Bounds on the time for parallel RAM's to compute simple functions

  • Authors:
  • Stephen Cook;Cynthia Dwork

  • Affiliations:
  • -;-

  • Venue:
  • STOC '82 Proceedings of the fourteenth annual ACM symposium on Theory of computing
  • Year:
  • 1982

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Abstract

We prove that a parallel RAM with no write conflicts allowed requires -&-Ohgr;(log n) steps to compute the Boolean or of n bits stored in the first n global memory cells. We first argue that this result is subtler than it appears, and in fact the -&-ldquo;obvious-&-rdquo; lower bound of log2n steps can be beaten.