Independence logic and abstract independence relations
Gianluca Paolini · Mathematical logic quarterly · 2015
We continue the work on the relations between independence logic and the model‐theoretic analysis of independence, generalizing the results of to the framework of abstract independence relations for an arbitrary AEC. We give a model‐theoretic interpretation of the independence atom and characterize under which conditions we can prove a completeness result with respect to the deductive system that axiomatizes independence in team semantics and statistics.