English

Realizability in OCAs and AKSs

Logic 2015-12-25 v1

Abstract

In the context of the OCA\mathcal{OCA} associated to an AKS{\mathcal{AKS}} we introduce a closure operator and two associated maps that replace the closure and the maps defined in \cite{kn:ocar}. We were motivated by the search of a full adjunction to the original implication map. We show that all the constructions from OCA\mathcal{OCA}s to triposes developped in \cite{kn:ocar} can be also implemented in the new situation.

Cite

@article{arxiv.1512.07879,
  title  = {Realizability in OCAs and AKSs},
  author = {Walter Ferrer Santos and Mauricio Guillermo and Octavio Malherbe},
  journal= {arXiv preprint arXiv:1512.07879},
  year   = {2015}
}
R2 v1 2026-06-22T12:17:43.825Z