We enlighten the differences between one-dimensional and two-dimensional cellular automata by considering both the dynamical and decidability aspects. We also show a canonical representation theorem for the slicing constructions, a tool allowing to give the 2D version of important 1D CA notions as closing and positive expansivity and lift 1D results to the 2D settings.
Dennunzio, A. (2012). From One dimensional to Two dimensional Cellular Automata. FUNDAMENTA INFORMATICAE, 115(1), 87-105 [10.3233/FI-2012-642].
From One dimensional to Two dimensional Cellular Automata
DENNUNZIO, ALBERTO
2012
Abstract
We enlighten the differences between one-dimensional and two-dimensional cellular automata by considering both the dynamical and decidability aspects. We also show a canonical representation theorem for the slicing constructions, a tool allowing to give the 2D version of important 1D CA notions as closing and positive expansivity and lift 1D results to the 2D settings.
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