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Automata Theory
BOOK DETAIL
Hardcover: 428 pages Publisher: World Scientific Publishing Company; 1st edition (July 15, 1999)
Language: English ISBN-10: 9810237537 ISBN-13: 978-9810237530 Product Dimensions: 7 x 1.2 x 10.2
inches Shipping Weight: 2 pounds (View shipping rates and policies) Customer Reviews: 5.0 out of 5 stars1
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Book Description
This book covers substantially the central ideas of a one semester course in automata theory. It is
oriented towards a mathematical perspective that is understandable to non-mathematicians.
Comprehension is greatly aided by many examples, especially on the Chomsky -- Schützenberger
theorem, which is not found in most books in this field. Special attention is given to semiautomata
theory: the relationship between semigroups and sequential machines (including Green's
relations), Schützenberger's maximal subgroup, von Neumann inverses, wreath products,
transducers using matrix notation, shuffle and Kronecker shuffle products. Methods of formal
power series, the ambiguity index and linear languages are discussed. Core material includes
finite state automata, regular expressions, Kleene's theorem, Chomsky's hierarchy and
transformations of grammars. Ambiguous grammars (not limited to context-free grammars) and
modal logics are briefly discussed. Turing machine variants with many examples, pushdown
automata and their state transition diagrams and parsers, linear-bounded automata/2-PDA and
Kuroda normal form are also discussed. A brief study of Lindenmeyer systems is offered as a
comparison to the theory of Chomsky.

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