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(2018) Jaakko Hintikka on knowledge and game-theoretical semantics, Dordrecht, Springer.
We explore different ways to generalize Hintikka's classic game theoretic semantics to a many-valued setting, where the unit interval is taken as the set of truth values. In this manner a plethora of characterizations of Łukasiewicz logic arise. Among the described semantic games is Giles's dialogue and betting game, presented in a manner that makes the relation to Hintikka's game more transparent. Moreover, we explain a so-called explicit evaluation game and a "bargaining game" variant of it. We also describe a recently introduced backtracking game as well as a game with random choices for Łukasiewicz logic.
Publication details
DOI: 10.1007/978-3-319-62864-6_10
Full citation:
Fermüller, C. G. , Majer, O. (2018)., On semantic games for Łukasiewicz logic, in H. Van Ditmarsch & P. Sandu (eds.), Jaakko Hintikka on knowledge and game-theoretical semantics, Dordrecht, Springer, pp. 263-278.
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