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Multi-dimensional sets recognizable in all abstract numeration systems

Émilie Charlier; Anne Lacroix; Narad Rampersad — 2012

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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

Multi-dimensional sets recognizable in all abstract numeration systems

Émilie Charlier; Anne Lacroix; Narad Rampersad — 2012

RAIRO - Theoretical Informatics and Applications

On the recognizability of self-generating sets.

Kärki, Tomi; Lacroix, Anne; Rigo, Michel — 2010

Journal of Integer Sequences [electronic only]

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