English

Complete Types in an Extension of the System AF2

Logic 2009-05-05 v1

Abstract

In this paper, we extend the system AF2 in order to have the subject reduction for the βη\beta\eta-reduction. We prove that the types with positive quantifiers are complete for models that are stable by weak-head expansion.

Keywords

Cite

@article{arxiv.0905.0371,
  title  = {Complete Types in an Extension of the System AF2},
  author = {Samir Farkh and Karim Nour},
  journal= {arXiv preprint arXiv:0905.0371},
  year   = {2009}
}