English

Axiomatizing first-order consequences in independence logic

Logic 2015-10-14 v2 Logic in Computer Science

Abstract

Independence logic cannot be effectively axiomatized. However, first-order consequences of independence logic sentences can be axiomatized. In this article we give an explicit axiomatization and prove that it is complete in this sense. The proof is a generalization of the similar result for dependence logic.

Keywords

Cite

@article{arxiv.1304.4164,
  title  = {Axiomatizing first-order consequences in independence logic},
  author = {Miika Hannula},
  journal= {arXiv preprint arXiv:1304.4164},
  year   = {2015}
}

Comments

arXiv admin note: text overlap with arXiv:1208.0176 by other authors

R2 v1 2026-06-21T23:59:51.299Z