Theory of 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 Theory of Finite Automata write by John Carroll. This book was released on 1989. Theory of Finite Automata available in PDF, EPUB and Kindle.
Finite Automata, Formal Logic, and Circuit Complexity
Finite Automata, Formal Logic, and Circuit Complexity - 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, Formal Logic, and Circuit Complexity write by Howard Straubing. This book was released on 2012-12-06. Finite Automata, Formal Logic, and Circuit Complexity available in PDF, EPUB and Kindle. 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
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 both aspects, this book provides a well-motivated introduction to the mathematical theory of finite automata. The first half of Finite Automata focuses on the computer science side of the theory and culminates in Kleene's Theorem, which the author proves in a variety of ways to suit both computer scientists and mathematicians. In the second half, the focus shifts to the mathematical side of the theory and constructing an algebraic approach to languages. Here the author proves two main results: Schützenberger's Theorem on star-free languages and the variety theorem of Eilenberg and Schützenberger. Accessible even to students with only a basic knowledge of discrete mathematics, this treatment develops the underlying algebra gently but rigorously, and nearly 200 exercises reinforce the concepts. Whether your students' interests lie in computer science or mathematics, the well organized and flexible presentation of Finite Automata provides a route to understanding that you can tailor to their particular tastes and abilities.
Finite Automata, Their Algebras and Grammars
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 and Application to Cryptography
Finite Automata and Application to Cryptography - 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 and Application to Cryptography write by Renji Tao. This book was released on 2009-03-08. Finite Automata and Application to Cryptography available in PDF, EPUB and Kindle. 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.
