Theory Of Automata

Author : Bakhadyr Khoussainov,Anil Nerode
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461201717

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Automata Theory and its Applications by Bakhadyr Khoussainov,Anil Nerode Pdf

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.

Author : John E. Hopcroft,Rajeev Motwani,Jeffrey D. Ullman
Publisher : Unknown
Page : 488 pages
File Size : 44,9 Mb
Release : 2014
Category : Computational complexity
ISBN : 1292039051

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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 : Arto Salomaa
Publisher : Elsevier
Page : 276 pages
File Size : 54,5 Mb
Release : 2014-07-10
Category : Reference
ISBN : 9781483154398

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Theory of Automata by Arto Salomaa Pdf

Theory of Automata deals with mathematical aspects of the theory of automata theory, with emphasis on the finite deterministic automaton as the basic model. All other models, such as finite non-deterministic and probabilistic automata as well as pushdown and linear bounded automata, are treated as generalizations of this basic model. The formalism chosen to describe finite deterministic automata is that of regular expressions. A detailed exposition regarding this formalism is presented by considering the algebra of regular expressions. This volume is comprised of four chapters and begins with a discussion on finite deterministic automata, paying particular attention to regular and finite languages; analysis and synthesis theorems; equivalence relations induced by languages; sequential machines; sequential functions and relations; definite languages and non-initial automata; and two-way automata. The next chapter describes finite non-deterministic and probabilistic automata and covers theorems concerning stochastic languages; non-regular stochastic languages; and probabilistic sequential machines. The book then introduces the reader to the algebra of regular expressions before concluding with a chapter on formal languages and generalized automata. Theoretical exercises are included, along with ""problems"" at the end of some sections. This monograph will be a useful resource for beginning graduate or advanced undergraduates of mathematics.

Author : S.P.Eugene Xavier
Publisher : New Age International
Page : 35 pages
File Size : 42,9 Mb
Release : 2005
Category : Computational complexity
ISBN : 9788122416558

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Theory Of Automata, Formal Languages And Computation (As Per Uptu Syllabus) by S.P.Eugene Xavier Pdf

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.

Author : Jacques Sakarovitch
Publisher : Cambridge University Press
Page : 922 pages
File Size : 53,9 Mb
Release : 2009-10-01
Category : Mathematics
ISBN : 9781139643795

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Elements of Automata Theory by Jacques Sakarovitch Pdf

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.

Author : Wladyslaw Homenda,Witold Pedrycz
Publisher : Walter de Gruyter GmbH & Co KG
Page : 234 pages
File Size : 45,6 Mb
Release : 2022-01-19
Category : Computers
ISBN : 9783110752311

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Automata Theory and Formal Languages by Wladyslaw Homenda,Witold Pedrycz Pdf

The book is a concise, self-contained and fully updated introduction to automata theory – a fundamental topic of computer sciences and engineering. The material is presented in a rigorous yet convincing way and is supplied with a wealth of examples, exercises and down-to-the earth convincing explanatory notes. An ideal text to a spectrum of one-term courses in computer sciences, both at the senior undergraduate and graduate students.

Author : Daniel I. A. Cohen
Publisher : John Wiley & Sons
Page : 661 pages
File Size : 48,7 Mb
Release : 1996-10-25
Category : Computers
ISBN : 9780471137726

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Introduction to Computer Theory by Daniel I. A. Cohen Pdf

This text strikes a good balance between rigor and an intuitive approach to computer theory. Covers all the topics needed by computer scientists with a sometimes humorous approach that reviewers found "refreshing". It is easy to read and the coverage of mathematics is fairly simple so readers do not have to worry about proving theorems.

Author : Abraham Ginzburg
Publisher : Academic Press
Page : 176 pages
File Size : 46,8 Mb
Release : 2014-06-25
Category : Technology & Engineering
ISBN : 9781483225166

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Algebraic Theory of Automata by Abraham Ginzburg Pdf

Algebraic Theory of Automata provides information pertinent to the methods and results of algebraic theory of automata. This book covers a variety of topics, including sets, semigroup, groupoids, isomorphism, semiautomata, proof of Kleene's theorem, and algebraic manipulations. Organized into seven chapters, this book begins with an overview of the fundamental properties of groups and semigroups. This text then examines the notion of semiautomaton, which serves as a basis for a rich and interesting theory. Other chapters consider algebraic notions and methods that are very useful in dealing with semiautomata. This book discusses as well some properties of the notion of covering of semiautomata. The final chapter deals with the theory of Krohn and Rhodes. This book is a valuable resource for graduate students.

