Finite Automata

Author : Mark V. Lawson
Publisher : CRC Press
Page : 324 pages
File Size : 53,5 Mb
Release : 2003-09-17
Category : Mathematics
ISBN : 1584882557

Get Book

Finite Automata by Mark V. Lawson Pdf

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.

Author : Howard Straubing
Publisher : Springer Science & Business Media
Page : 235 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461202899

Get Book

Finite Automata, Formal Logic, and Circuit Complexity by Howard Straubing Pdf

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.

Author : A. de Vries
Publisher : Elsevier
Page : 532 pages
File Size : 49,9 Mb
Release : 2014-06-28
Category : Language Arts & Disciplines
ISBN : 9781483297293

Get Book

Finite Automata by A. de Vries Pdf

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'.

Author : Simon Beier
Publisher : Logos Verlag Berlin GmbH
Page : 244 pages
File Size : 52,5 Mb
Release : 2020-11-09
Category : Computers
ISBN : 9783832552107

Get Book

New Results on Semilinear Sets and Variants of Jumping Finite Automata by Simon Beier Pdf

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.

Author : John Carroll,Darrell Long
Publisher : Unknown
Page : 456 pages
File Size : 48,5 Mb
Release : 1989
Category : Computers
ISBN : UOM:39015013480861

Get Book

Theory of Finite Automata by John Carroll,Darrell Long Pdf

Author : Renji Tao
Publisher : Springer Science & Business Media
Page : 411 pages
File Size : 40,5 Mb
Release : 2009-03-08
Category : Computers
ISBN : 9783540782575

Get Book

Finite Automata and Application to Cryptography by Renji Tao Pdf

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.

Author : John E. Hopcroft,Rajeev Motwani,Jeffrey D. Ullman
Publisher : Unknown
Page : 488 pages
File Size : 54,7 Mb
Release : 2014
Category : Computational complexity
ISBN : 1292039051

Get Book

Introduction to Automata Theory, Languages, and Computation by John E. Hopcroft,Rajeev Motwani,Jeffrey D. Ullman Pdf

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.

Author : Maxim Mozgovoy
Publisher : Jones & Bartlett Learning
Page : 359 pages
File Size : 43,6 Mb
Release : 2009-08-19
Category : Computers
ISBN : 9781449633233

Get Book

Algorithms, Languages, Automata, and Compilers: A Practical Approach by Maxim Mozgovoy Pdf

Algorithms, Languages, Automata, & Compilers A Practical Approach is designed to cover the standard “theory of computing” topics through a strong emphasis on practical applications rather than theorems and proofs. Finite automata, Turing machines, models of computation, complexity, solvability, and other topics that form a foundation of modern programming are discussed -first with a gentle theoretical orientation, and then applied through programming code and practical examples. JFLAP projects and applications are integrated throughout the book, and C# is used for all code.

Author : J. Richard Büchi
Publisher : Springer Science & Business Media
Page : 335 pages
File Size : 46,9 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781461388531

Get Book

Finite Automata, Their Algebras and Grammars by J. Richard Büchi Pdf

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.

Author : Ding-Zhu Du,Ker-I Ko
Publisher : John Wiley & Sons
Page : 405 pages
File Size : 52,7 Mb
Release : 2004-04-05
Category : Computers
ISBN : 9780471464082

Get Book

Problem Solving in Automata, Languages, and Complexity by Ding-Zhu Du,Ker-I Ko Pdf

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.

Author : Pallavi Vijay Chavan,Ashish Jadhav
Publisher : Academic Press
Page : 234 pages
File Size : 55,5 Mb
Release : 2023-04-28
Category : Mathematics
ISBN : 9780323972178

Get Book

Automata Theory and Formal Languages by Pallavi Vijay Chavan,Ashish Jadhav Pdf

Automata Theory and Formal Languages presents the difficult concepts of automata theory in a straightforward manner, including discussions on diverse concepts and tools that play major roles in developing computing machines, algorithms and code. Automata theory includes numerous concepts such as finite automata, regular grammar, formal languages, context free and context sensitive grammar, push down automata, Turing machine, and decidability, which constitute the backbone of computing machines. This book enables readers to gain sufficient knowledge and experience to construct and solve complex machines. Each chapter begins with key concepts followed by a number of important examples that demonstrate the solution. The book explains concepts and simultaneously helps readers develop an understanding of their application with real-world examples, including application of Context Free Grammars in programming languages and Artificial Intelligence, and cellular automata in biomedical problems. Presents the concepts of Automata Theory and Formal Languages in an easy-to-understand approach Helps the readers understand key concepts by solving real-world examples. Provides the readers with a simple approach to connect the theory with the latest trend like software testing, cybersecurity, artificial intelligence, and machine learning. Includes a wide coverage of applications of automata theory and formal languages.

