A Parallel Repetition Theorem for Constant-Round Arthur-Merlin Proofs

Abstract

We show a parallel-repetition theorem for constant-round Arthur-Merlin Proofs, 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-coin proofs of knowledge. The first of these results resolves an open question posed by Bellare, Impagliazzo, and Naor (FOCS’97).

Document Details

Document Type
Pub Defense Publication
Publication Date
Nov 01, 2012
Source ID
10.1145/2382559.2382561

Entities

People

  • Muthuramakrishnan Venkitasubramaniam
  • Rafael Pass

Organizations

  • Air Force Office of Scientific Research
  • Air Force Research Laboratory
  • Bulgarian Science Fund
  • Cornell University
  • University of Rochester

Tags

Fields of Study

  • Computer science
  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Mathematics or Statistics
  • Military/Explosive Ordnance Disposal (EOD) Technology