Multi-dimensional sets recognizable in all abstract numeration systems
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Volume 46 (2012) no. 1, pp. 51-65.

We prove that the subsets of that are S-recognizable for all abstract numeration systems S are exactly the 1-recognizable sets. This generalizes a result of Lecomte and Rigo in the one-dimensional setting.

DOI: 10.1051/ita/2011112
Classification: 68Q45
Keywords: finite automata, numeration systems, recognizable sets of integers, multi-dimensional setting
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Charlier, Émilie; Lacroix, Anne; Rampersad, Narad. Multi-dimensional sets recognizable in all abstract numeration systems. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Volume 46 (2012) no. 1, pp. 51-65. doi : 10.1051/ita/2011112. http://www.numdam.org/articles/10.1051/ita/2011112/

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