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...

Full description

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]
sami
Online Access:https://hal.science/hal-00381155
https://hal.science/hal-00381155/document
https://hal.science/hal-00381155/file/THESE.pdf
id ftunivsavoie:oai:HAL:hal-00381155v1
record_format openpolar
spelling ftunivsavoie:oai:HAL:hal-00381155v1 2024-04-21T08:10:59+00:00 Résultats de complétude pour des classes de types du système AF2 Farkh, Samir Nour, Karim Laboratoire de Mathématiques (LAMA) Université Savoie Mont Blanc (USMB Université de Savoie Université de Chambéry )-Centre National de la Recherche Scientifique (CNRS) 1998 https://hal.science/hal-00381155 https://hal.science/hal-00381155/document https://hal.science/hal-00381155/file/THESE.pdf fr fre HAL CCSD info:eu-repo/semantics/altIdentifier/arxiv/0905.0575 hal-00381155 https://hal.science/hal-00381155 https://hal.science/hal-00381155/document https://hal.science/hal-00381155/file/THESE.pdf ARXIV: 0905.0575 info:eu-repo/semantics/OpenAccess Informatique Théorique et Applications https://hal.science/hal-00381155 Informatique Théorique et Applications, 1998, 31 (6), pp.513-537 [MATH.MATH-LO]Mathematics [math]/Logic [math.LO] info:eu-repo/semantics/article Journal articles 1998 ftunivsavoie 2024-04-11T00:32:27Z 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. Article in Journal/Newspaper sami Université Savoie Mont Blanc: HAL
institution Open Polar
collection Université Savoie Mont Blanc: HAL
op_collection_id ftunivsavoie
language French
topic [MATH.MATH-LO]Mathematics [math]/Logic [math.LO]
spellingShingle [MATH.MATH-LO]Mathematics [math]/Logic [math.LO]
Farkh, Samir
Nour, Karim
Résultats de complétude pour des classes de types du système AF2
topic_facet [MATH.MATH-LO]Mathematics [math]/Logic [math.LO]
description 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.
author2 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
author Farkh, Samir
Nour, Karim
author_facet Farkh, Samir
Nour, Karim
author_sort Farkh, Samir
title Résultats de complétude pour des classes de types du système AF2
title_short Résultats de complétude pour des classes de types du système AF2
title_full Résultats de complétude pour des classes de types du système AF2
title_fullStr Résultats de complétude pour des classes de types du système AF2
title_full_unstemmed Résultats de complétude pour des classes de types du système AF2
title_sort résultats de complétude pour des classes de types du système af2
publisher HAL CCSD
publishDate 1998
url https://hal.science/hal-00381155
https://hal.science/hal-00381155/document
https://hal.science/hal-00381155/file/THESE.pdf
genre sami
genre_facet sami
op_source Informatique Théorique et Applications
https://hal.science/hal-00381155
Informatique Théorique et Applications, 1998, 31 (6), pp.513-537
op_relation info:eu-repo/semantics/altIdentifier/arxiv/0905.0575
hal-00381155
https://hal.science/hal-00381155
https://hal.science/hal-00381155/document
https://hal.science/hal-00381155/file/THESE.pdf
ARXIV: 0905.0575
op_rights info:eu-repo/semantics/OpenAccess
_version_ 1796952600961089536

Similar Items