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arXiv · 0711.4990

Finding the growth rate of a regular language in polynomial time

Dalia Krieger·Narad Rampersad·Jeffrey Shallit
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Abstract

We give an O(n^3+n^2 t) time algorithm to determine whether an NFA with n states and t transitions accepts a language of polynomial or exponential growth. We also show that given a DFA accepting a language of polynomial growth, we can determine the order of polynomial growth in quadratic time.

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Dalia Krieger, Narad Rampersad, Jeffrey Shallit. 2007-11-30. Finding the growth rate of a regular language in polynomial time. https://arxiv.org/abs/0711.4990

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