On nested sequents for constructive modal logics

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External organisations

  • INRIA, Palaiseau, France


We present deductive systems for various modal logics that can be obtained from the constructive variant of the normal modal logic CK by adding combinations of the axioms d, t, b, 4, and 5. This includes the constructive variants of the standard modal logics K4, S4, and S5. We use for our presentation the formalism of nested sequents and give a syntactic proof of cut elimination.


Original languageEnglish
Article number7
Number of pages33
JournalLogical Methods in Computer Science
Issue number3
Publication statusPublished - 3 Sep 2015


  • Cut-elimination, Intuitionistic logic, Modal logic, Nested sequents, Computer Science, Logic in Computer Science