Structural Completeness in bi-IPC
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916886648717312 |
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| author | Almeida, Rodrigo Nicolau Bezhanishvili, Nick |
| author_facet | Almeida, Rodrigo Nicolau Bezhanishvili, Nick |
| contents | In this note we show that no extension of bi-intuitionistic logic, except for classical logic, is structurally complete; indeed, none of them are passively structurally complete. A direct proof of active structural completeness is given for some simple systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_05682 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Structural Completeness in bi-IPC Almeida, Rodrigo Nicolau Bezhanishvili, Nick Logic In this note we show that no extension of bi-intuitionistic logic, except for classical logic, is structurally complete; indeed, none of them are passively structurally complete. A direct proof of active structural completeness is given for some simple systems. |
| title | Structural Completeness in bi-IPC |
| topic | Logic |
| url | https://arxiv.org/abs/2508.05682 |