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Preprints, Working Papers, ... Year : 2010

Bulking II: Classifications of Cellular Automata


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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Dates and versions

hal-00451727 , version 1 (29-01-2010)
hal-00451727 , version 2 (24-09-2010)



Marianne Delorme, Jacques Mazoyer, Nicolas Ollinger, Guillaume Theyssier. Bulking II: Classifications of Cellular Automata. 2010. ⟨hal-00451727v2⟩
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