been edited and updated by Chrystopher Nehaniv for the 21st century. Its novel and rigorous development of the mathematical theory of complexity via algebraic automata theory reveals deep and unexpected connections between algebra (semigroups) and areas of science and engineering. Co-founded by John Rhodes and Kenneth Krohn in 1962, algebraic automata theory has grown into a vibrant area of research, including the complexity of automata, and semigroups and machines from an algebraic viewpoint, and which also touches on infinite groups, and other areas of algebra. This book sets the stage for the application of algebraic automata theory to areas outside mathematics. The material and references have been brought up to date bythe editor as much as possible, yet the book retains its distinct character and the bold yet rigorous style of the author. Included are treatments of topics such as models of time as algebra via semigroup theory; evolution-complexity relations applicable to both ontogeny and evolution; an approach to classification of biological reactions and pathways; the relationships among coordinate systems, symmetry, and conservation principles in physics; discussion of "punctuated equilibrium" (prior to Stephen Jay Gould); games; and applications to psychology, psychoanalysis, epistemology, and the purpose of life. The approach and contents will be of interest to a variety of researchers and students in algebra as well as to the diverse, growing areas of applications of algebra in science and engineering. Moreover, many parts of the book will be intelligible to non-mathematicians, including students and experts from diverse backgrounds.

Discrete Structures and Automata Theory

Author : Rakesh Dube
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9781842652565
Total Pages : 612 pages
Book Rating : 4.6/5 (525 download)

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Book Synopsis Discrete Structures and Automata Theory by : Rakesh Dube

Download or read book Discrete Structures and Automata Theory written by Rakesh Dube and published by Alpha Science Int'l Ltd.. This book was released on 2006 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Structures and Automata Theory is designed for an introductory course on formal languages, automata and discrete mathematics. Divided into two parts it covers discrete methods - stressing the finite nature in many problems and structures; combinatorics - the algebra of enumeration or coding and finite algebraic structures - effecting coding theory, method of enumeration, gating networks and combinatorial designs. It also discusses the applications of Automata Theory in Compiler design, Natural Language Processing and development of new programming languages.

Theory of Finite Automata

Author : John Carroll
Publisher :
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Theory of Finite Automata by : John Carroll

Download or read book Theory of Finite Automata written by John Carroll and published by . This book was released on 1989 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Theory of Automata and Languages

Author : Masami It?
Publisher : World Scientific
ISBN 13 : 9810247273
Total Pages : 210 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Algebraic Theory of Automata and Languages by : Masami It?

Download or read book Algebraic Theory of Automata and Languages written by Masami It? and published by World Scientific. This book was released on 2004 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although there are some books dealing with algebraic theory of automata, their contents consist mainly of Krohn-Rhodes theory and related topics. The topics in the present book are rather different. For example, automorphism groups of automata and the partially ordered sets of automata are systematically discussed. Moreover, some operations on languages and special classes of regular languages associated with deterministic and nondeterministic directable automata are dealt with. The book is self-contained and hence does not require any knowledge of automata and formal languages.

Automata and Algebras in Categories

Author : Jirí Adámek
Publisher : Springer Science & Business Media
ISBN 13 : 9780792300106
Total Pages : 498 pages
Book Rating : 4.3/5 (1 download)

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Book Synopsis Automata and Algebras in Categories by : Jirí Adámek

Download or read book Automata and Algebras in Categories written by Jirí Adámek and published by Springer Science & Business Media. This book was released on 1990-08-31 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monograph( based very largely upon results original to the Czechoslovakian authors) presents an abstract account of the theory of automata for sophisticated readers presumed to be already conversant in the language of category theory. The seven chapters are punctuated at frequent intervals by exampl

Algebraic Theory Of Automata And Languages

Author : Masami Ito
Publisher : World Scientific
ISBN 13 : 9814490288
Total Pages : 210 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Algebraic Theory Of Automata And Languages by : Masami Ito

Download or read book Algebraic Theory Of Automata And Languages written by Masami Ito and published by World Scientific. This book was released on 2004-04-16 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although there are some books dealing with algebraic theory of automata, their contents consist mainly of Krohn-Rhodes theory and related topics. The topics in the present book are rather different. For example, automorphism groups of automata and the partially ordered sets of automata are systematically discussed. Moreover, some operations on languages and special classes of regular languages associated with deterministic and nondeterministic directable automata are dealt with. The book is self-contained and hence does not require any knowledge of automata and formal languages.

Automata, Formal Languages and Algebraic Systems

Author : Masami Ito
Publisher : World Scientific
ISBN 13 : 9814317608
Total Pages : 247 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Automata, Formal Languages and Algebraic Systems by : Masami Ito

Download or read book Automata, Formal Languages and Algebraic Systems written by Masami Ito and published by World Scientific. This book was released on 2010 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of papers selected from the presentations at the workshop and includes mainly recent developments in the fields of formal languages, automata theory and algebraic systems related to the theoretical computer science and informatics. It covers the areas such as automata and grammars, languages and codes, combinatorics on words, cryptosystems, logics and trees, Grobner bases, minimal clones, zero-divisor graphs, fine convergence of functions, and others.

