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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.17153 |
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| _version_ | 1866913283230924800 |
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| author | Lukashov, N. V. |
| author_facet | Lukashov, N. V. |
| contents | We generalize methods, developed by S. Ghilardi, and apply them to a subsystem J$_2$ of bimodal provability logic GLB. We describe projective formulas in J$_2$ in terms of Kripke semantics and prove that logic J$_2$ has finitary unification type. As an application, we show that admissibility problem for J$_2$ is decidable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17153 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unification in subsystem J$_2$ of provability logic GLB Lukashov, N. V. Logic We generalize methods, developed by S. Ghilardi, and apply them to a subsystem J$_2$ of bimodal provability logic GLB. We describe projective formulas in J$_2$ in terms of Kripke semantics and prove that logic J$_2$ has finitary unification type. As an application, we show that admissibility problem for J$_2$ is decidable. |
| title | Unification in subsystem J$_2$ of provability logic GLB |
| topic | Logic |
| url | https://arxiv.org/abs/2403.17153 |