Defining a Double Team Semantics for Generalized Quantifiers (Extended Version)

Antti Kuusisto · Tampere University Institutional Repository (Tampere University) · 2013

In this brief technical report we sketch a semantics for first-order logic with generalized quantifi ers based on double teams. We also defi ne the notion of a generalized atom. Such atoms can be used in order to defi ne extensions of first-order logic with a team-based semantics. We then briefly discuss how our double team semantics relates to game semantics based approaches to extensions of fi rst-order logic with generalized quantifi ers.

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