Axiomatizing first-order consequences in inclusion logic

Fan Yang

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arXiv · 1904.06227

Axiomatizing first-order consequences in inclusion logic

Fan Yang

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Abstract

Inclusion logic is a variant of dependence logic that was shown to have the same expressive power as positive greatest fixed-point logic. Inclusion logic is not axiomatizable in full, but its first-order consequences can be axiomatized. In this paper, we provide such an explicit partial axiomatization by introducing a system of natural deduction for inclusion logic that is sound and complete for first-order consequences in inclusion logic.

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Fan Yang. 2019-04-12. Axiomatizing first-order consequences in inclusion logic. https://arxiv.org/abs/1904.06227

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