Error Reduction by Parallel Repetition - A Negative Result

  • Authors:
  • Uriel Feige;Oleg Verbitsky

  • Affiliations:
  • -;-

  • Venue:
  • CCC '96 Proceedings of the 11th Annual IEEE Conference on Computational Complexity
  • Year:
  • 1996

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Abstract

We show that no fixed number of parallel repetitions suffices in order to reduce the error in two-prover one-round proof systems from one constant to another. Our results imply that the recent bounds proven by Ran Raz, showing that the number of rounds that suffice is inversely proportional to the answer length, are nearly best possible.