MoL-2008-08: Game values and equilibria for undetermined sentences of Dependence Logic

MoL-2008-08: Galliani, Pietro (2008) Game values and equilibria for undetermined sentences of Dependence Logic. [Report]

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Abstract

Logics of imperfect information, such as IF-Logic or Dependence Logic, admit a game-theoretic semantics: every formula \phi corresponds to a game H(\phi) between a Verifier and a Falsifier, and the formula is true [false] if and only if the Verifier [Falsifier] has a winning strategy. Since the rule of the excluded middle does not hold in these logics, it is possible for a game H(\phi) to be undetermined; this thesis attempts to examine the values of such games, that is, the maximum expected payoffs that the Verifier is able to guarantee. For finite models, the resulting "Probabilistic Dependence Logic" can be shown, by means of the Minimax Theorem, to admit a compositional semantics similar to Hodges’ one for Slash Logic.

Item Type: Report
Report Nr: MoL-2008-08
Series Name: Master of Logic Thesis (MoL) Series
Year: 2008
Date Deposited: 12 Oct 2016 14:38
Last Modified: 12 Oct 2016 14:38
URI: https://eprints.illc.uva.nl/id/eprint/803

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