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Communication Dans Un Congrès Année : 2010

Clandestine Simulations in Cellular Automata

Pierre Guillon
Pierre-Etienne Meunier
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Guillaume Theyssier

Résumé

This paper studies two kinds of simulation between cellular automata: simulations based on factor and simulations based on sub-automaton. We show that these two kinds of simulation behave in two opposite ways with respect to the complexity of attractors and factor subshifts. On the one hand, the factor simulation preserves the complexity of limits sets or column factors (the simulator CA must have a higher complexity than the simulated CA). On the other hand, we show that any CA is the sub-automaton of some CA with a simple limit set (NL-recognizable) and the sub-automaton of some CA with a simple column factor (finite type). As a corollary, we get intrinsically universal CA with simple limit sets or simple column factors. Hence we are able to 'hide' the simulation power of any CA under simple dynamical indicators.

Domaines

Autre [cs.OH]
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Dates et versions

hal-00541996 , version 1 (01-12-2010)

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  • HAL Id : hal-00541996 , version 1

Citer

Pierre Guillon, Pierre-Etienne Meunier, Guillaume Theyssier. Clandestine Simulations in Cellular Automata. Journées Automates Cellulaires 2010, Dec 2010, Turku, Finland. pp.133-144. ⟨hal-00541996⟩
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