Dependence Logic with Generalized Quantifiers: Axiomatizations

Fredrik Engström; Juha Kontinen; Jouko Väänänen

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arXiv · 1304.0611

Dependence Logic with Generalized Quantifiers: Axiomatizations

Fredrik Engström·Juha Kontinen·Jouko Väänänen

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Abstract

We prove two completeness results, one for the extension of dependence logic by a monotone generalized quantifier Q with weak interpretation, weak in the meaning that the interpretation of Q varies with the structures. The second result considers the extension of dependence logic where Q is interpreted as "there exists uncountable many." Both of the axiomatizations are shown to be sound and complete for FO(Q) consequences.

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BibTeX RIS

Fredrik Engström, Juha Kontinen, Jouko Väänänen. 2013-04-02. Dependence Logic with Generalized Quantifiers: Axiomatizations. https://arxiv.org/abs/1304.0611

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