Revisiting Interpolation in Relevant Logics

Fuente: arXiv
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Main Authors: Fussner, Wesley, Tedder, Andrew
Format: Preprint
Published: 2025
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author Fussner, Wesley
Tedder, Andrew
author_facet Fussner, Wesley
Tedder, Andrew
contents There are exactly two maximal schematic extensions of the relevant logic R with the variable sharing property. We establish that one of them has a strong form of interpolation for deducibility, thereby giving an example of a well-known relevant logic with interpolation.
format Preprint
id arxiv_https___arxiv_org_abs_2511_22495
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Revisiting Interpolation in Relevant Logics
Fussner, Wesley
Tedder, Andrew
Logic
Logic in Computer Science
03A05 (Primary), 03B47, 03C40 (Secondary)
There are exactly two maximal schematic extensions of the relevant logic R with the variable sharing property. We establish that one of them has a strong form of interpolation for deducibility, thereby giving an example of a well-known relevant logic with interpolation.
title Revisiting Interpolation in Relevant Logics
topic Logic
Logic in Computer Science
03A05 (Primary), 03B47, 03C40 (Secondary)
url https://arxiv.org/abs/2511.22495