A study of Inverse Ultra-discretization of cellular automata
Cellular Automata and Lattice Gases
2018-04-05 v1
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.
Keywords
Cite
@article{arxiv.1804.01089,
title = {A study of Inverse Ultra-discretization of cellular automata},
author = {Norihito Toyota},
journal= {arXiv preprint arXiv:1804.01089},
year = {2018}
}