Display calculi and other modal calculi: a comparison

Francesca Poggiolesi (1)

1 IHPST - Institut d'Histoire et de Philosophie des Sciences et des Techniques

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.

Mots clés: Display calculi; Higher-arity calculi; Multiple sequent calculi; Tree-hypersequents calculi

Domaines: Histoire, Philosophie et Sociologie des sciences

Francesca Poggiolesi. Display calculi and other modal calculi: a comparison. Synthese, 2010, 173 (3), pp.259-279. ⟨10.1007/s11229-008-9425-4⟩. ⟨halshs-00775789⟩