English

Alg\`ebres de r\'ealisabilit\'e: un programme pour bien ordonner R

Logic in Computer Science 2010-06-01 v2 Logic

Abstract

We give a method to transform into programs, classical proofs using a well ordering of the reals. The technics uses a generalization of Cohen's forcing and the theory of classical realizability introduced by the author.

Keywords

Cite

@article{arxiv.1002.3438,
  title  = {Alg\`ebres de r\'ealisabilit\'e: un programme pour bien ordonner R},
  author = {Jean-Louis Krivine},
  journal= {arXiv preprint arXiv:1002.3438},
  year   = {2010}
}

Comments

45 pages

R2 v1 2026-06-21T14:48:18.852Z