Automata Theory and its Applications: 21 (Progress in Computer Science and Applied Logic, 21) - Softcover

Khoussainov, Bakhadyr; Nerode, Anil

Softcover

ISBN 10: 1461266459 ISBN 13: 9781461266457

Publisher: Birkhäuser, 2012

Synopsis

Uniform treatment of the theory of finite state machines on finite and infinite strings and trees. Many books deal with automata on finite strings, but there are very few expositions that prove the fundamental results of automata on infinite strings and trees. Beginning with coverage of all standard fundamental results regarding finite automata, the book deals in great detail with Büchi and Rabin automata and their applications to various logical theories such as S1S and S2S, and describes game-theoretic models of concurrent operating and communication systems. Self-contained with numerous examples, illustrations, exercises. Suitable for a two-semester undergraduate course for computer science or math majors, or for a one-semester graduate course/seminar. No advanced mathematical background is required, thus the text is also useful for self-study by computer science professionals who wish to understand the foundations of modern formal approaches to software development, validation, and verification.

About this title

Product Description

Automata Theory and its Applications is a uniform treatment of the theory of finite state machines on finite and infinite strings and trees. Many books deal with automata on finite strings, but there are very few expositions that prove the fundamental results of automata on infinite strings and trees. These results have important applications to modeling parallel computation and concurrency, the specification and verification of sequential and concurrent programs, databases, operating systems, computational complexity, and decision methods in logic and algebra. Thus, this textbook fills an important gap in the literature by exposing early fundamental results in automata theory and its applications. Beginning with coverage of all standard fundamental results regarding finite automata, the book deals in great detail with Buchi and Rabin automata and their applications to various logical theories such as S1S and S2S, and describes game-theoretic models of concurrent operating and communication systems. The book is self-contained with numerous examples, illustrations, exercises, and is suitable for a two-semester undergraduate course for computer science or mathematics majors, or for a one-semester graduate course/seminar. Since no advanced mathematical background is required, the text is also useful for self-study by computer science professionals who wish to understand the foundations of modern formal approaches to software development, validation, and verification.

Review

"The aim of this book is to present a theory of several types of automata and applications of these facts in logic, concurrency and algebra. ...The book contains suitable material for a two-semester course for students of computer science or mathematics. It is completely self-contained and one can really enjoy reading it. It is strongly recommended for researchers and postgraduate students interested in logic, automata and/or concurrency."

--EMS

Edition details

• Publisher: Birkhäuser
• Publication date: 2012
• Language: English
• ISBN 10: 1461266459
• ISBN 13: 9781461266457
• Binding: Paperback
• Number of pages: 446