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The Axiom of Determinacy (AD) is a principle in set theory that relates to the behavior of certain games and the existence of winning strategies in those games. More specifically, the Axiom of Determinacy posits that for certain kinds of infinite games involving two players, one player can always have a winning strategy.

Lightface is a two-player analytic game used in the field of mathematical logic and set theory. The game has a structure that revolves around "moves" made by the players, typically denoted as Player I and Player II. Each player takes turns making decisions or selections based on a pre-defined set of rules.