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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2412.04843 |
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| _version_ | 1866912147094634496 |
|---|---|
| author | Wei, Jin |
| author_facet | Wei, Jin |
| contents | Hypersequent calculus GŁ$\forall$ for first-order Łukasiewicz logic was first introduced by Baaz and Metcalfe, along with a proof of its approximate completeness with respect to standard $[0,1]$-semantics. The completeness result was later pointed out by Gerasimov that it only applies to prenex formulas. In this paper, we will present our proof of approximate completeness of GŁ$\forall$ for arbitrary first-order formulas by generalizing the original completeness proof to hypersequents. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_04843 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Approximate Completeness of Hypersequent Calculus for First-Order Łukasiewicz Logic Wei, Jin Logic Hypersequent calculus GŁ$\forall$ for first-order Łukasiewicz logic was first introduced by Baaz and Metcalfe, along with a proof of its approximate completeness with respect to standard $[0,1]$-semantics. The completeness result was later pointed out by Gerasimov that it only applies to prenex formulas. In this paper, we will present our proof of approximate completeness of GŁ$\forall$ for arbitrary first-order formulas by generalizing the original completeness proof to hypersequents. |
| title | Approximate Completeness of Hypersequent Calculus for First-Order Łukasiewicz Logic |
| topic | Logic |
| url | https://arxiv.org/abs/2412.04843 |