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Theory of Computing Systems

, Volume 30, Issue 3, pp 223–229 | Cite as

Reaction-diffusion automata: Three states implies universality

  • E. Goles
  • M. Matamala
Article

Abstract

In this paper we study the class of reaction-diffusion automaton with three states (3-RDA). Namely, we prove that the dynamical behavior of a given neural network can be simulated by a 3-RDA. Since arbitrary neural networks may simulate Turing machines, the class of all 3-RDA is universal.

Keywords

Neural Network Forest Fire Turing Machine Discrete Dynamical System Logical Calculus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc 1997

Authors and Affiliations

  • E. Goles
    • 1
  • M. Matamala
    • 1
  1. 1.Departamento de Ingenería Matemática, Facultad de Ciencias Físicas y MatemáticasUniversidad de ChileSantiagoChile

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