Reversible cellular automaton able to simulate any other reversible one using partitioning automata

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Abstract

Partitioning automata (PA) are defined. They are equivalent to cellular automata (CA). Reversible sub-classes are also equivalent. A simple, reversible and universal partitioning automaton is described. Finally, it is shown that there are reversible PA and CA that are able to simulate any reversible PA or CA on any configuration.

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Durand-Lose, J. O. (1995). Reversible cellular automaton able to simulate any other reversible one using partitioning automata. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 911, pp. 230–244). Springer Verlag. https://doi.org/10.1007/3-540-59175-3_92

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