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Graph Algebras and Automata

2003-07-08 Mathematics
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Release : 2003-07-08
Genre : Mathematics
Kind : eBook
Book Rating : 084/5 ( reviews)

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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. This book was released on 2003-07-08. 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.

Graph Algebras

2005 Algebra
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Release : 2005
Genre : Algebra
Kind : eBook
Book Rating : 473/5 ( reviews)

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Book Synopsis Graph Algebras by : Iain Raeburn

Download or read book Graph Algebras written by Iain Raeburn. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic and Structural Automata Theory

1991-01-14 Mathematics
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Release : 1991-01-14
Genre : Mathematics
Kind : eBook
Book Rating : 847/5 ( reviews)

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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. This book was released on 1991-01-14. 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.

Algebraic Theory of Automata

2014-06-25 Technology & Engineering
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Release : 2014-06-25
Genre : Technology & Engineering
Kind : eBook
Book Rating : 16X/5 ( reviews)

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Book Synopsis Algebraic Theory of Automata by : Abraham Ginzburg

Download or read book Algebraic Theory of Automata written by Abraham Ginzburg. This book was released on 2014-06-25. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic Theory of Automata provides information pertinent to the methods and results of algebraic theory of automata. This book covers a variety of topics, including sets, semigroup, groupoids, isomorphism, semiautomata, proof of Kleene's theorem, and algebraic manipulations. Organized into seven chapters, this book begins with an overview of the fundamental properties of groups and semigroups. This text then examines the notion of semiautomaton, which serves as a basis for a rich and interesting theory. Other chapters consider algebraic notions and methods that are very useful in dealing with semiautomata. This book discusses as well some properties of the notion of covering of semiautomata. The final chapter deals with the theory of Krohn and Rhodes. This book is a valuable resource for graduate students.

Finite Automata, Their Algebras and Grammars

2013-06-29 Mathematics
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Release : 2013-06-29
Genre : Mathematics
Kind : eBook
Book Rating : 538/5 ( reviews)

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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. This book was released on 2013-06-29. 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.

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