English

Variants into minimal logic of the Kuroda negative translation

Logic 2013-04-12 v2

Abstract

The Kuroda negative translation translates classical logic only into intuitionistic logic, not into minimal logic. We present eight variants of the Kuroda negative translation that translate classical logic even into minimal logic. The proofs of their soundness theorems are interesting because they illustrate four different methods of proof.

Keywords

Cite

@article{arxiv.1108.0634,
  title  = {Variants into minimal logic of the Kuroda negative translation},
  author = {Jaime Gaspar},
  journal= {arXiv preprint arXiv:1108.0634},
  year   = {2013}
}