English

Independence Logic and Abstract Independence Relations

Logic 2016-09-09 v7

Abstract

We continue the work on the relations between independence logic and the model-theoretic analysis of independence, generalizing the results of [15] and [16] 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.

Keywords

Cite

@article{arxiv.1401.6907,
  title  = {Independence Logic and Abstract Independence Relations},
  author = {Gianluca Paolini},
  journal= {arXiv preprint arXiv:1401.6907},
  year   = {2016}
}
R2 v1 2026-06-22T02:55:33.084Z