Some consequences of the existence of pseudorandom generators

  • Authors:
  • E. Allender

  • Affiliations:
  • Department of Computer Science, Rutgers University, New Brunswick, N.J.

  • Venue:
  • STOC '87 Proceedings of the nineteenth annual ACM symposium on Theory of computing
  • Year:
  • 1987

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Abstract

If secure pseudorandom generators exist, then probabilistic computation does not uniformly speed up deterministic computation. If sets in P must contain infinitely many noncomplex strings, then nondeterministic computation does not uniformly speed up deterministic computation. Connections are drawn between pseudorandom generation, generalized Kolmogorov complexity, and immunity properties of complexity classes.