Seyed Mohammad Amin Khatami, Massoud Pourmahdian, Nazanin R. Tavana
Published 2023-09-19Version 1
In this article, a model-theoretic approach is proposed to prove that the first-order G\"odel logic, $\mathbf{G}$, as well as its extension $\mathbf{G}^\Delta$ associated with first-order relational languages enjoy the Craig interpolation property. These results partially provide an affirmative answer to a question posed in [Aguilera, Baaz, 2017, Ten problems in G\"odel logic].
On the compactness property of extensions of first-order Gödel logic
The fixed point and the Craig interpolation properties for sublogics of $\mathbf{IL}$
Interpolation in Linear Logic and Related Systems
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