Abstract
In this paper, we deal with two-dimensional cellular automata. Our goal is to present a linear space and sub-linear time algorithm to embed a bounded finite torus, considered as a cellular space, into a ring of automata. Such an embedding has to preserve the neighborhood of the cells and to keep the periodicities of the torus. Finally, we generalize this result to torus of greater dimension.
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More From: International Journal of Foundations of Computer Science
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