Recognizable sets of numbers in nonstandard bases

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Abstract

There are several characterizations of sets of integers recognizable by automata, when they are written in p-ary representations, p≥2. We prove that most of them can be adapted to sets of integers written in nonstandard numeration systems, like Fibonacci numeration system.

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Bruyère, V., & Hansel, G. (1995). Recognizable sets of numbers in nonstandard bases. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 911, pp. 167–179). Springer Verlag. https://doi.org/10.1007/3-540-59175-3_87

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