2010 | OriginalPaper | Buchkapitel
Effective Closed Subshifts in 1D Can Be Implemented in 2D
verfasst von : Bruno Durand, Andrei Romashchenko, Alexander Shen
Erschienen in: Fields of Logic and Computation
Verlag: Springer Berlin Heidelberg
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In this paper we use fixed point tilings to answer a question posed by Michael Hochman and show that every one-dimensional effectively closed subshift can be implemented by a local rule in two dimensions. The proof uses the fixed-point construction of an aperiodic tile set and its extensions.