English

S-storage operators

Logic 2009-05-07 v1

Abstract

In 1990, J.L. Krivine introduced the notion of storage operator to simulate, for Church integers, the "call by value" in a context of a "call by name" strategy. In this present paper, we define, for every λ\lambda-term S which realizes the successor function on Church integers, the notion of S-storage operator. We prove that every storage operator is a $S-storage operator. But the converse is not always true.

Cite

@article{arxiv.0905.0770,
  title  = {S-storage operators},
  author = {Karim Nour},
  journal= {arXiv preprint arXiv:0905.0770},
  year   = {2009}
}
R2 v1 2026-06-21T12:58:42.627Z