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arXiv · 1008.1668

State Complexity of Testing Divisibility

Emilie Charlier·Narad Rampersad·Michel Rigo·Laurent Waxweiler
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Abstract

Under some mild assumptions, we study the state complexity of the trim minimal automaton accepting the greedy representations of the multiples of m >= 2 for a wide class of linear numeration systems. As an example, the number of states of the trim minimal automaton accepting the greedy representations of the multiples of m in the Fibonacci system is exactly 2m^2.

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Emilie Charlier, Narad Rampersad, Michel Rigo, Laurent Waxweiler. 2010-08-10. State Complexity of Testing Divisibility. https://doi.org/10.4204/eptcs.31.7

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