Craig Interpolation for Subgeometric Logics
Logic
2026-01-29 v2 Category Theory
Abstract
We show that a vast class of finitary fragments of geometric logic admit a form of Craig interpolation property. In doing so, we provide a new dictionary to import technology from algebraic logic to categorical logic.
Cite
@article{arxiv.2601.11221,
title = {Craig Interpolation for Subgeometric Logics},
author = {Ivan Di Liberti and Lingyuan Ye},
journal= {arXiv preprint arXiv:2601.11221},
year = {2026}
}
Comments
Some minor revisions; fixed cleveref problem