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Book Cover
E-book
Author Anderson, James A. (James Andrew), 1937-

Title Automata theory with modern applications / James A. Anderson ; with contributions by Tom Head
Published Cambridge ; New York : Cambridge University Press, 2006

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Description 1 online resource (viii, 255 pages) : illustrations
Contents Cover -- Title -- Copyright -- Contents -- Preface -- 1 Introduction -- 1.1 Sets -- 1.2 Relations -- 1.3 Functions -- 1.4 Semigroups -- 2 Languages and codes -- 2.1 Regular languages -- 2.2 Retracts (Optional) -- 2.3 Semiretracts and lattices (Optional) -- 3 Automata -- 3.1 Deterministic and nondeterministic automata -- 3.2 Kleene's Theorem -- 3.3 Minimal deterministic automata and syntactic monoids -- Procedure -- 3.4 Pumping Lemma for regular languages -- 3.5 Decidability -- 3.6 Pushdown automata -- 3.7 Mealy and Moore machines -- 4 Grammars -- 4.1 Formal grammars -- 4.2 Chomsky normal form and Greibach normal form -- 4.3 Pushdown automata and context-free languages -- 4.4 The Pumping Lemma and decidability -- 5 Turing machines -- 5.1 Deterministic Turing machines -- 5.2 Nondeterministic Turing machines and acceptance of context-free languages -- 5.3 The halting problem for Turing machines -- 5.4 Undecidability problems for context-free languages -- 6 A visual approach to formal languages -- 6.1 Introduction -- 6.2 A minimal taste of word combinatorics -- 6.3 The spectrum of a word with respect to a language -- 6.4 The spectral partition of Sigma+ and the support of L -- 6.5 Visualizing languages -- 6.6 The sketch parameters of a language -- 6.7 Flag languages -- 6.8 Additional tools from word combinatorics -- 6.9 Counting primitive words in a regular language -- 6.10 Algorithmic sketching of regular languages -- 7 From biopolymers to formal language theory -- 7.1 Introduction -- 7.2 Constructing new words by splicing together pairs of existing words -- 7.3 The motivation from molecular biology -- 7.4 Splicing rules, schemes, systems, and languages -- 7.5 Every splicing language is a regular language -- 7.6 The syntactic monoid of a regular language L allows an effective determination of the set of all splicing rules that respect L -- 7.7 It is algorithmically decidable whether a given regular language is a reflexive splicing language -- Appendix A: Cardinality -- Appendix B: Co-compactness Lemma -- References -- Further reading -- Index
Summary Recent applications to bioscience have created a new audience for automata theory and formal languages. This is the only introduction to cover such applications. With over 350 exercises, many examples and illustrations, this is an ideal contemporary introduction for students; others, new to the field, will welcome it for self-learning
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Machine theory.
Formal languages.
Molecular computers.
Machine theory -- Problems, exercises, etc
Formal languages -- Problems, exercises, etc
Molecular computers -- Problems, exercises, etc
COMPUTERS -- Machine Theory.
Formal languages
Machine theory
Molecular computers
Genre/Form Electronic books
Problems and exercises
Form Electronic book
Author Head, Thomas J., 1934-
ISBN 9780511648564
0511648561
0511224354
9780511224355
0511225024
9780511225024
9780511607202
0511607202
9780521848879
0521848873
9780521613248
0521613248