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Three New Algorithms for Regular Language Enumeration

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Computing and Combinatorics (COCOON 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5609))

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Abstract

We present new and more efficient algorithms for regular language enumeration problems. The min-word problem is to find the lexicographically minimal word of length n accepted by a given NFA, the cross-section problem is to list all words of length n accepted by an NFA in lexicographical order, and the enumeration problem is to list the first m words accepted by an NFA according to length-lexicographic order. For the min-word and cross-section problems, we present algorithms with better asymptotic running times than previously known algorithms. Additionally, for each problem, we present algorithms with better practical running times than previously known algorithms.

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References

  1. Ackerman, M., Shallit, J.: Efficient enumeration of words in regular languages. Theoretical Computer Science. Elsevier, Amsterdam (2009)

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© 2009 Springer-Verlag Berlin Heidelberg

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Ackerman, M., Mäkinen, E. (2009). Three New Algorithms for Regular Language Enumeration. In: Ngo, H.Q. (eds) Computing and Combinatorics. COCOON 2009. Lecture Notes in Computer Science, vol 5609. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02882-3_19

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  • DOI: https://doi.org/10.1007/978-3-642-02882-3_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02881-6

  • Online ISBN: 978-3-642-02882-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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