Complete logics for elementary team properties

Juha Kontinen; Fan Yang

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arXiv · 1904.08695

Complete logics for elementary team properties

Juha Kontinen·Fan Yang

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Abstract

In this paper, we introduce a logic based on team semantics, called FOT, whose expressive power is elementary, i.e., coincides with first-order logic both on the level of sentences and (possibly open) formulas, and we also show that a sublogic of FOT, called FOT${}^\downarrow$, captures exactly downward closed elementary (or first-order) team properties. We axiomatize completely the logic FOT, and also extend the known partial axiomatization of dependence logic to dependence logic enriched with the logical constants in FOT${}^\downarrow$.

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BibTeX RIS

Juha Kontinen, Fan Yang. 2019-04-18. Complete logics for elementary team properties. https://arxiv.org/abs/1904.08695

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