A particular universal cellular automaton

Abstract : Signals are a classical tool of cellular automata constructions that proved to be useful for language recognition or firing-squad synchronisation. Particles and collisions formalize this idea one step further, describing regular nets of colliding signals. In the present paper, we investigate the use of particles and collisions for constructions involving an infinite number of interacting particles. We obtain a high-level construction for a new smallest intrinsically universal cellular automaton with 4 states.
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https://hal.archives-ouvertes.fr/hal-00095821
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Submitted on : Monday, April 7, 2008 - 3:59:10 PM
Last modification on : Thursday, April 25, 2019 - 11:26:04 AM
Long-term archiving on : Friday, November 25, 2016 - 10:02:31 PM

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  • HAL Id : hal-00095821, version 2

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Nicolas Ollinger, Gaétan Richard. A particular universal cellular automaton. 2008. ⟨hal-00095821v2⟩

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