A Framework for Intuitionistic Grammar Logics
arXiv:2110.00798
Abstract
We generalize intuitionistic tense logics to the multi-modal case by placing grammar logics on an intuitionistic footing. We provide axiomatizations for a class of base intuitionistic grammar logics as well as provide axiomatizations for extensions with combinations of seriality axioms and what we call "intuitionistic path axioms". We show that each axiomatization is sound and complete with completeness being shown via a typical canonical model construction.
Preprint of paper published at the 4th International Conference on Logic and Argumentation (CLAR 2021)