Polarizing Double Negation Translations - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Communication Dans Un Congrès Année : 2013

Polarizing Double Negation Translations

Résumé

Double-negation translations are used to encode and decode classical proofs in intuitionistic logic. We show that, in the cut-free fragment, we can simplify the translations and introduce fewer negations. To achieve this, we consider the polarization of the formulae and adapt those translation to the different connectives and quantifiers. We show that the embedding results still hold, using a customized version of the focused classical sequent calculus. We also prove the latter equivalent to more usual versions of the sequent calculus. This polarization process allows lighter embeddings, and sheds some light on the relationship between intuitionistic and classical connectives.
Fichier principal
Vignette du fichier
main.pdf (160.96 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00920224 , version 1 (18-12-2013)
hal-00920224 , version 2 (18-12-2013)

Identifiants

Citer

Mélanie Boudard, Olivier Hermant. Polarizing Double Negation Translations. LPAR, Dec 2013, Stellenbosch, South Africa. pp.182-197. ⟨hal-00920224v2⟩
254 Consultations
199 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More