Section: New Results

Nested Sequents for Intuitionistic Modal Logics

Participant : Lutz Straßburger.

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. This work (published in [25] ), is an improvement of the result on intuitionistic modal logic from 2011: the deductive systems the cut elimination proof are much simpler now.