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Kuznets, R. (2016). Craig Interpolation via Hypersequents. In D. Probst & P. Schuster (Eds.), Concepts of Proof in Mathematics, Philosophy, and Computer Science (pp. 193–214). Walter de Gruyter GmbH. https://doi.org/10.1515/9781501502620-012
In this paper, we describe a novel constructive method of proving the Craig interpolation property (CIP) based on cut-free hypersequent calculi and ap- ply the method to prove the CIP for the modal logic S5.