Topological semantics for a non-self-extensional LFI
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912690333548544 |
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| author | Jain, Esha Basu, Sankha S. |
| author_facet | Jain, Esha Basu, Sankha S. |
| contents | In this article, we have introduced a Logic of Formal Inconsistency (LFI) that we call $\vd$. This logic is non-self-extensional, i.e., the replacement property, or the rule for substitution of equivalents, does not hold. A Hilbert-style presentation for the logic has been provided. Then, a topological semantics for $\vd$ has been described, subsequent to which we have established the Soundness and Completeness results for it with respect to this semantics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04116 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological semantics for a non-self-extensional LFI Jain, Esha Basu, Sankha S. Logic 03B53, 03B60, 03B50 In this article, we have introduced a Logic of Formal Inconsistency (LFI) that we call $\vd$. This logic is non-self-extensional, i.e., the replacement property, or the rule for substitution of equivalents, does not hold. A Hilbert-style presentation for the logic has been provided. Then, a topological semantics for $\vd$ has been described, subsequent to which we have established the Soundness and Completeness results for it with respect to this semantics. |
| title | Topological semantics for a non-self-extensional LFI |
| topic | Logic 03B53, 03B60, 03B50 |
| url | https://arxiv.org/abs/2511.04116 |