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arXiv · 2309.10860

The Craig Interpolation Property in First-order G\"odel Logic

Seyed Mohammad Amin Khatami·Massoud Pourmahdian·Nazanin R. Tavana
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Abstract

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].

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Seyed Mohammad Amin Khatami, Massoud Pourmahdian, Nazanin R. Tavana. 2023-09-19. The Craig Interpolation Property in First-order G\"odel Logic. https://arxiv.org/abs/2309.10860

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