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Article Dans Une Revue Theoretical Computer Science Année : 2000

Reversible space–time simulation of cellular automata

Résumé

The goal of this paper is to design a reversible $d$-dimensional cellular automaton which is capable of simulating the behavior of any given $d$-dimensional cellular automaton over any given configuration (even infinite) with respect to a well suited notion of simulation we introduce. We generalize a problem which was originally addressed in a paper by Toffoli in $1977$. He asked whether a $d$-dimensional reversible cellular automaton could simulate $d$-dimensional cellular automata. In the same paper he proved that there exists a $d{+}1$-dimensional reversible cellular automaton which can simulate a given $d$-dimensional cellular automaton. To prove our result, we use as an intermediate model partition cellular automata defined by Morita et al. in 1989.

Dates et versions

hal-03277188 , version 1 (02-07-2021)

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Jérôme Durand-Lose. Reversible space–time simulation of cellular automata. Theoretical Computer Science, 2000, 246 (1-2), pp.117-129. ⟨10.1016/S0304-3975(99)00075-4⟩. ⟨hal-03277188⟩
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