From ordered monoids to quantales and Petri nets: completeness results revisited in Intuitionistic Linear Logic

Didier Galmiche 1 Dominique Larchey-Wendling 1
1 TYPES - Logic, proof Theory and Programming
LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : This paper presents a new semantics of Intuitionistic Linear Logic and its relationships with Petri nets. It comes from a new analysis of the links between ordered monoids, quantales and Petri nets. The main results are: a new completeness result for ILL from a new interpretation of the logic on nets and also a finite model property, that means completeness w.r.t finite quantales or Petri nets.
Type de document :
Communication dans un congrès
Workshop on Domains IV, 1998, Rolandseck, Germany, 1998
Liste complète des métadonnées

https://hal.inria.fr/inria-00098530
Contributeur : Publications Loria <>
Soumis le : lundi 25 septembre 2006 - 17:03:10
Dernière modification le : mardi 24 avril 2018 - 13:34:43

Identifiants

  • HAL Id : inria-00098530, version 1

Collections

Citation

Didier Galmiche, Dominique Larchey-Wendling. From ordered monoids to quantales and Petri nets: completeness results revisited in Intuitionistic Linear Logic. Workshop on Domains IV, 1998, Rolandseck, Germany, 1998. 〈inria-00098530〉

Partager

Métriques

Consultations de la notice

125