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Universal Simulations by Spatial Machines

Bruno Martin 1
1 Laboratoire d'Informatique, Signaux, et Systèmes de Sophia-Antipolis (I3S) / Equipe MC3
Laboratoire I3S - MDSC - Modèles Discrets pour les Systèmes Complexes
Abstract : In this paper, we consider the relation between spatial machines, Turing machines and cellular automata. We first recall and correct a mistake in the original simulation of a Turing machine by a spatial machine. We also propose a parallel simulation of cellular automata by a uniform family of spatial machines. Then, we deduce from the previous simulations the universality of spatial machines, the undecidability of the occurrence of a state and the P-completeness of the General Machine Simulation Problem for spatial machines
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Contributor : Bruno Martin <>
Submitted on : Wednesday, July 16, 2008 - 4:37:36 PM
Last modification on : Tuesday, December 8, 2020 - 9:40:02 AM


  • HAL Id : hal-00298560, version 1



Bruno Martin. Universal Simulations by Spatial Machines. Journal of Cellular Automata, Old City Publishing, 2007, 2 (3), pp.203-217. ⟨hal-00298560⟩



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