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ABSTRACT

We show a parallel-repetition theorem for constant-round Arthur-Merlin Games, using an efficient reduction. As a consequence, we show that parallel repetition reduces the soundness-error at an optimal rate (up to a negligible factor) in constant-round public-coin argument systems, and constant-round public-coinproofs of knowledge. The former of these results resolves an open questionposed by Bellare, Impagliazzo and Naor (FOCS '97).

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INDEX TERMS

Primary Classification:
  F. Theory of Computation
  F.1 COMPUTATION BY ABSTRACT DEVICES
      F.1.2 Modes of Computation
          Subjects: Interactive and reactive computation

General Terms:
Theory

Keywords:
Arthur-Merlin games, computationally-sound arguments, parallel repetition, proofs of knowledge, public-coin protocols