English

Complete Intuitionistic Temporal Logics in Topological Dynamics

Logic in Computer Science 2019-10-03 v1

Abstract

The language of linear temporal logic can be interpreted over the class of dynamic topological systems, giving rise to the intuitionistic temporal logic ITLc,{{\sf ITL}^{\sf c}}_{\Diamond,\forall}, recently shown to be decidable by Fern\'andez-Duque. In this article we axiomatize this logic, some fragments, and prove completeness for several familiar spaces.

Keywords

Cite

@article{arxiv.1910.00907,
  title  = {Complete Intuitionistic Temporal Logics in Topological Dynamics},
  author = {Joseph Boudou and Martín Diéguez and David Fernández-Duque},
  journal= {arXiv preprint arXiv:1910.00907},
  year   = {2019}
}
R2 v1 2026-06-23T11:32:39.248Z