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arxiv: 1208.0176 · v1 · pith:HCZ5AUXQnew · submitted 2012-08-01 · 🧮 math.LO · cs.LO

Axiomatizing first order consequences in dependence logic

classification 🧮 math.LO cs.LO
keywords dependencelogicaxiomatizedconsequencesaxiomatizationaxiomatizingcannotcompleteness
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Dependence logic, introduced in [8], cannot be axiomatized. However, first-order consequences of dependence logic sentences can be axiomatized, and this is what we shall do in this paper. We give an explicit axiomatization and prove the respective Completeness Theorem.

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