Sequent calculus for the subintuitionistic logic ${\sf WF_{N_{2}}} $
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910773463220224 |
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| author | Maleki, Fatemeh Shirmohammadzadeh |
| author_facet | Maleki, Fatemeh Shirmohammadzadeh |
| contents | A cut-free G3-style sequent calculus GWFN2 for the subintuitionistic logic WFN2, along with its single-succedent variant GWFsN2, is introduced. The calculus GWFN2 is shown to extend naturally to a G3-style of the sequent calculus GF for Corsis logic F. Additionally, a syntactic proof of the known embedding of GWFN2 into classical modal logic MNec is presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_02322 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sequent calculus for the subintuitionistic logic ${\sf WF_{N_{2}}} $ Maleki, Fatemeh Shirmohammadzadeh Logic A cut-free G3-style sequent calculus GWFN2 for the subintuitionistic logic WFN2, along with its single-succedent variant GWFsN2, is introduced. The calculus GWFN2 is shown to extend naturally to a G3-style of the sequent calculus GF for Corsis logic F. Additionally, a syntactic proof of the known embedding of GWFN2 into classical modal logic MNec is presented. |
| title | Sequent calculus for the subintuitionistic logic ${\sf WF_{N_{2}}} $ |
| topic | Logic |
| url | https://arxiv.org/abs/2501.02322 |