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arXiv · 0902.1048

On the Average Complexity of Moore's State Minimization Algorithm

Frédérique Bassino·Julien David·Cyril Nicaud
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Abstract

We prove that, for any arbitrary finite alphabet and for the uniform distribution over deterministic and accessible automata with n states, the average complexity of Moore's state minimization algorithm is in O(n log n). Moreover this bound is tight in the case of unary utomata.

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Frédérique Bassino, Julien David, Cyril Nicaud. 2009-02-06. On the Average Complexity of Moore's State Minimization Algorithm. https://arxiv.org/abs/0902.1048

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