Multi-dimensional sets recognizable in all abstract numeration systems

Details Multi-dimensional sets recognizable in all abstract numeration systems Multi-dimensional sets recognizable in all abstract numeration systems

2010-10-26

arxiv.org/abs/1010.5391v1

Computer Science

Formal Languages and Automata Theory

11 pages

Scientific paper

We prove that the subsets of N^d 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.

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