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arXiv · 1001.5471

Bulking II: Classifications of Cellular Automata

Marianne Delorme·Jacques Mazoyer·Nicolas Ollinger·Guillaume Theyssier
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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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Marianne Delorme, Jacques Mazoyer, Nicolas Ollinger, Guillaume Theyssier. 2010-09-24. Bulking II: Classifications of Cellular Automata. https://arxiv.org/abs/1001.5471

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