The Disjunction-Free Fragment of D2 is Three-Valued
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916547057942528 |
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| author | Omori, Hitoshi |
| author_facet | Omori, Hitoshi |
| contents | In this article, the disjunction-free fragment of Jaśkowski's discussive logic D2 in the language of classical logic is shown to be complete with respect to three- and four-valued semantics. As a byproduct, a rather simple axiomatization of the disjunction-free fragment of D2 is obtained. Some implications of this result are also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00501 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Disjunction-Free Fragment of D2 is Three-Valued Omori, Hitoshi Logic in Computer Science In this article, the disjunction-free fragment of Jaśkowski's discussive logic D2 in the language of classical logic is shown to be complete with respect to three- and four-valued semantics. As a byproduct, a rather simple axiomatization of the disjunction-free fragment of D2 is obtained. Some implications of this result are also discussed. |
| title | The Disjunction-Free Fragment of D2 is Three-Valued |
| topic | Logic in Computer Science |
| url | https://arxiv.org/abs/2501.00501 |