Two-by-two substitution systems and the undecidability of the domino problem

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Abstract

Thanks to a careful study of elementary properties of two-by-two substitution systems, we give a complete self-contained elementary construction of an aperiodic tile set and sketch how to use this tile set to elementary prove the undecidability of the classical Domino Problem. © 2008 Springer-Verlag Berlin Heidelberg.

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Ollinger, N. (2008). Two-by-two substitution systems and the undecidability of the domino problem. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5028 LNCS, pp. 476–485). https://doi.org/10.1007/978-3-540-69407-6_51

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