Automata Theory with Modern Applications

James A. Anderson

doi:10.1017/CBO9780511607202

Recent applications to biomolecular science and DNA computing have created a new audience for automata theory and formal languages. This is the only introductory book to cover such applications. It begins with a clear and readily understood exposition of the fundamentals that assumes only a background in discrete mathematics. The first five chapters give a gentle but rigorous coverage of basic ideas as well as topics not found in other texts at this level, including codes, retracts and semiretracts. Chapter 6 introduces combinatorics on words and uses it to describe a visually inspired approach to languages. The final chapter explains recently-developed language theory coming from developments in bioscience and DNA computing. With over 350 exercises (for which solutions are available), many examples and illustrations, this text will make an ideal contemporary introduction for students; others, new to the field, will welcome it for self-learning.

'Anderson's book gives an excellent, clearly written account of automata theory.'

Source: SIAM Review

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Automata Theory with Modern Applications

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Preface
pp vii-viii

1 - Introduction
pp 1-22

2 - Languages and codes
pp 23-36

3 - Automata
pp 37-113

4 - Grammars
pp 114-168

5 - Turing machines
pp 169-209

6 - A visual approach to formal languages
pp 210-230

7 - From biopolymers to formal language theory
pp 231-244

Appendix A - Cardinality
pp 245-246

Appendix B - Co-compactness Lemma
pp 247-248

References
pp 249-250

Further reading
pp 251-252

Index
pp 253-255

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