Un R\'esultat de Compl\'etude pour les Types $\forall^+$ du Syst\`eme F

TL;DR

This paper proves a completeness result for positive quantifier types in Girard's System F, extending previous work by Labib-Sami, and contributes to the theoretical understanding of type systems.

Contribution

It introduces a generalized completeness theorem for positive quantifier types in System F, expanding the foundational knowledge of type theory.

Findings

Completeness result for positive quantifier types in System F

Generalization of Labib-Sami's theorem

Advances theoretical understanding of type systems

Abstract

We presente in this note a completeness result for the types with positive quantifiers of the J.-Y. Girard type system F. This result generalizes a theorem of R. Labib-Sami.