Proof Systems for Intuitionistic Provability in Linear Logic

Didier Galmiche 1 Vincent Balat 1
1 TYPES - Logic, proof Theory and Programming
LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : This paper analyses the intuitionistic provability in classical logic and in linear logic. It proposes new labelled sequent calculi to analyse if a classical proof can be used to deal with intuitionistic provability of a formula. In the case of linear logic, labelled proof nets are defined for such a purpose and a characterization of provability , based on proof nets, is given. Moreover, the corresponding method is complete with respect to intuitionistic provability.
Type de document :
Communication dans un congrès
First International Workshop on Labelled Deduction - Ld'98, 1998, Freiburg/Germany, 1998
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https://hal.inria.fr/inria-00098529
Contributeur : Publications Loria <>
Soumis le : lundi 25 septembre 2006 - 17:03:10
Dernière modification le : jeudi 11 janvier 2018 - 06:20:14

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  • HAL Id : inria-00098529, version 1

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Didier Galmiche, Vincent Balat. Proof Systems for Intuitionistic Provability in Linear Logic. First International Workshop on Labelled Deduction - Ld'98, 1998, Freiburg/Germany, 1998. 〈inria-00098529〉

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