Separating pseudo-telepathy games and two-local theories

Louis Mathieu , Mehdi Mhalla (1)

1 CAPP - Calculs algorithmes programmes et preuves

We give an $\dfrac{1}{54}$ separation between 5-party pseudo-telepathy games and two-local theories. We define the notion of strategy in a k-local theory for a game, and extend the method of Chao and Reichardt. We also study variation of the game to minimize the classical winning probability.

Domaines: Algorithme et structure de données [cs.DS]

Louis Mathieu, Mehdi Mhalla. Separating pseudo-telepathy games and two-local theories. 2019. ⟨hal-02078316⟩