In a two player game, a referee asks two cooperating players (who are not allowed to communicate) questions sampled from some distribution and decides whether they win or not base...
The parallel repetition theorem states that for any Two Prover Game with value at most 1 - (for < 1/2), the value of the game repeated n times in parallel is at most (1 - 3 )(n...
We show that a parallel repetition of any two-prover one-round proof system (MIP(2, 1)) decreases the probability of error at an exponential rate. No constructive bound was previou...
—Raz’s parallel repetition theorem [21] together with improvements of Holenstein [12] shows that for any two-prover one-round game with value at most 1 − (for ≤ 1/2), the v...
The parallel repetition theorem states that for any two provers one round game with value at most 1 − (for < 1/2), the value of the game repeated n times in parallel is at mo...
Abstract. Parallel repetition is well known to reduce the error probability at an exponential rate for single- and multi-prover interactive proofs. Bellare, Impagliazzo and Naor (1...
Consider a challenge-response protocol where the probability of a correct response is at least α for a legitimate user and at most β < α for an attacker. One example is a CAP...
Russell Impagliazzo, Ragesh Jaiswal, Valentine Kab...
Motivated by the study of Parallel Repetition and also by the Unique Games Conjecture, we investigate the value of the “Odd Cycle Games” under parallel repetition. Using tools...
The parallel repetition theorem states that for any two-prover game, with value 1 − (for, say, ≤ 1/2), the value of the game repeated in parallel n times is at most (1 − c)...
— The question of whether or not parallel repetition reduces the soundness error is a fundamental question in the theory of protocols. While parallel repetition reduces (at an ex...