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On the compactness property of extensions of first-order G"{o}del logic | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 6، دوره 12، شماره 4، آبان 2015، صفحه 101-121 اصل مقاله (413.46 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2015.2087 | ||
| نویسندگان | ||
| Seyed Mohammad Amin Khatami1؛ Massoud Pourmahdian* 2 | ||
| 1Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran | ||
| 2Department of Mathematics and Computer Science, Amirk- abir University of Technology, Tehran, Iran | ||
| چکیده | ||
| We study three kinds of compactness in some variants of G"{o}del logic: compactness, entailment compactness, and approximate entailment compactness. For countable first-order underlying language we use the Henkin construction to prove the compactness property of extensions of first-order g logic enriched by nullary connective or the Baaz's projection connective. In the case of uncountable first-order language we use the ultraproduct method to derive the compactness theorem. | ||
| کلیدواژهها | ||
| G"{o}del logic؛ Compactness theorem | ||
| مراجع | ||
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