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» Changing the Neighborhood of Cellular Automata
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STACS
2005
Springer
13 years 10 months ago
Cellular Automata: Real-Time Equivalence Between One-Dimensional Neighborhoods
Abstract. It is well known that one-dimensional cellular automata working on the usual neighborhood are Turing complete, and many acceleration theorems are known. However very litt...
Victor Poupet
MFCS
2007
Springer
13 years 11 months ago
Real Time Language Recognition on 2D Cellular Automata: Dealing with Non-convex Neighborhoods
In this paper we study language recognition by two-dimensional cellular automata on different possible neighborhoods. Since it is known that all complete neighborhoods are linearl...
Martin Delacourt, Victor Poupet
JAC
2008
13 years 6 months ago
Neighborhood transformations on graph automata
Abstract. We consider simulations of graph automata. We introduce two local transformations on the neighborhood: splitting and merging. We explain how to use such transformations, ...
Bruno Martin, Christophe Papazian
MFCS
2004
Springer
13 years 10 months ago
Simulating 3D Cellular Automata with 2D Cellular Automata
The purpose of this article is to describe a way to simulate any 3-dimensional cellular automaton with a 2-dimensional cellular automaton. We will present the problems that arise w...
Victor Poupet