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Algebraic Theory of Automata Networks: A Introduction: An Introduction (Monographs on Discrete Mathematics and Applications) - Hardcover

Dõmõsi, Pál; Nehaniv, Chrystopher L.

 
9780898715699: Algebraic Theory of Automata Networks: A Introduction: An Introduction (Monographs on Discrete Mathematics and Applications)
Hardcover
ISBN 10: 0898715695 ISBN 13: 9780898715699
Publisher: Society for Industrial and Applied Mathematics, 2004

Synopsis

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.

"synopsis" may belong to another edition of this title.

Review

'This self-contained monograph covers the foundations of what is currently known about automata networks, giving the reader sufficient theoretical background to be at the forefront of research in many related areas.' Alexandra Kireeva, Mathematical Reviews

Book Description

Algebraic Theory of Automata Networks investigates automata networks as algebraic structures and develops their theory in line with other algebraic theories. The text summarizes the most important results of the past four decades regarding automata networks and presents new results discovered since the last book on this subject was published.

"About this title" may belong to another edition of this title.

Publisher
Society for Industrial and Applied Mathematics
Publication date
2004
Language
English
ISBN 10 
0898715695
ISBN 13 
9780898715699
Binding
Hardcover
Number of pages
270