Regular Algebra and Finite Machines

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ISBN: 9780486485836 | 0486485838
Cover: Paperback
Copyright: 7/17/2012

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A world-famous mathematician explores Moore's theory of experiments, Kleene's theory of regular events and expressions, Kleene algebras, the differential calculus of events, factors and the factor matrix, and the theory of operators. Additional subjects include context-free languages, communicative regular algebra, axiomatic questions, and logical problems. Solutions to problems. 1971 edition.

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Preface	p. vii
Preliminaries to the Moore Theory	p. 1
Moore's theory of experiments	p. 7
Bombs and detonators	p. 15
Kleene's theory of regular events and expressions	p. 24
Kleene algebras: the one-variable theorem	p. 34
The differential calculus of events	p. 41
Factors and the factor matrix	p. 47
The theory of operators: biregulators	p. 56
Event classes and operator classes	p. 65
Some regulator algebras	p. 71
Context-free languages	p. 79
Commutative regular algebra	p. 91
Some axiomatic questions	p. 100
The strength of the classical axioms	p. 109
Some computational techniques	p. 120
Some logical problems	p. 130
Solutions to problems	p. 140
Index	p. 143
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Regular Algebra and Finite Machines

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