COMPLETE INTUITIONISTIC TEMPORAL LOGICS FOR TOPOLOGICAL DYNAMICS-Reference-Cited by-同舟云学术

COMPLETE INTUITIONISTIC TEMPORAL LOGICS FOR TOPOLOGICAL DYNAMICS

Published:2022-02-04 Issue:3 Volume:87 Page:995-1022
ISSN:0022-4812
Container-title:The Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

BOUDOU JOSEPH,DIÉGUEZ MARTÍN,FERNÁNDEZ-DUQUE DAVID^ORCID

Abstract

AbstractThe language of linear temporal logic can be interpreted on the class of dynamic topological systems, giving rise to the intuitionistic temporal logic

${\sf ITL}^{\sf c}_{\Diamond \forall }$

, recently shown to be decidable by Fernández-Duque. In this article we axiomatize this logic, some fragments, and prove completeness for several familiar spaces.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

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