Bulking II: Classifications of cellular automata

Abstract : This paper is the second part of a series of two papers dealing with bulking: a way to define quasi-order on cellular automata by comparing space-time diagrams up to rescaling. In the present paper, we introduce three notions of simulation between cellular automata and study the quasi-order structures induced by these simulation relations on the whole set of cellular automata. Various aspects of these quasi-orders are considered (induced equivalence relations, maximum elements, induced orders, etc.) providing several formal tools allowing to classify cellular automata.
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Submitted on : Thursday, April 17, 2014 - 6:50:08 PM
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Marianne Delorme, Jacques Mazoyer, Nicolas Ollinger, Guillaume Theyssier. Bulking II: Classifications of cellular automata. Theoretical Computer Science, Elsevier, 2011, 412 (30), pp.3881-3905. ⟨10.1016/j.tcs.2011.02.024⟩. ⟨hal-00980377⟩

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