The Craig Interpolation Property in First-order G\"odel Logic
Abstract
In this article, a model-theoretic approach is proposed to prove that the first-order G\"odel logic, G, as well as its extension G 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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