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This paper shows how to derive nested calculi from labelled calculi forpropositional intuitionistic logic and first-order intuitionistic logic withconstant domains, thus connecting the general results for labelled calculi withthe more refined formalism of nested sequents. The extraction of nested calculifrom labelled calculi obtains via considerations pertaining to the eliminationof structural rules in labelled derivations. Each aspect of the extractionprocess is motivated and detailed, showing that each nested calculus inheritsfavorable proof-theoretic properties from its associated labelled calculus.

On Deriving Nested Calculi for Intuitionistic Logics from Semantic Systems