Universitext

A Course in Formal Languages, Automata and Groups

Authors: Chiswell, Ian M.

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  • Most books on formal languages and automata are written for undergraduates in computer science; in contrast, this book provides a rigorous text aimed at the postgraduate-level mathematician with precise definitions and clear and succinct proofs
  • This book examines the interplay between group theory and formal languages and is the first to include an account of the significant Muller-Schupp theorem
  • Includes a clear account of deterministic, context-free languages and their connection with LR(k) grammars
  • A complete solutions manual is available to lecturers via the Web
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eBook $54.99
price for USA in USD (gross)
  • ISBN 978-1-84800-940-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-1-84800-939-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

Based on the author’s lecture notes for an MSc course, this text combines formal language and automata theory and group theory, a thriving research area that has developed extensively over the last twenty-five years.

The aim of the first three chapters is to give a rigorous proof that various notions of recursively enumerable language are equivalent. Chapter One begins with languages defined by Chomsky grammars and the idea of machine recognition, contains a discussion of Turing Machines, and includes work on finite state automata and the languages they recognise. The following chapters then focus on topics such as recursive functions and predicates; recursively enumerable sets of natural numbers; and the group-theoretic connections of language theory, including a brief introduction to automatic groups. Highlights include:

  • A comprehensive study of context-free languages and pushdown automata in Chapter Four, in particular a clear and complete account of the connection between LR(k) languages and deterministic context-free languages.
  • A self-contained discussion of the significant Muller-Schupp result on context-free groups.

Enriched with precise definitions, clear and succinct proofs and worked examples, the book is aimed primarily at postgraduate students in mathematics but will also be of great interest to researchers in mathematics and computer science who want to learn more about the interplay between group theory and formal languages.

A solutions manual is available to instructors via www.springer.com.

Reviews

From the reviews:

"This short work by Chiswell … covers formal languages, automata theory, and the word problem in group theory. This content is bound together by the unifying theme of what is known as Church’s thesis, which states that any desirable definition of computability should coincide with recursiveness. … Several appendixes serve as homes for … distracting proofs of results needed in the main body of the text, or for solutions to selected instances of the abundant exercises. Summing Up: Recommended. Academic readers, upper-division undergraduates through researchers/faculty." (F. E. J. Linton, Choice, Vol. 46 (11), 2009)


Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-1-84800-940-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-1-84800-939-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
A Course in Formal Languages, Automata and Groups
Authors
Series Title
Universitext
Copyright
2009
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-84800-940-0
DOI
10.1007/978-1-84800-940-0
Softcover ISBN
978-1-84800-939-4
Series ISSN
0172-5939
Edition Number
1
Number of Pages
IX, 157
Number of Illustrations
30 b/w illustrations
Topics