Geodesic
Comparison of several proof systems of intuitionistic propositional logic
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2005), pp. 25-30

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A fragment of hierarchy of the proof systems for intuitionistic propositional logic under the $p$-simulation relation is constructed. These systems are resolution system, natural, Hilbert-style system and sequence system. The obtained hierarchy is the same as the hierarchy for analogous systems of classical logic. 
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S. M. Sayadyan. Comparison of several proof systems of intuitionistic propositional logic. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2005), pp. 25-30. http://geodesic.mathdoc.fr/item/UZERU_2005_2_a3/