The Craig Interpolation Property in First-order G\'odel Logic
| Autor: | Khatami, Seyed Mohammad Amin, Pourmahdian, Massoud, Tavana, Nazanin R. |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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]. |
| Databáze: | arXiv |
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