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arxiv: 1304.4164 · v2 · pith:KOKUANACnew · submitted 2013-04-15 · 🧮 math.LO · cs.LO

Axiomatizing first-order consequences in independence logic

classification 🧮 math.LO cs.LO
keywords logicindependenceaxiomatizedconsequencesfirst-orderarticleaxiomatizationaxiomatizing
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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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