Algebraic Theory of Automata Networks: A Introduction: 11 (Monographs on Discrete Mathematics and Applications, Series Number 11) - Hardcover
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.
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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.
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Algebraic Theory of Automata Networks An Introduction
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ISBN 13: 9780898715699
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Algebraic Theory of Automata Networks: A Introduction
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ISBN 10: 0898715695
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Algebraic Theory of Automata Networks
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ISBN 10: 0898715695
ISBN 13: 9780898715699
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Hardback. Condition: New. Algebraic Theory of Automata Networks investigates automata networks as algebraic structures and develops their theory in line with other algebraic theories, such as those of semigroups, groups, rings, and fields. The authors also investigate automata networks as products of automata, that is, as compositions of automata obtained by cascading without feedback or with feedback of various restricted types or, most generally, with the feedback dependencies controlled by an arbitrary directed graph. This self-contained book surveys and extends the fundamental results in regard to automata networks, including the main decomposition theorems of Letichevsky, of Krohn and Rhodes, and of others.It 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. It contains several new methods and special techniques not discussed in other books, 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. Seller Inventory # LU-9780898715699
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Algebraic Theory of Automata Networks
Published by
Society for Industrial and Applied Mathematics,U.S., US, 2004
ISBN 10: 0898715695
ISBN 13: 9780898715699
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Hardback. Condition: New. Algebraic Theory of Automata Networks investigates automata networks as algebraic structures and develops their theory in line with other algebraic theories, such as those of semigroups, groups, rings, and fields. The authors also investigate automata networks as products of automata, that is, as compositions of automata obtained by cascading without feedback or with feedback of various restricted types or, most generally, with the feedback dependencies controlled by an arbitrary directed graph. This self-contained book surveys and extends the fundamental results in regard to automata networks, including the main decomposition theorems of Letichevsky, of Krohn and Rhodes, and of others.It 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. It contains several new methods and special techniques not discussed in other books, 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. Seller Inventory # LU-9780898715699
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Algebraic Theory of Automata Networks: A Introduction (Monographs on Discrete Mathematics and Applications, Series Number 11)
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SIAM: Society for Industrial and Applied Mathemati, 2004
ISBN 10: 0898715695
ISBN 13: 9780898715699
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