Time-Space Lower Bounds for the Polynomial-Time Hierarchy on Randomized Machines

  • Authors:
  • Scott Diehl;Dieter van Melkebeek

  • Affiliations:
  • -;-

  • Venue:
  • SIAM Journal on Computing
  • Year:
  • 2006

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Abstract

We establish the first polynomial-strength time-space lower bounds for problems in the linear-time hierarchy on randomized machines with two-sided error. We show that for any integer $\ell 1$ and constant $c