2013 | OriginalPaper | Chapter
Cut Elimination in Nested Sequents for Intuitionistic Modal Logics
Author : Lutz Straßburger
Published in: Foundations of Software Science and Computation Structures
Publisher: Springer Berlin Heidelberg
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We present cut-free deductive systems without labels for the intuitionistic variants of the modal logics obtained by extending IK with a subset of the axioms d, t, b, 4, and 5. For this, we use the formalism of nested sequents, which allows us to give a uniform cut elimination argument for all 15 logic in the intuitionistic S5 cube.