Display calculi and other modal calculi: A comparison

Synthese 173 (3):259 - 279 (2010)
Abstract
In this paper we introduce and compare four different syntactic methods for generating sequent calculi for the main systems of modal logic: the multiple sequents method, the higher-arity sequents method, the tree-hypersequents method and the display method. More precisely we show how the first three methods can all be translated in the fourth one. This result sheds new light on these generalisations of the sequent calculus and raises issues that will be examined in the last section.
Keywords Display calculi  Higher-arity calculi  Multiple sequent calculi  Tree-hypersequents calculi
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References found in this work BETA
Nuel Belnap (1989). Linear Logic Displayed. Notre Dame Journal of Formal Logic 31 (1):14-25.
Nuel D. Belnap (1982). Display Logic. Journal of Philosophical Logic 11 (4):375-417.
Kai Brünnler (2009). Deep Sequent Systems for Modal Logic. Archive for Mathematical Logic 48 (6):551-577.

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