Generalized quantifiers in Dependence Logic

Fredrik Engström

doi:10.1007/s10849-012-9162-4

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arXiv · 1103.0396

Generalized quantifiers in Dependence Logic

Fredrik Engström

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Abstract

We introduce generalized quantifiers, as defined in Tarskian semantics by Mostowski and Lindstr\"om, 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 \emph{independence atom} recently introduced by V\"a\"an\"anen and Gr\"adel.

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BibTeX RIS

Fredrik Engström. 2011-03-02. Generalized quantifiers in Dependence Logic. https://doi.org/10.1007/s10849-012-9162-4

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