First-Order Fischer Servi Logic
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916119518904320 |
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| author | Christensen, Ahmee |
| author_facet | Christensen, Ahmee |
| contents | We prove the completeness of a first-order analogue of the Fischer Servi logic $\mathsf{FS}$ with respect to its expected birelational semantics. To this end we introduce the notion of the $\textit{trace model}$ and, much like in a canonical model argument, prove a truth lemma. We conclude by examining a number of other first-order Fischer Servi logics, including the first-order analogue of $\mathsf{FSS4}$, whose completeness can be similarly proved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06600 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | First-Order Fischer Servi Logic Christensen, Ahmee Logic Logic in Computer Science 03B45, 03B20 F.4.1 We prove the completeness of a first-order analogue of the Fischer Servi logic $\mathsf{FS}$ with respect to its expected birelational semantics. To this end we introduce the notion of the $\textit{trace model}$ and, much like in a canonical model argument, prove a truth lemma. We conclude by examining a number of other first-order Fischer Servi logics, including the first-order analogue of $\mathsf{FSS4}$, whose completeness can be similarly proved. |
| title | First-Order Fischer Servi Logic |
| topic | Logic Logic in Computer Science 03B45, 03B20 F.4.1 |
| url | https://arxiv.org/abs/2402.06600 |