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Effective Closed Subshifts in 1D Can Be Implemented in 2D.

Authors :
Durand, Bruno
Romashchenko, Andrei
Shen, Alexander
Source :
Fields of Logic & Computation; 2010, p208-226, 19p
Publication Year :
2010

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISBNs :
9783642150241
Database :
Complementary Index
Journal :
Fields of Logic & Computation
Publication Type :
Book
Accession number :
76851192
Full Text :
https://doi.org/10.1007/978-3-642-15025-8_12