Nested sequent calculi for intuitionistic grammar logics admit uniform cut-elimination via a shift rule and validity is undecidable.
Intuitionistic modal logic: A 15-year retrospective.Journal of Logic and Computation, 28(5): 873–882, 06 2015
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Axiomatizes iEx-logic as intersection of intuitionistic logic and orthomodular logic with Sasaki hook, and proves the lattice of its extensions is the product of intermediate logics and orthomodular logics lattices.
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Nested Sequents for Intuitionistic Multi-Modal Logics: Modularity, Cut-Elimination, and Undecidability
Nested sequent calculi for intuitionistic grammar logics admit uniform cut-elimination via a shift rule and validity is undecidable.