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Algebraic Theory of Automata Networks: An Introduction <br />
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Type.................: Ebook<br />
Part Size............: 15,861,063 bytes<br />
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Posted by............: ~tqw~<br />
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Release Notes<br />
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Algebraic Theory of Automata Networks investigates automata networks as <br />
algebraic structures and develops their theory in line with other algebraic <br />
theories, such as those of semigroups, groups, rings, and fields. The authors <br />
also investigate automata networks as products of automata, that is, as <br />
compositions of automata obtained by cascading without feedback or with feedback <br />
of various restricted types or, most generally, with the feedback dependencies <br />
controlled by an arbitrary directed graph. This self-contained book surveys and <br />
extends the fundamental results in regard to automata networks, including the <br />
main decomposition theorems of Letichevsky, of Krohn and Rhodes, and of others<br />
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Table Of Contents<br />
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Preface and Overview<br />
Chapter 1: Preliminaries<br />
Chapter 2: Directed Graphs, Automata, and Automata Networks<br />
Chapter 3: KrohnRhodes Theory and Complete Classes<br />
Chapter 4: Without Letichevsky's Criterion<br />
Chapter 5: Letichevsky's Criterion<br />
Chapter 6: Primitive Products and Temporal Products <br />
Chapter 7: Finite State-Homogeneous Automata Networks and Asynchronous Automata <br />
Networks<br />
Bibliography<br />
Index<br />
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Product Details<br />
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* ISBN: 0898715695<br />
* ISBN-13: 9780898715699<br />
* Format: Hardcover, 270pp<br />
* Publisher: SIAM<br />
* Pub. Date: December 2004<br />
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