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A study of Inverse Ultra-discretization of cellular automata (1804.01089v1)
Published 3 Apr 2018 in nlin.CG
Abstract: In this article, I propose a systematic method for the inverse ultra-discretization of cell automata using a functionally complete operation. We derive difference equations for the 256 kinds of elementary cellular automata(ECA) introduced Wolfram\cite{wolfram} by the proposed means of the inverse ultra-discretization. We show that the behaviors of ECAs can be completely reproduced by numerically solving the obtained difference equations.
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