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