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            Algebraic Theory of Automata Networks: An Introduction 

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Type.................: Ebook

Part Size............: 15,861,063 bytes









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Posted by............: ~tqw~



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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



Table Of Contents



Preface and Overview

Chapter 1: Preliminaries

Chapter 2: Directed Graphs, Automata, and Automata Networks

Chapter 3: KrohnRhodes Theory and Complete Classes

Chapter 4: Without Letichevsky\'s Criterion

Chapter 5: Letichevsky\'s Criterion

Chapter 6: Primitive Products and Temporal Products 

Chapter 7: Finite State-Homogeneous Automata Networks and Asynchronous Automata 

Networks

Bibliography

Index



Product Details



    * ISBN: 0898715695

    * ISBN-13: 9780898715699

    * Format: Hardcover, 270pp

    * Publisher: SIAM

    * Pub. Date: December 2004



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