Two-way deterministic automata with two reversals are exponentially more succinct than with one reversal

  • Authors:

  • Marcin Balcerzak;Damian Niwiński

  • Affiliations:

  • Faculty of Mathematics, Informatics, and Mechanics, Warsaw University, Poland;Faculty of Mathematics, Informatics, and Mechanics, Warsaw University, Poland

  • Venue:
  • Information Processing Letters
  • Year:
  • 2010

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Abstract

We prove that limiting the number of reversals from two to one can cause an exponential blow-up in the size of two-way deterministic automaton.