Author : Anand Sharma
Publisher : Firewall Media
Page : 540 pages
File Size : 47,5 Mb
Release : 2006
Category : Electronic
ISBN : 8170089492

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Theory of Automata and Formal Languages by Anand Sharma Pdf

Author : Michał Skrzypczak
Publisher : Springer
Page : 211 pages
File Size : 54,6 Mb
Release : 2016-08-05
Category : Mathematics
ISBN : 9783662529478

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Descriptive Set Theoretic Methods in Automata Theory by Michał Skrzypczak Pdf

The book is based on the PhD thesis “Descriptive Set Theoretic Methods in Automata Theory,” awarded the E.W. Beth Prize in 2015 for outstanding dissertations in the fields of logic, language, and information. The thesis reveals unexpected connections between advanced concepts in logic, descriptive set theory, topology, and automata theory and provides many deep insights into the interplay between these fields. It opens new perspectives on central problems in the theory of automata on infinite words and trees and offers very impressive advances in this theory from the point of view of topology. "...the thesis of Michał Skrzypczak offers certainly what we expect from excellent mathematics: new unexpected connections between a priori distinct concepts, and proofs involving enlightening ideas.” Thomas Colcombet.

Author : Masami It?
Publisher : World Scientific
Page : 210 pages
File Size : 51,9 Mb
Release : 2004
Category : Mathematics
ISBN : 9789810247270

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Algebraic Theory of Automata and Languages by Masami It? Pdf

Although there are some books dealing with algebraic theory of automata, their contents consist mainly of Krohn-Rhodes theory and related topics. The topics in the present book are rather different. For example, automorphism groups of automata and the partially ordered sets of automata are systematically discussed. Moreover, some operations on languages and special classes of regular languages associated with deterministic and nondeterministic directable automata are dealt with. The book is self-contained and hence does not require any knowledge of automata and formal languages.

Author : K. L. P. Mishra,N. CHANDRASEKARAN
Publisher : PHI Learning Pvt. Ltd.
Page : 437 pages
File Size : 54,7 Mb
Release : 2006-01-01
Category : Computers
ISBN : 9788120329683

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Theory of Computer Science by K. L. P. Mishra,N. CHANDRASEKARAN Pdf

This Third Edition, in response to the enthusiastic reception given by academia and students to the previous edition, offers a cohesive presentation of all aspects of theoretical computer science, namely automata, formal languages, computability, and complexity. Besides, it includes coverage of mathematical preliminaries. NEW TO THIS EDITION • Expanded sections on pigeonhole principle and the principle of induction (both in Chapter 2) • A rigorous proof of Kleene’s theorem (Chapter 5) • Major changes in the chapter on Turing machines (TMs) – A new section on high-level description of TMs – Techniques for the construction of TMs – Multitape TM and nondeterministic TM • A new chapter (Chapter 10) on decidability and recursively enumerable languages • A new chapter (Chapter 12) on complexity theory and NP-complete problems • A section on quantum computation in Chapter 12. • KEY FEATURES • Objective-type questions in each chapter—with answers provided at the end of the book. • Eighty-three additional solved examples—added as Supplementary Examples in each chapter. • Detailed solutions at the end of the book to chapter-end exercises. The book is designed to meet the needs of the undergraduate and postgraduate students of computer science and engineering as well as those of the students offering courses in computer applications.

Author : Elaine Rich
Publisher : Prentice Hall
Page : 1120 pages
File Size : 50,8 Mb
Release : 2008
Category : Computers
ISBN : 9780132288064

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Automata, Computability and Complexity by Elaine Rich Pdf

For upper level courses on Automata. Combining classic theory with unique applications, this crisp narrative is supported by abundant examples and clarifies key concepts by introducing important uses of techniques in real systems. Broad-ranging coverage allows instructors to easily customise course material to fit their unique requirements.

Author : Peter Linz
Publisher : Jones & Bartlett Publishers
Page : 408 pages
File Size : 53,9 Mb
Release : 1997
Category : Formal languages
ISBN : UOM:49015002666619

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An Introduction to Formal Languages and Automata by Peter Linz Pdf

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.

Author : Alexander Meduna
Publisher : Springer Science & Business Media
Page : 919 pages
File Size : 53,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781447105015

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Automata and Languages by Alexander Meduna Pdf

A step-by-step development of the theory of automata, languages and computation. Intended for use as the basis of an introductory course at both junior and senior levels, the text is organized so as to allow the design of various courses based on selected material. It features basic models of computation, formal languages and their properties; computability, decidability and complexity; a discussion of modern trends in the theory of automata and formal languages; design of programming languages, including the development of a new programming language; and compiler design, including the construction of a complete compiler. Alexander Meduna uses clear definitions, easy-to-follow proofs and helpful examples to make formerly obscure concepts easy to understand. He also includes challenging exercises and programming projects to enhance the reader's comprehension, and many 'real world' illustrations and applications in practical computer science.