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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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 |
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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 |