Hintikka Style Game Rules for Semi-Fuzzy Quantifiers

Abstract

Extending Hintikka's game for the evaluation of classical formulas, we explore the realm of quantifier rules that can be defined by combining several moves consisting of choices by the two strategic players, but also by a third non-strategic player 'Nature', representing random choices. The simple format of Hintikka-style games is compared to the seemingly much more general one of Giles's game for Łukasiewicz logic.