Labelled Proof Systems for Intuitionistic Provability - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Book Sections Year : 2000

Labelled Proof Systems for Intuitionistic Provability

Didier Galmiche
Vincent Balat
  • Function : Author


In this paper, we propose new labelled proof systems to analyse the intuitionistic provability in classical and linear logics. An important point is to understand how search in a non-classical logic can be viewed as a perturbation of search in classical logic. Therefore, suitable characterizations of intuitionistic provability and related labelled sequent calculi are defined for linear logic. An alternative approach, based on the notion of proof-net and on the definition of suitable labelled classical proof-nets, allows to directly study the intuitionistic provability by constructing intuitionistic proof-nets for sequents of classical linear logic.
Not file

Dates and versions

inria-00098993 , version 1 (26-09-2006)


  • HAL Id : inria-00098993 , version 1


Didier Galmiche, Vincent Balat. Labelled Proof Systems for Intuitionistic Provability. D. Basin, M. D'Agostino, D.M. Gabbay, S. Matthews, L. Vigano. Labelled Deduction, 17 (17), Kluwer Academic Publishers, 31 p, 2000, Applied Logic Series, 0-7923-6237-3. ⟨inria-00098993⟩
83 View
0 Download


Gmail Facebook Twitter LinkedIn More