Structural Theory of Automata, Semigroups, and Universal Algebra

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Release : 2006-01-18
Genre : Mathematics
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Book Rating : 178/5 ( reviews)

Structural Theory of Automata, Semigroups, and Universal Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Structural Theory of Automata, Semigroups, and Universal Algebra write by Valery B. Kudryavtsev. This book was released on 2006-01-18. Structural Theory of Automata, Semigroups, and Universal Algebra available in PDF, EPUB and Kindle. Semigroups, Automata, Universal Algebra, Varieties

Finite Semigroups And Universal Algebra

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Release : 1995-01-27
Genre : Mathematics
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Book Rating : 565/5 ( reviews)

Finite Semigroups And Universal Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Finite Semigroups And Universal Algebra write by Jorge Almeida. This book was released on 1995-01-27. Finite Semigroups And Universal Algebra available in PDF, EPUB and Kindle. Motivated by applications in theoretical computer science, the theory of finite semigroups has emerged in recent years as an autonomous area of mathematics. It fruitfully combines methods, ideas and constructions from algebra, combinatorics, logic and topology. In simple terms, the theory aims at a classification of finite semigroups in certain classes called “pseudovarieties”. The classifying characteristics have both structural and syntactical aspects, the general connection between them being part of universal algebra. Besides providing a foundational study of the theory in the setting of arbitrary abstract finite algebras, this book stresses the syntactical approach to finite semigroups. This involves studying (relatively) free and profinite free semigroups and their presentations. The techniques used are illustrated in a systematic study of various operators on pseudovarieties of semigroups.

Completeness Problems in the Structural Theory of Automata

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Release : 1982-01-14
Genre : Computers
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Book Rating : 870/5 ( reviews)

Completeness Problems in the Structural Theory of Automata - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Completeness Problems in the Structural Theory of Automata write by Jürgen Dassow. This book was released on 1982-01-14. Completeness Problems in the Structural Theory of Automata available in PDF, EPUB and Kindle. No detailed description available for "Completeness Problems in the Structural Theory of Automata".

Algebraic and Structural Automata Theory

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

Algebraic and Structural Automata Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic and Structural Automata Theory write by B. Mikolajczak. This book was released on 1991-01-14. Algebraic and Structural Automata Theory available in PDF, EPUB and Kindle. 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.

Finite Automata, Their Algebras and Grammars

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

Finite Automata, Their Algebras and Grammars - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Finite Automata, Their Algebras and Grammars write by J. Richard Büchi. This book was released on 2013-06-29. Finite Automata, Their Algebras and Grammars available in PDF, EPUB and Kindle. 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.