A Separation of Determinism, Las Vegas and Nondeterminism for Picture Recognition

  • Authors:
  • Pavol Duris;Juraj Hromkovic;Katsushi Inoue

  • Affiliations:
  • -;-;-

  • Venue:
  • COCO '00 Proceedings of the 15th Annual IEEE Conference on Computational Complexity
  • Year:
  • 2000

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Abstract

The investigation of the computational power of randomized computations is one of the central tasks of current complexity and algorithm theory. In this paper for the first time, a 驴strong驴 separation between the power of determinism, Las Vegas randomization, and nondeterminism for a computing model is proved. The computing model considered here are finite automata with two-dimensional input tapes (i.e., finite automata recognizing picture languages). Moreover, a hierarchy on the degree of nondeterminism of two-dimensional finite automata is established.