White pebbles help

  • Authors:
  • R Wilber

  • Affiliations:
  • Carnegie-Mellon University

  • Venue:
  • STOC '85 Proceedings of the seventeenth annual ACM symposium on Theory of computing
  • Year:
  • 1985

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Abstract

A family of directed acyclic graphs of vertex indegree 2 is constructed for which there are strategies of the black-white pebble game that use asymptotically fewer pebbles than the best strategies of the black pebble game. This shows that there are straight-line programs that can be evaluated nondeterministically with asymptotically less space than is required by any deterministic evaluation.