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.

Finite Automata, Their Algebras and Grammars

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Release : 1989-01-01
Genre : Sequential machine theory
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Book Rating : 051/5 ( 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 1989-01-01. Finite Automata, Their Algebras and Grammars available in PDF, EPUB and Kindle.

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

Automata Theory and its Applications

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 713/5 ( reviews)

Automata Theory and its Applications - 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 Automata Theory and its Applications write by Bakhadyr Khoussainov. This book was released on 2012-12-06. Automata Theory and its Applications available in PDF, EPUB and Kindle. 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.

Finite Automata

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Release : 2003-09-17
Genre : Computers
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Book Rating : 843/5 ( reviews)

Finite 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 Finite Automata write by Mark V. Lawson. This book was released on 2003-09-17. Finite Automata available in PDF, EPUB and Kindle. 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