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arXiv · 1311.4297

On generalization of reversible second-order cellular automata

Alexander Yu. Vlasov
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Abstract

A cellular automaton with $n$ states may be used for construction of reversible second-order cellular automaton with $n^2$ states. Reversible cellular automata with hidden parameters discussed in this paper are generalization of such construction and may have number of states $N=n m$ with arbitrary $m$. Further modification produces reversible cellular automata with reduced number of states $N' < N = n m$.

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Alexander Yu. Vlasov. 2013-11-18. On generalization of reversible second-order cellular automata. https://arxiv.org/abs/1311.4297

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