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, 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, 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.
Introduction to Automata Theory, Languages, and Computation
Introduction to Automata Theory, Languages, and Computation - 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 Introduction to Automata Theory, Languages, and Computation write by John E. Hopcroft. This book was released on 2014. Introduction to Automata Theory, Languages, and Computation available in PDF, EPUB and Kindle. 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.
Automata Theory and its Applications
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.
