Axiomatizing first-order consequences in independence logic

Miika Hannula

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arXiv · 1304.4164

Axiomatizing first-order consequences in independence logic

Miika Hannula

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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.

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Miika Hannula. 2013-04-15. Axiomatizing first-order consequences in independence logic. https://arxiv.org/abs/1304.4164

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