Linear advice for randomized logarithmic space

  • Authors:
  • Lance Fortnow;Adam R. Klivans

  • Affiliations:
  • Department of Computer Science, University of Chicago, Chicago, IL;Department of Computer Science, The University of Texas at Austin, Austin, TX

  • Venue:
  • STACS'06 Proceedings of the 23rd Annual conference on Theoretical Aspects of Computer Science
  • Year:
  • 2006

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Abstract

We show that RL ⊆ L/O(n), i.e., any language computable in randomized logarithmic space can be computed in deterministic logarithmic space with a linear amount of non-uniform advice. To prove our result we use an ultra-low space walk on the Gabber-Galil expander graph due to Gutfreund and Viola.