Section: New Results

Nested Sequents for Constructive Modal Logics

Participants : Ryuta Arisaka, Anupam Das, Lutz Straßburger.

In the propositional case, “constructive” and “intuitionistic” logic are usually considered the same. However, in the presence of the modalities $\square$ and $\diamond$ this situation changes because there are several choice of which variants of the k-axiom (which are all equivalent in the classical case) are to be included. Whereas in [75] the intuitionistic variant of the S5-cube has been studied, we studied in this years work [34] the constructive variant of the logics in the S5-cube.