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Preprints, Working Papers, ... Year : 2010

Four states are enough!

Abstract

This paper presents a 1D intrinsically universal cellular automata with four states for a first neighbors neighborhood, improving on the previous lower bound and getting nearer from the Turing universality bound. Intrinsic universality is discussed. Construction and proof rely on a combination of bulking techniques with programming using particles and collisions.
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Dates and versions

hal-00469841 , version 1 (02-04-2010)
hal-00469841 , version 2 (17-08-2010)

Identifiers

  • HAL Id : hal-00469841 , version 1

Cite

Nicolas Ollinger, Gaétan Richard. Four states are enough!. 2010. ⟨hal-00469841v1⟩

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