Résultats de complétude pour des classes de types du système AF2

Details Résultats de complétude pour des classes de types du système AF2 Résultats de complétude pour des classes de types du système AF2

2009-05-05

arxiv.org/abs/0905.0575v1

Informatique Th\'eorique et Applications 31, 6 (1998) 513-537

Mathematics

Logic

Scientific paper

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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