A Particular Universal Cellular Automaton

Details A Particular Universal Cellular Automaton A Particular Universal Cellular Automaton

2009-06-17

arxiv.org/abs/0906.3227v1

EPTCS 1, 2009, pp. 205-214

Computer Science

Computational Complexity

Scientific paper

10.4204/EPTCS.1.20

Signals are a classical tool used in 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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