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

@inproceedings{Durand2010EffectiveCS,
  title={Effective closed subshifts in 1D can be implemented in 2D},
  author={Bruno Durand and Andrei E. Romashchenko and Alexander Shen},
  booktitle={Fields of Logic and Computation},
  year={2010}
}
In this paper we use fixed point tilings to answer a question po sed by Michael Hochman and show that every one-dimensional effectively closed subshift can be i mplemented by a local rule in two dimensions. The proof uses the fixed-point construction of an aperiodic tile set an d its extensions. 

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