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arXiv · 1610.00338

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

Anaël Grandjean·Victor Poupet
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Abstract

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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Anaël Grandjean, Victor Poupet. 2016-10-02. A Linear Acceleration Theorem for 2D Cellular Automata on all Complete Neighborhoods. https://doi.org/10.4230/lipics.icalp.2016.115

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