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Finite Automata
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Download or read book Finite Automata written by Mark V. Lawson and published by CRC Press. This book was released on 2003-09-17 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 235 pages. 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.
Book Synopsis Theory of Finite Automata by : John Carroll
Download or read book Theory of Finite Automata written by John Carroll and published by . This book was released on 1989 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 and published by Springer Science & Business Media. This book was released on 2009-03-08 with total page 411 pages. 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.
Book Synopsis Finite Automata; Behavior and Synthesis by : Boris Avraamovich Trakhtenbrot
Download or read book Finite Automata; Behavior and Synthesis written by Boris Avraamovich Trakhtenbrot and published by North-Holland. This book was released on 1973 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 335 pages. 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.
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 and published by . This book was released on 2014 with total page 488 pages. 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.
Book Synopsis Problem Solving in Automata, Languages, and Complexity by : Ding-Zhu Du
Download or read book Problem Solving in Automata, Languages, and Complexity written by Ding-Zhu Du and published by John Wiley & Sons. This book was released on 2004-04-05 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automata and natural language theory are topics lying at the heart of computer science. Both are linked to computational complexity and together, these disciplines help define the parameters of what constitutes a computer, the structure of programs, which problems are solvable by computers, and a range of other crucial aspects of the practice of computer science. In this important volume, two respected authors/editors in the field offer accessible, practice-oriented coverage of these issues with an emphasis on refining core problem solving skills.
Book Synopsis Automata and Computability by : Dexter C. Kozen
Download or read book Automata and Computability written by Dexter C. Kozen and published by Springer. This book was released on 2013-11-11 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are my lecture notes from CS381/481: Automata and Computability Theory, a one-semester senior-level course I have taught at Cornell Uni versity for many years. I took this course myself in thc fall of 1974 as a first-year Ph.D. student at Cornell from Juris Hartmanis and have been in love with the subject ever sin,:e. The course is required for computer science majors at Cornell. It exists in two forms: CS481, an honors version; and CS381, a somewhat gentler paced version. The syllabus is roughly the same, but CS481 go es deeper into thc subject, covers more material, and is taught at a more abstract level. Students are encouraged to start off in one or the other, then switch within the first few weeks if they find the other version more suitaLle to their level of mathematical skill. The purpose of t.hc course is twofold: to introduce computer science students to the rieh heritage of models and abstractions that have arisen over the years; and to dew!c'p the capacity to form abstractions of their own and reason in terms of them.
Book Synopsis A Textbook on Automata Theory by : P. K. Srimani
Download or read book A Textbook on Automata Theory written by P. K. Srimani and published by Cambridge India. This book was released on 2007-09 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Textbook on Automata Theory has been designed for students of computer science. Adopting a comprehensive approach to the subject, the book presents various concepts with adequate explanations. The logical and structured treatment of the subject promotes better understanding and assimilation. Lucid and well-structured presentation makes the book user-friendly. The book cover the curricula for M.C.A., B.E.(Computer Science) and M.Sc. (Computer Science) at various universities and gives students a strong foundation for advanced studies in the field. Key features: . A wide array of solved examples and applications . Numerous illustrations supporting theoretical inputs . Exercises at the end of each chapter for practice . Notation for describing machine models . A brief history of mathematicians and computer scientists
Book Synopsis Regular Algebra and Finite Machines by : John Horton Conway
Download or read book Regular Algebra and Finite Machines written by John Horton Conway and published by Courier Corporation. This book was released on 2012-09-16 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: A world-famous mathematician explores Moore's theory of experiments, Kleene's theory of regular events and expressions, differential calculus of events, the factor matrix, theory of operators, much more. Solutions. 1971 edition.
Download or read book Finite Automata written by A. de Vries and published by Elsevier. This book was released on 2014-06-28 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dictionary supplies associations which have been evoked by certain words, signs, etc. in Western civilization in the past, and which may float to the surface again tomorrow; for however 'daringly new' a modern use of imagery may look, it generally appears to have roots in what has been said and done in the past. No fine distinctions have been made between symbols (in the limited sense), allegories, metaphors, signs, types, images, etc. (not to mention 'ascending' and 'descending' symbols), since such subtle distinctions, however sensible from a scientific point of view, are useless to a person struggling with the deeper comprehension (and thus appreciation) of a particular 'symbol'.
