On the power of randomized multicounter machines

  • Hromkovi J
  • Schnitger G
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Abstract

One-way two-counter machines represent a universal model of computation. Here we consider the polynomial-time classes of multicounter machines with a constant number of reversals and separate the computational power of nondeterminism, randomization and determinism. For instance, we show that polynomial-time one-way multicounter machines, with error probability tending to zero with growing input length, can recognize languages that cannot be accepted by polynomial-time nondeterministic two-way multicounter machines with a bounded number of reversals. A similar result holds for the comparison of determinism and one-sided-error randomization, and of determinism and Las Vegas randomization. © 2004 Elsevier B.V. All rights reserved.

Author-supplied keywords

  • Determinism
  • Multicounter machines
  • Nondeterminism
  • Problem complexity
  • Randomness

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Authors

  • Juraj Hromkovi

  • Georg Schnitger

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