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Algebraic Theory of Automata Networks An Introduction~tqw~ darksiderg

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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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Release Notes
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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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