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On finite automata with limited nondeterminism (extended abstract)

  • Hing Leung
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 629)

Abstract

We develop a new algorithm for determining if a given nondeterministic finite automaton is limited in nondeterminism. From this, we show that the number of nondeterministic moves of a finite automaton, if limited, is bounded by 2n−2 where n is the number of states. If the finite automaton is over a one letter alphabet, using Gohon's result the number of nondeterministic moves, if limited, is less than n 2. In both cases, we present families of finite automata demonstrating that the upper bounds obtained are almost tight.

Keywords

Distance Function Regular Language Finite Automaton Letter Alphabet Deterministic Finite Automaton 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Hing Leung
    • 1
  1. 1.Fachbereich Informatik, J.W. Goethe-UniversitätFrankfurt am Main 11Germany

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