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Journal Articles Logical Methods in Computer Science Year : 2015

On Nested Sequents for Constructive Modal Logics


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.
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Dates and versions

hal-01093143 , version 1 (10-12-2014)
hal-01093143 , version 2 (02-12-2015)


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Ryuta Arisaka, Anupam Das, Lutz Strassburger. On Nested Sequents for Constructive Modal Logics. Logical Methods in Computer Science, 2015, 11 (3), pp.1-33. ⟨10.2168/LMCS-11(3:7)2015⟩. ⟨hal-01093143v2⟩
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