Algebraic Structures in Automata and Databases Theory

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World Scientific, 1992 - Mathematics - 280 pages
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The book is devoted to the investigation of algebraic structure. The emphasis is on the algebraic nature of real automation, which appears as a natural three-sorted algebraic structure, that allows for a rich algebraic theory. Based on a general category position, fuzzy and stochastic automata are defined. The final chapter is devoted to a database automata model. Database is defined as an algebraic structure and this allows us to consider theoretical problems of databases.
 

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Contents

PRELIMINARIES
1
PURE AUTOMATA
11
CONSTRUCTIONS AND DECOMPOSITION OF PURE AUTOMATA
73
LINEAR AUTOMATA
105
VARIETIES OF AUTOMATA
155
AUTOMATA MODEL OF DATABASE
237
BIBLIOGRAPHY
269
INDEX
277
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