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- W2007046274 abstract "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." @default.
- W2007046274 created "2016-06-24" @default.
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- W2007046274 date "2000-09-01" @default.
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- W2007046274 title "Reversible space–time simulation of cellular automata" @default.
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- W2007046274 doi "https://doi.org/10.1016/s0304-3975(99)00075-4" @default.
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