InforLorV4, Main, Exploration, bibRecord, 00B597

Proof construction in linear logic and programming

Identifieur interne : 00B597 ( Main/Exploration ); précédent : 00B596; suivant : 00B598

Proof construction in linear logic and programming

Auteurs : Didier Galmiche [France]

Source :

RBID : Hal:inria-00098600

Descripteurs français

mix :
- Automated deduction, Déduction automatique, Linear logic, Logique linéaire, Proof nets, Proof search, Recherche de preuves, Réseaux de preuve.

Abstract

In this talk, we consider the problem to have efficient methods to construct proofs and proof nets in different fragments of Linear Logic (LL). Non-classical logics as intuitionistic and linear logics are used in various branches of computer science, through various programming paradigms like proof-search as computation, proofs-as-programs, proofs-as-computation, and then automated proof search (construction) methods are necessary. We will present at first methods, based for instance on canonical proofs or matrix characterizations, for proof construction in some LL fragments and their applications. Then, we will consider the notion of proof net that provides a nice, graphical representation of proofs (without some syntactical bureaucracy) and present new methods for automated proof nets construction in various fragments of LL. Relationship and comparisons between the both approaches will be discussed.

Url:

https://hal.inria.fr/inria-00098600

Affiliations:

Links toward previous steps (curation, corpus...)

to stream Hal, to step Corpus: 003D80
to stream Hal, to step Curation: 003D80
to stream Hal, to step Checkpoint: 006924
to stream Main, to step Merge: 00BD61
to stream Main, to step Curation: 00B597

Le document en format XML

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Proof construction in linear logic and programming

Proof construction in linear logic and programming

Source :

Descripteurs français

Abstract

Links toward previous steps (curation, corpus...)

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri