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arxiv: 1610.00338 · v1 · pith:ERK3IQIMnew · submitted 2016-10-02 · 💻 cs.FL · nlin.CG

A Linear Acceleration Theorem for 2D Cellular Automata on all Complete Neighborhoods

classification 💻 cs.FL nlin.CG
keywords accelerationautomatacellularlinearneighborhoodscompleteknowntwo-dimensional
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Linear acceleration theorems are known for most computational models. Although such results have been proved for two-dimensional cellular automata working on specific neighborhoods, no general construction was known. We present here a technique of linear acceleration for all two-dimensional languages recognized by cellular automata working on complete neighborhoods.

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