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arxiv: cs/0412013 · v1 · submitted 2004-12-03 · 💻 cs.CC · cs.DC· cs.DM· math.CO

Signals for Cellular Automata in dimension 2 or higher

classification 💻 cs.CC cs.DCcs.DMmath.CO
keywords dimensionautomatacellularsignalsincreasingallowsarrayconstructible
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We investigate how increasing the dimension of the array can help to draw signals on cellular automata.We show the existence of a gap of constructible signals in any dimension. We exhibit two cellular automata in dimension 2 to show that increasing the dimension allows to reduce the number of states required for some constructions.

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