Effective closed subshifts in 1D can be implemented in 2D

Details Effective closed subshifts in 1D can be implemented in 2D Effective closed subshifts in 1D can be implemented in 2D

2010-03-16

arxiv.org/abs/1003.3103v1

Computer Science

Logic in Computer Science

9 pages, 2 figures

Scientific paper

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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