Noncommutative Rational Series with Applications (Encyclopedia of Mathematics and its Applications, Series Number 137) - Hardcover

Berstel, Jean; Reutenauer, Christophe

Hardcover

ISBN 10: 0521190223 ISBN 13: 9780521190220

Publisher: Cambridge University Press, 2010

Synopsis

The algebraic theory of automata was created by Schützenberger and Chomsky over 50 years ago and there has since been a great deal of development. Classical work on the theory to noncommutative power series has been augmented more recently to areas such as representation theory, combinatorial mathematics and theoretical computer science. This book presents to an audience of graduate students and researchers a modern account of the subject and its applications. The algebraic approach allows the theory to be developed in a general form of wide applicability. For example, number-theoretic results can now be more fully explored, in addition to applications in automata theory, codes and non-commutative algebra. Much material, for example, Schützenberger's theorem on polynomially bounded rational series, appears here for the first time in book form. This is an excellent resource and reference for all those working in algebra, theoretical computer science and their areas of overlap.

About this title

About the Authors

Jean Berstel is Emeritus Professor of Computer Science in the Gaspard-Monge Institute at Université Paris-Est, France.

Christophe Reutenauer is Professor of Mathematics in the Department of Mathematics at Université du Québec à Montréal.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2010
• Language: English
• ISBN 10: 0521190223
• ISBN 13: 9780521190220
• Binding: Hardcover
• Number of pages: 262