The Craig Interpolation Property in First-order Gödel Logic
Seyed Mohammad Amin Khatami, Massoud Pourmahdian, N. R. Tavana · arXiv (Cornell University) · 2023
In this article, a model-theoretic approach is proposed to prove that the first-order Gödel logic, $\mathbf{G}$, as well as its extension $\mathbf{G}^Δ$ 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 Gödel logic].