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Theory of Finite Automata

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Release : 1989
Genre : Computers
Kind : eBook
Book Rating : /5 ( reviews)

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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. This book was released on 1989. Available in PDF, EPUB and Kindle. Book excerpt:

Finite Automata, Formal Logic, and Circuit Complexity

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Release : 2012-12-06
Genre : Computers
Kind : eBook
Book Rating : 892/5 ( reviews)

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Book Synopsis Finite Automata, Formal Logic, and Circuit Complexity by : Howard Straubing

Download or read book Finite Automata, Formal Logic, and Circuit Complexity written by Howard Straubing. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The study of the connections between mathematical automata and for mal logic is as old as theoretical computer science itself. In the founding paper of the subject, published in 1936, Turing showed how to describe the behavior of a universal computing machine with a formula of first order predicate logic, and thereby concluded that there is no algorithm for deciding the validity of sentences in this logic. Research on the log ical aspects of the theory of finite-state automata, which is the subject of this book, began in the early 1960's with the work of J. Richard Biichi on monadic second-order logic. Biichi's investigations were extended in several directions. One of these, explored by McNaughton and Papert in their 1971 monograph Counter-free Automata, was the characterization of automata that admit first-order behavioral descriptions, in terms of the semigroup theoretic approach to automata that had recently been developed in the work of Krohn and Rhodes and of Schiitzenberger. In the more than twenty years that have passed since the appearance of McNaughton and Papert's book, the underlying semigroup theory has grown enor mously, permitting a considerable extension of their results. During the same period, however, fundamental investigations in the theory of finite automata by and large fell out of fashion in the theoretical com puter science community, which moved to other concerns.

Finite Automata and Application to Cryptography

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Release : 2009-03-08
Genre : Computers
Kind : eBook
Book Rating : 575/5 ( reviews)

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Book Synopsis Finite Automata and Application to Cryptography by : Renji Tao

Download or read book Finite Automata and Application to Cryptography written by Renji Tao. This book was released on 2009-03-08. Available in PDF, EPUB and Kindle. Book excerpt: Finite Automata and Application to Cryptography mainly deals with the invertibility theory of finite automata and its application to cryptography. In addition, autonomous finite automata and Latin arrays, which are relative to the canonical form for one-key cryptosystems based on finite automata, are also discussed. Finite automata are regarded as a natural model for ciphers. The Ra Rb transformation method is introduced to deal with the structure problem of such automata; then public key cryptosystems based on finite automata and a canonical form for one-key ciphers implementable by finite automata with bounded-error-propagation and without data expansion are proposed. The book may be used as a reference for computer science and mathematics majors, including seniors and graduate students. Renji Tao is a Professor at the Institute of Software, Chinese Academy of Sciences, Beijing.

Finite Automata, Their Algebras and Grammars

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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.

Introduction to Automata Theory, Languages, and Computation

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Release : 2014
Genre : Computational complexity
Kind : eBook
Book Rating : 053/5 ( reviews)

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Book Synopsis Introduction to Automata Theory, Languages, and Computation by : John E. Hopcroft

Download or read book Introduction to Automata Theory, Languages, and Computation written by John E. Hopcroft. This book was released on 2014. Available in PDF, EPUB and Kindle. Book excerpt: This classic book on formal languages, automata theory, and computational complexity has been updated to present theoretical concepts in a concise and straightforward manner with the increase of hands-on, practical applications. This new edition comes with Gradiance, an online assessment tool developed for computer science. Please note, Gradiance is no longer available with this book, as we no longer support this product.

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