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A Particular Universal Cellular Automaton

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 25 Jun 2009Embargo end date: 01 Jan 2009 English Publisher:Open Publishing AssociationJournal:Electronic Proceedings in Theoretical Computer Science, volume 1, pages 205-214 (eissn: 2075-2180, Copyright policy )
Authors: Nicolas Ollinger; Gaétan Richard;

doi: 10.4204/eptcs.1.20 , 10.48550/arxiv.0906.3227

arXiv: http://arxiv.org/abs/0906.3227

A Particular Universal Cellular Automaton

Abstract

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.

Keywords

FOS: Computer and information sciences, Computer Science - Computational Complexity, Formal Languages and Automata Theory (cs.FL), Electronic computers. Computer science, QA1-939, Computer Science - Formal Languages and Automata Theory, QA75.5-76.95, Computational Complexity (cs.CC), Mathematics

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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Average
Average
Top 10%
Green
gold