English

Specifying programs with propositions and with congruences

Logic in Computer Science 2023-04-27 v1

Abstract

We give a presentation of Krivine and Parigot's Second-order functional arithmetic in Deduction modulo. Expressing this theory in Deduction modulo sheds light on an original aspect of this theory: the fact that programs are specified, not with propositions, but with congruences.

Keywords

Cite

@article{arxiv.2304.13321,
  title  = {Specifying programs with propositions and with congruences},
  author = {Gilles Dowek},
  journal= {arXiv preprint arXiv:2304.13321},
  year   = {2023}
}
R2 v1 2026-06-28T10:18:08.359Z