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A Double Team Semantics for Generalized Quantifiers
Stockholm University, Faculty of Humanities, Department of Philosophy. University of Wrocław, Poland.
Number of Authors: 12015 (English)In: Journal of Logic, Language and Information, ISSN 0925-8531, E-ISSN 1572-9583, Vol. 24, no 2, p. 149-191Article in journal (Refereed) Published
Abstract [en]

We investigate extensions of dependence logic with generalized quantifiers. We also introduce and investigate the notion of a generalized atom. We define a system of semantics that can accommodate variants of dependence logic, possibly extended with generalized quantifiers and generalized atoms, under the same umbrella framework. The semantics is based on pairs of teams, or double teams. We also devise a game-theoretic semantics equivalent to the double team semantics. We make use of the double team semantics by defining a logic DC2 which canonically fuses together two-variable dependence logic D-2 and two-variable logic with counting quantifiers FOC2. We establish that the satisfiability and finite satisfiability problems of DC2 are complete for NEXPTIME.

Place, publisher, year, edition, pages
2015. Vol. 24, no 2, p. 149-191
Keywords [en]
Team semantics, Dependence logic, Generalized quantifiers, Game-theoretic semantics
National Category
Computer and Information Sciences Languages and Literature Philosophy, Ethics and Religion
Identifiers
URN: urn:nbn:se:su:diva-159578DOI: 10.1007/s10849-015-9217-4ISI: 000355693100003OAI: oai:DiVA.org:su-159578DiVA, id: diva2:1245305
Available from: 2018-09-05 Created: 2018-09-05 Last updated: 2018-09-05Bibliographically approved

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