Automata Networks
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Automata Networks
Author: C. Choffrut
language: en
Publisher: Springer Science & Business Media
Release Date: 1988-06-22
This volume contains the proceedings of the 14th Spring School of the LITP (Laboratoire d`Informatique Théorique et de Programmation, Université Paris VI-VII, CNRS) held May 12-16, 1986 in Argelès-Village on the French Catalan coast. This meeting was organized by C. Choffrut, M. Nivat, F. Robert, P. Sallé and gathered a hundred participants. The proceedings of the last two Spring Schools have already been published in this series and deal with "Automata on Infinite Words" (LNCS 192) and "Combinators and Functional Programming Languages" (LNCS 242). The purpose of this yearly meeting is to present the state of the art in a specific topic which has gained considerable maturity. The field chosen this year was the theory of automata networks. Though the content of this book is essentially restricted to computer science aspects of the topic, illustrations were given at the meeting on how the model of cellular automata could be used to solve problems in statistical, fluid and solid state mechanics. Applications to biology with growth models also exist.
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. They survey and extend the fundamental results in regard to automata networks, including the main decomposition theorems of Letichevsky, of Krohn and Rhodes, and of others.
Neural and Automata Networks
Author: E. Goles
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-03-07
"Et moi ..., si j'avait Sll comment en revenir. One sennce mathematics has rendered the human race. It has put common sense back je n'y serais point alle.' Jules Verne whe", it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be smse'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'!ltre of this series