Effective closed subshifts in 1D can be implemented in 2D
classification
💻 cs.LO
cs.DMmath.COmath.DS
keywords
closedimplementedansweraperiodicconstructiondimensionseffectiveeffectively
read the original abstract
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.
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