English

La Valeur d'un Entier Classique en $\lambda\mu$-Calcul

Logic 2009-05-06 v1

Abstract

In this paper, we present three methods to give the value of a classical integer in λμ\lambda\mu-calculus. The first method is an external method and gives the value and the false part of a normal classical integer. The second method uses a new reduction rule and gives as result the corresponding Church integer. The third method is the M. Parigot's method which uses the J.L. Krivine's storage operators.

Cite

@article{arxiv.0905.0552,
  title  = {La Valeur d'un Entier Classique en $\lambda\mu$-Calcul},
  author = {Karim Nour},
  journal= {arXiv preprint arXiv:0905.0552},
  year   = {2009}
}
R2 v1 2026-06-21T12:58:14.523Z