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New upper bounds to the limitedness of distance automata

  • Session 7: Automata
  • Conference paper
  • First Online:
Automata, Languages and Programming (ICALP 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1099))

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Abstract

A distance automaton is a finite nondeterministic automaton with a distance function which assigns zero or one to each atomic transition and assigns a nonnegative integer to each accepted word by the plus-min principle. In this paper, we prove that the distances of all accepted words of a distance automaton is bounded by some constant if and only if they are bounded by 24m3 + m log(m + 2) + m, where m is the number of states of the automaton.

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Friedhelm Meyer Burkhard Monien

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© 1996 Springer-Verlag Berlin Heidelberg

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Hashiguchi, K. (1996). New upper bounds to the limitedness of distance automata. In: Meyer, F., Monien, B. (eds) Automata, Languages and Programming. ICALP 1996. Lecture Notes in Computer Science, vol 1099. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61440-0_139

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  • DOI: https://doi.org/10.1007/3-540-61440-0_139

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61440-1

  • Online ISBN: 978-3-540-68580-7

  • eBook Packages: Springer Book Archive

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