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...
Main Authors: | , |
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Other Authors: | , |
Format: | Article in Journal/Newspaper |
Language: | French |
Published: |
HAL CCSD
1998
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Subjects: | |
Online Access: | https://hal.science/hal-00381155 https://hal.science/hal-00381155/document https://hal.science/hal-00381155/file/THESE.pdf |
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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