On the power of randomized multicounter machines

  • Authors:
  • Juraj Hromkovič;Georg Schnitger

  • Affiliations:
  • Department of Computer Science, Swiss Federal Institute of Technology ETH Zurich, ETH Zentrum, RZ F2, CH-8092 Zurich, Switzerland;Institut für Informatik, Johann Wolfgang Goethe University, Robert Mayer Straße 11-15, 60054 Frankfurt am Main, Germany

  • Venue:
  • Theoretical Computer Science - Insightful theory
  • Year:
  • 2005

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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.