English

R\'esultats de compl\'etude pour des classes de types du syst\`eme AF2

Logic 2009-05-06 v1

Abstract

J.-L. Krivine introduced the AF2 type system in order to obtain programs (λ\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.

Keywords

Cite

@article{arxiv.0905.0575,
  title  = {R\'esultats de compl\'etude pour des classes de types du syst\`eme AF2},
  author = {Samir Farkh and Karim Nour},
  journal= {arXiv preprint arXiv:0905.0575},
  year   = {2009}
}