On the relation between coherence semantics and multiplicative proof nets

Christian Retoré 1
1 MEIJE - Concurrency, Synchronization and Real-time Programming
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : It is known that (mix) proof nets admits a coherence semantics, computed as a set of experiments. We prove here the converse: a proof structure is shown to be a proof net whenever its sets of experiments is a semantical object --- a clique of the corresponding coherence space. Moreover the interpretation of atomic formulae can be restricted to a given coherent space with three tokens in its web. This is done by transforming \tt cut links into \tt tensor links. Dealing directly with non-cut-free proof structure we characterise the deadlock freeness of the reduced proof structure. These results are especially convenient for Abramsky's proof expressions, and can be extended to the pomset calculus.
Type de document :
Rapport
RR-2430, INRIA. 1994
Liste complète des métadonnées

Littérature citée [17 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/inria-00074245
Contributeur : Rapport de Recherche Inria <>
Soumis le : mercredi 24 mai 2006 - 14:51:02
Dernière modification le : samedi 17 septembre 2016 - 01:35:20
Document(s) archivé(s) le : lundi 5 avril 2010 - 00:07:13

Fichiers

Identifiants

  • HAL Id : inria-00074245, version 1

Collections

Citation

Christian Retoré. On the relation between coherence semantics and multiplicative proof nets. RR-2430, INRIA. 1994. 〈inria-00074245〉

Partager

Métriques

Consultations de la notice

138

Téléchargements de fichiers

154