Structural Theory of Automata, Semigroups, and Universal Algebra

Author : Valery B. Kudryavtsev
Publisher : Springer Science & Business Media
ISBN 13 : 1402038178
Total Pages : 448 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Structural Theory of Automata, Semigroups, and Universal Algebra by : Valery B. Kudryavtsev

Download or read book Structural Theory of Automata, Semigroups, and Universal Algebra written by Valery B. Kudryavtsev and published by Springer Science & Business Media. This book was released on 2006-01-18 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semigroups, Automata, Universal Algebra, Varieties

Graph Algebras and Automata

Author : Andrei Kelarev
Publisher : CRC Press
ISBN 13 : 9780824747084
Total Pages : 388 pages
Book Rating : 4.7/5 (47 download)

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Book Synopsis Graph Algebras and Automata by : Andrei Kelarev

Download or read book Graph Algebras and Automata written by Andrei Kelarev and published by CRC Press. This book was released on 2003-07-08 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph algebras possess the capacity to relate fundamental concepts of computer science, combinatorics, graph theory, operations research, and universal algebra. They are used to identify nontrivial connections across notions, expose conceptual properties, and mediate the application of methods from one area toward questions of the other four. After a concentrated review of the prerequisite mathematical background, Graph Algebras and Automata defines graph algebras and reveals their applicability to automata theory. It proceeds to explore assorted monoids, semigroups, rings, codes, and other algebraic structures and to outline theorems and algorithms for finite state automata and grammars.

Language and Automata Theory and Applications

Author : Carlos Martin-Vide
Publisher : Springer Science & Business Media
ISBN 13 : 3540882812
Total Pages : 512 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Language and Automata Theory and Applications by : Carlos Martin-Vide

Download or read book Language and Automata Theory and Applications written by Carlos Martin-Vide and published by Springer Science & Business Media. This book was released on 2008-10-08 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Second International Conference on Language and Automata Theory and Applications, LATA 2008, held in Tarragona, Spain, in March 2008. The 40 revised full papers presented were carefully reviewed and selected from 134 submissions. The papers deal with the various issues related to automata theory and formal languages

Formal Properties of Finite Automata and Applications

Author : Jean E. Pin
Publisher : Springer Science & Business Media
ISBN 13 : 9783540516316
Total Pages : 276 pages
Book Rating : 4.5/5 (163 download)

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Book Synopsis Formal Properties of Finite Automata and Applications by : Jean E. Pin

Download or read book Formal Properties of Finite Automata and Applications written by Jean E. Pin and published by Springer Science & Business Media. This book was released on 1989-10-11 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains the proceedings of the 16th Spring School on Theoretical Computer Science held in Ramatuelle, France, in May 1988. It is a unique combination of research level articles on various aspects of the theory of finite automata and its applications. Advances made in the last five years on the mathematical foundations form the first part of the book. The second part is devoted to the important problems of the theory including star-height, concatenation hierarchies, and connections with logic and word problems. The last part presents a large variety of possible applications: number theory, distributed systems, algorithms on strings, theory of codes, complexity of boolean circuits and others.

Automata Theory and its Applications

Author : Bakhadyr Khoussainov
Publisher : Springer Science & Business Media
ISBN 13 : 1461201713
Total Pages : 442 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Automata Theory and its Applications by : Bakhadyr Khoussainov

Download or read book Automata Theory and its Applications written by Bakhadyr Khoussainov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of finite automata on finite stings, infinite strings, and trees has had a dis tinguished history. First, automata were introduced to represent idealized switching circuits augmented by unit delays. This was the period of Shannon, McCullouch and Pitts, and Howard Aiken, ending about 1950. Then in the 1950s there was the work of Kleene on representable events, of Myhill and Nerode on finite coset congruence relations on strings, of Rabin and Scott on power set automata. In the 1960s, there was the work of Btichi on automata on infinite strings and the second order theory of one successor, then Rabin's 1968 result on automata on infinite trees and the second order theory of two successors. The latter was a mystery until the introduction of forgetful determinacy games by Gurevich and Harrington in 1982. Each of these developments has successful and prospective applications in computer science. They should all be part of every computer scientist's toolbox. Suppose that we take a computer scientist's point of view. One can think of finite automata as the mathematical representation of programs that run us ing fixed finite resources. Then Btichi's SIS can be thought of as a theory of programs which run forever (like operating systems or banking systems) and are deterministic. Finally, Rabin's S2S is a theory of programs which run forever and are nondeterministic. Indeed many questions of verification can be decided in the decidable theories of these automata.