English

Non deterministic classical logic: the $\lambda\mu^{++}$-calculus

Logic 2009-05-05 v1

Abstract

In this paper, we present an extension of λμ\lambda\mu-calculus called λμ++\lambda\mu^{++}-calculus which has the following properties: subject reduction, strong normalization, unicity of the representation of data and thus confluence only on data types. This calculus allows also to program the parallel-or.

Keywords

Cite

@article{arxiv.0905.0456,
  title  = {Non deterministic classical logic: the $\lambda\mu^{++}$-calculus},
  author = {Karim Nour},
  journal= {arXiv preprint arXiv:0905.0456},
  year   = {2009}
}
R2 v1 2026-06-21T12:58:03.427Z