Craig Interpolation for Subgeometric Logics

Fuente: arXiv
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Bibliographic Details
Main Authors: Di Liberti, Ivan, Ye, Lingyuan
Format: Preprint
Published: 2026
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_version_ 1866908793888047104
author Di Liberti, Ivan
Ye, Lingyuan
author_facet Di Liberti, Ivan
Ye, Lingyuan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_11221
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Craig Interpolation for Subgeometric Logics
Di Liberti, Ivan
Ye, Lingyuan
Logic
Category Theory
03G15, 03G27, 03C40, 03B10, 03G30, 18B25, 18C10, 18A15
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.
title Craig Interpolation for Subgeometric Logics
topic Logic
Category Theory
03G15, 03G27, 03C40, 03B10, 03G30, 18B25, 18C10, 18A15
url https://arxiv.org/abs/2601.11221