Removing bidirectionality from nondeterministic finite automata

  • Authors:
  • Christos Kapoutsis

  • Affiliations:
  • Computer Science and Artificial Intelligence Laboratory, Massachusetts Institute of Technology

  • Venue:
  • MFCS'05 Proceedings of the 30th international conference on Mathematical Foundations of Computer Science
  • Year:
  • 2005

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Abstract

We prove that every two-way nondeterministic finite automaton with n states has an equivalent one-way nondeterministic finite automaton with at most ($^{2n}_{n+1}$) states. We also show this bound is exact.