Structures in Logic and Computer Science, A Selection of Essays in Honor of Andrzej Ehrenfeucht
Dependence Logic: A New Approach to Independence Friendly Logic (London Mathematical Society Student Texts)
On Definability in Dependence Logic
Journal of Logic, Language and Information
Team Logic and Second-Order Logic
Fundamenta Informaticae - Logic, Language, Information and Computation
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Intuitionistic dependence logic was introduced by Abramsky and Väänänen [1] as a variant of dependence logic under a general construction of Hodges' (trump) team semantics. It was proven that there is a translation from intuitionistic dependence logic sentences into second order logic sentences. In this paper, we prove that the other direction is also true, therefore intuitionistic dependence logic is equivalent to second order logic on the level of sentences.