Generalized Quantifiers in Dependence Logic

We introduce generalized quantifiers, as defined in Tarskian semantics by Mostowski and Lindström, in logics whose semantics is based on teams instead of assignments, e.g., IF-logic and Dependence logic. Both the monotone and the non-monotone case is considered. It is argued that to handle quantifier scope dependencies of generalized quantifiers in a satisfying way the dependence atom in Dependence logic is not well suited and that the multivalued dependence atom is a better choice. This atom is in fact definably equivalent to the independence atom recently introduced by Väänänen and Grädel
Keywords Dependence logic  Independence friendly logic  Generalized quantifiers  Multi valued dependence
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DOI 10.1007/s10849-012-9162-4
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Antti Kuusisto (2015). A Double Team Semantics for Generalized Quantifiers. Journal of Logic, Language and Information 24 (2):149-191.
Pietro Galliani (2013). The Dynamification of Modal Dependence Logic. Journal of Logic, Language and Information 22 (3):269-295.

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Juha Kontinen & Jouko Väänänen (2009). On Definability in Dependence Logic. Journal of Logic, Language and Information 18 (3):317-332.

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