Nondeterminism is essential in small 2FAs with few reversals

  • Authors:
  • Christos A. Kapoutsis

  • Affiliations:
  • LIAFA, Université Paris VII

  • Venue:
  • ICALP'11 Proceedings of the 38th international conference on Automata, languages and programming - Volume Part II
  • Year:
  • 2011

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Abstract

On every n-long input, every two-way finite automaton (2FA) can reverse its head O(n) times before halting. A 2FA with few reversals is an automaton where this number is only o(n). For every h, we exhibit a language that requires Ω(2h) states on every deterministic 2FA with few reversals, but only h states on a nondeterministic 2FA with few reversals.