Book Synopsis New Results on Semilinear Sets and Variants of Jumping Finite Automata by : Simon Beier
Download or read book New Results on Semilinear Sets and Variants of Jumping Finite Automata written by Simon Beier and published by Logos Verlag Berlin GmbH. This book was released on 2020-11-09 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: In formal language theory, the Parikh-image describes the absolute frequencies of symbols in words of a given language. The Parikh-images of regular languages are the same as the ones of context-free languages. These kinds of sets are called semilinear. Another algebraically defined class of sets has played an important role since the early days of formal language theory: recognizable subsets of monoids are a generalization of regular languages. A set is recognizable if and only if its syntactic monoid is finite. The first part of this monograph gives new results on semilinear sets. The descriptional complexity of operations is investigated. Semirecognizable subsets of monoids are introduced. Semirecognizability demands that the projection of the subset to its syntactic monoid is finite. The semirecognizable subsets of finitely generated free commutative monoids, which form a proper subset of the semilinear sets, are studied. Connections to rational cones enable the use of geometric methods. Jumping finite automata are a model for discontinuous information processing that has attracted interest for some years. Their operational state complexity and a variant called right one-way jumping finite automata are explored in the second part. We show that a permutation closed language is accepted by this variant if and only if it is semirecognizable. Results from the first part are used to get a better insight into these devices.
Book Synopsis An Introduction to Formal Languages and Automata by : Peter Linz
Download or read book An Introduction to Formal Languages and Automata written by Peter Linz and published by Jones & Bartlett Publishers. This book was released on 1997 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Formal Languages & Automata provides an excellent presentation of the material that is essential to an introductory theory of computation course. The text was designed to familiarize students with the foundations & principles of computer science & to strengthen the students' ability to carry out formal & rigorous mathematical argument. Employing a problem-solving approach, the text provides students insight into the course material by stressing intuitive motivation & illustration of ideas through straightforward explanations & solid mathematical proofs. By emphasizing learning through problem solving, students learn the material primarily through problem-type illustrative examples that show the motivation behind the concepts, as well as their connection to the theorems & definitions.
Book Synopsis Automata Theory and its Applications by : Bakhadyr Khoussainov
Download or read book Automata Theory and its Applications written by Bakhadyr Khoussainov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Theory Of Automata, Formal Languages And Computation (As Per Uptu Syllabus) by : S.P.Eugene Xavier
Download or read book Theory Of Automata, Formal Languages And Computation (As Per Uptu Syllabus) written by S.P.Eugene Xavier and published by New Age International. This book was released on 2005 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Book Is Aimed At Providing An Introduction To The Basic Models Of Computability To The Undergraduate Students. This Book Is Devoted To Finite Automata And Their Properties. Pushdown Automata Provides A Class Of Models And Enables The Analysis Of Context-Free Languages. Turing Machines Have Been Introduced And The Book Discusses Computability And Decidability. A Number Of Problems With Solutions Have Been Provided For Each Chapter. A Lot Of Exercises Have Been Given With Hints/Answers To Most Of These Tutorial Problems.
Book Synopsis Elements of Automata Theory by : Jacques Sakarovitch
Download or read book Elements of Automata Theory written by Jacques Sakarovitch and published by Cambridge University Press. This book was released on 2009-10-01 with total page 922 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automata theory lies at the foundation of computer science, and is vital to a theoretical understanding of how computers work and what constitutes formal methods. This treatise gives a rigorous account of the topic and illuminates its real meaning by looking at the subject in a variety of ways. The first part of the book is organised around notions of rationality and recognisability. The second part deals with relations between words realised by finite automata, which not only exemplifies the automata theory but also illustrates the variety of its methods and its fields of application. Many exercises are included, ranging from those that test the reader, to those that are technical results, to those that extend ideas presented in the text. Solutions or answers to many of these are included in the book.