Author : Nicholas Pippenger
Publisher : Cambridge University Press
Page : 268 pages
File Size : 47,8 Mb
Release : 1997-05-28
Category : Computers
ISBN : 0521553806

Get Book

Theories of Computability by Nicholas Pippenger Pdf

A mathematically sophisticated introduction to Turing's theory, Boolean functions, automata, and formal languages.

Author : DEBIDAS GHOSH
Publisher : PHI Learning Pvt. Ltd.
Page : 204 pages
File Size : 49,5 Mb
Release : 2013-08-21
Category : Computers
ISBN : 9788120348073

Get Book

INTRODUCTION TO THEORY OF AUTOMATA, FORMAL LANGUAGES, AND COMPUTATION by DEBIDAS GHOSH Pdf

The Theory of Computation or Automata and Formal Languages assumes significance as it has a wide range of applications in complier design, robotics, Artificial Intelligence (AI), and knowledge engineering. This compact and well-organized book provides a clear analysis of the subject with its emphasis on concepts which are reinforced with a large number of worked-out examples. The book begins with an overview of mathematical preliminaries. The initial chapters discuss in detail about the basic concepts of formal languages and automata, the finite automata, regular languages and regular expressions, and properties of regular languages. The text then goes on to give a detailed description of context-free languages, pushdown automata and computability of Turing machine, with its complexity and recursive features. The book concludes by giving clear insights into the theory of computability and computational complexity. This text is primarily designed for undergraduate (BE/B.Tech.) students of Computer Science and Engineering (CSE) and Information Technology (IT), postgraduate students (M.Sc.) of Computer Science, and Master of Computer Applications (MCA). Salient Features • One complete chapter devoted to a discussion on undecidable problems. • Numerous worked-out examples given to illustrate the concepts. • Exercises at the end of each chapter to drill the students in self-study. • Sufficient theories with proofs.

Author : Michael Domaratzki,Alexander Okhotin,Kai Salomaa,Sheng Yu
Publisher : Springer Science & Business Media
Page : 347 pages
File Size : 49,8 Mb
Release : 2005-01-31
Category : Computers
ISBN : 9783540243182

Get Book

Implementation and Application of Automata by Michael Domaratzki,Alexander Okhotin,Kai Salomaa,Sheng Yu Pdf

This book constitutes the thoroughly refereed post-proceedings of the 9th International Conference on Implementation and Application of Automata, CIAA 2004, held in Kingston, Canada in July 2004. The 25 revised full papers and 14 revised poster papers presented together with 2 invited contributions have gone through two rounds of reviewing and improvement. The topics covered range from applications of automata in natural language and speech processing to protein sequencing and gene compression, and from state complexity and new algorithms for automata operations to applications of quantum finite automata.

Author : Timo Lepistö,Arto Salomaa
Publisher : Springer Science & Business Media
Page : 762 pages
File Size : 53,7 Mb
Release : 1988
Category : Computers
ISBN : 3540194886

Get Book

Automata, Languages and Programming by Timo Lepistö,Arto Salomaa Pdf

This volume contains the proceedings of ICALP 88, held at Tampere University of Technology, Finland, July 11-15, 1988. ICALP 88 is the 15th International Colloquium on Automata, Languages and Programming in a series of meetings sponsored by the European Association for Theoretical Computer Science (EATCS). It is a broadly based conference covering all aspects of theoretical computer science including topics such as computability, automata, formal languages, analysis of algorithms, computational complexity, data types and data structures, theory of data bases and knowledge bases, semantics of programming languages, program specification, transformation and verification, foundations of logic programming, theory of logical design and layout, parallel and distributed computation, theory of concurrency, symbolic and algebraic computation, term rewriting systems, cryptography, and theory of robotics.