تقرير
The interdefinability of expansions of Belnap-Dunn logic
| العنوان: | The interdefinability of expansions of Belnap-Dunn logic |
|---|---|
| المؤلفون: | Middelburg, C. A. |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Computer Science - Logic in Computer Science, Mathematics - Logic, 03B50 (Primary) |
| الوصف: | Belnap-Dunn logic, also knows as the logic of First-Degree Entailment, is a logic that can serve as the underlying logic of theories that are inconsistent or incomplete. For various reasons, different expansions of Belnap-Dunn logic with non-classical connectives have been studied. This paper investigates the question whether those expansions are interdefinable with an expansion whose connectives include only classical connectives. This is worth knowing because it is difficult to say how close a logic with non-classical connectives is related to classical logic. The notion of interdefinability of logics used is based on a general notion of definability of a connective in a logic that seems to have been forgotten. Comment: 18 pages. arXiv admin note: text overlap with arXiv:2301.10555 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.04641 |
| رقم الأكسشن: | edsarx.2403.04641 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |