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. Key words: cellular automata, bulking, grouping, classification

• Type: Journal
• Year: 2010
• Where: CORR
• Authors: Marianne Delorme, Jacques Mazoyer, Nicolas Ollinger, Guillaume Theyssier
• Keywords: Cellular Automata, CORR 2010, Education, Paper, Space-time Diagrams