Semigroups, Formal Languages and Groups: 466 (Nato Science Series C:, 466) - Hardcover

Hardcover

ISBN 10: 0792335406 ISBN 13: 9780792335405

Publisher: Kluwer Academic Publishers, 1995

Synopsis

This volume presents the core of invited expository lectures given at the 1993 NATO ASI held at the University of York. The subject matter of the ASI was the interplay between automata, semigroups, formal languages and groups. The invited talks were of an introductory nature but at a high level and many reached the cutting edge of research in the area. The lectures were given to a mixed group of students and specialists and were designed to be accessible to a broad audience. The papers were written in a similar spirit in the hope that their readership will be as wide as possible. With one exception they are all based on the talks which the lecturers gave at the meeting. The exception is caused by the fact that due to unanticipated progress the topic of John Rhodes' talk is now in such a state of flux that it has not been possible to produce a paper giving a clear picture of the situation. However, we do include an article by a member of the "Rhodes school" , namely Christopher Nehaniv, expanding on a contributed talk he gave. It generalizes the celebrated Krohn-Rhodes theorem for finite semigroups to all semigroups. For many years there has been a strong link between formal language theory and the theory of semigroups. Each subject continues to influence the other.

About this title

Product Description

Semigroups, Formal Languages and Groups Proceedings of the NATO Advanced Study Institute, University of York, U.K., 7--21 August 1993

Synopsis

This volume contains articles that provide introductory accounts of recent research in rational languages and their connections with finite semigroups, including the celebrated BG=PG theorem, infinite languages, free profinite monoids and their applications to pseudovarieties, parallel complexity classes related to automata, semigroups and logic, algebraic monoids, geometric methods in semigroup presentations, automatic groups and groups acting on -trees. There is also an extensive survey of algorithm ic problems in groups, semigroups and inverse monoids. In addition, the book includes hitherto unpublished research on monoids of Lie type and their representations, free actions of groups on -trees and an extension to arbitrary semigroups of the famous Krohn-Rhodes theorem.

Edition details

• Publisher: Kluwer Academic Publishers
• Publication date: 1995
• Language: English
• ISBN 10: 0792335406
• ISBN 13: 9780792335405
• Binding: Hardcover
• Number of pages: 437
• Editor: Fountain J.B.