[share_ebook] Algebraic Theory of Automata Networks (SIAM Monographs on Discrete Mathematics and Applications, 11) - Pal Domosi
Author: Pal Domosi
Date: December, 2004
Pages: 270
Publisher: SIAM: Society for Industrial and Applied Mathematics
Category: Study
Posted on 2012-02-08, by 4bookholic.
Algebraic Theory of Automata Networks (SIAM Monographs on Discrete Mathematics and Applications, 11)
Pal Domosi | SIAM: Society for Industrial and Applied Mathematics | December, 2004 | 270 pages | English | pdf
Algebraic Theory of Automata Networks investigates automata networks as algebraic structures and develops their theory in line with other algebraic theories. Automata networks are investigated as products of automata, and the fundamental results in regard to automata networks are surveyed and extended, including the main decomposition theorems of Letichevsky, and of Krohn and Rhodes. The text summarizes the most important results of the past four decades regarding automata networks and presents many new results discovered since the last book on this subject was published. Several new methods and special techniques are discussed, including characterization of homomorphically complete classes of automata under the cascade product; products of automata with semi-Letichevsky criterion and without any Letichevsky criteria; automata with control words; primitive products and temporal products; network completeness for digraphs having all loop edges; complete finite automata network graphs with minimal number of edges; and emulation of automata networks by corresponding asynchronous ones
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