In this paper, we study the method of closure games, a game-theoretic valuation method for languages of self-referential truth developed by the author. We prove two theorems which jointly establish that the method of closure games characterizes all 3- and 4-valued strong Kleene fixed points in a novel, informative manner. Among others, we also present closure games which induce the minimal and maximal intrinsic fixed point of the strong Kleene schema.
"From Closure Games to Strong Kleene Truth." Notre Dame J. Formal Logic 57 (2) 153 - 179, 2016. https://doi.org/10.1215/00294527-3346590