Résultats de complétude pour des classes de types du système AF2

International audience J.-L. Krivine introduced the AF2 type system in order to obtain programs ($\lambda$-terms) 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. Th...

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Bibliographic Details
Main Authors: Farkh, Samir, Nour, Karim
Other Authors: Laboratoire de Mathématiques (LAMA), Université Savoie Mont Blanc (USMB Université de Savoie Université de Chambéry )-Centre National de la Recherche Scientifique (CNRS)
Format: Article in Journal/Newspaper
Language:French
Published: HAL CCSD 1998
Subjects:
[MATH.MATH-LO]Mathematics [math]/Logic [math.LO]
Lambda
sami
Online Access:https://hal.science/hal-00381155
https://hal.science/hal-00381155/document
https://hal.science/hal-00381155/file/THESE.pdf
Description
Summary:International audience J.-L. Krivine introduced the AF2 type system in order to obtain programs ($\lambda$-terms) 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.

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