English

An intuitionistic axiomatization of `eventually'

Logic 2018-04-11 v1

Abstract

Boudou and the authors have recently introduced the intuitionistic temporal logic ITLe\sf ITL^e and shown it to be decidable. In this article we show that the `henceforth'-free fragment of this logic is complete for the class of non-deterministic quasimodels introduced by Fern\'andez-Duque. From this and results of Boudou, Romero and the authors, we conclude that this fragment is also complete for the standard semantics of ITLe\sf ITL^e over the class of expanding posets.

Keywords

Cite

@article{arxiv.1804.03217,
  title  = {An intuitionistic axiomatization of `eventually'},
  author = {Martín Diéguez and David Fernández-Duque},
  journal= {arXiv preprint arXiv:1804.03217},
  year   = {2018}
}
R2 v1 2026-06-23T01:18:32.896Z