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On deriving nested calculi for intuitionistic logics from semantic systems

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Publication:2177587

DOI10.1007/978-3-030-36755-8_12zbMATH Open1485.03021arXiv1910.06576OpenAlexW2994955096MaRDI QIDQ2177587

Author name not available (Why is that?)

Publication date: 6 May 2020

Abstract: This paper shows how to derive nested calculi from labelled calculi for propositional intuitionistic logic and first-order intuitionistic logic with constant domains, thus connecting the general results for labelled calculi with the more refined formalism of nested sequents. The extraction of nested calculi from labelled calculi obtains via considerations pertaining to the elimination of structural rules in labelled derivations. Each aspect of the extraction process is motivated and detailed, showing that each nested calculus inherits favorable proof-theoretic properties from its associated labelled calculus.


Full work available at URL: https://arxiv.org/abs/1910.06576



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