Logics for first-order team properties
Juha Kontinen, Fan Yang · arXiv (Cornell University) · 2019
In this paper, we introduce a logic based on team semantics, called FOT, whose expressive power coincides with first-order logic both on the level of sentences and (open) formulas, and we also show that a sublogic of FOT, called FOT${}^\downarrow$, captures exactly downward closed 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${}^\downarrow$.