Corpus ID: 54159

Finding the growth rate of a regular language in polynomial time

@article{Krieger2007FindingTG,
  title={Finding the growth rate of a regular language in polynomial time},
  author={D. Krieger and N. Rampersad and J. Shallit},
  journal={ArXiv},
  year={2007},
  volume={abs/0711.4990}
}
AbstractWe give an O(n 3 +n 2 t) time algorithm to determine whether an NFA with n statesand t transitions accepts a language of polynomial or exponential growth. We alsoshow that given a DFA accepting a language of polynomial growth, we can determinethe order of polynomial growth in quadratic time. 1 Introduction Let L ⊆ Σ ∗ be a language. If there exists a polynomial p(x) such that |L ∩ Σ m | ≤ p(m) forall m ≥ 0, then L has polynomial growth . Languages of polynomial growth are also called… Expand

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