LAMA- Equipe de Logique

Abstract. J.-L. Krivine introduced the AF2 type system in order to obtain programs (λterms) which calculate functions, by writing demonstrations of their totalities. We present in this paper two results of completness for some types of AF2 and for many notions of reductions. These results generalize...

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Bibliographic Details
Main Authors: Samir Farkh, Karim Nour, Université De Savoie
Other Authors: The Pennsylvania State University CiteSeerX Archives
Format: Text
Language:English
Published:
Subjects:
sami
Online Access:http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.250.8508
http://arxiv.org/pdf/0905.0575v1.pdf
Description
Summary:Abstract. J.-L. Krivine introduced the AF2 type system in order to obtain programs (λterms) which calculate functions, by writing demonstrations of their totalities. We present in this paper two results of completness for some types of AF2 and for many notions of reductions. These results generalize a theorem of R. Labib-Sami established in the system F of J.-Y. Girard. Résumé. J.-L. Krivine a introduit le système de typage AF2 pour obtenir des programmes (λtermes) calculant des fonctions en écrivant des démonstrations de leur totalité. Nous présentons dans ce papier des résultats de complétude pour certains types de AF2 et pour plusieurs notions de réductions. Ces résultats généralisent un théorème de R. Labib-Sami établi dans le système F de J.-Y. Girard.

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