The fork and its role in unification of closure algebras
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866912794502234112 |
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| author | Düntsch, Ivo Dzik, Wojciech |
| author_facet | Düntsch, Ivo Dzik, Wojciech |
| contents | We consider the two-pronged fork frame $F$ and the variety $\mathbf{Eq}(B_F)$ generated by its dual closure algebra $B_F$. We describe the finite projective algebras in $\mathbf{Eq}(B_F)$ and give a purely semantic proof that unification in $\mathbf{Eq}(B_F)$ is finitary and not unitary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_16824 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The fork and its role in unification of closure algebras Düntsch, Ivo Dzik, Wojciech Logic in Computer Science Rings and Algebras 03B45 03B70 03G25 We consider the two-pronged fork frame $F$ and the variety $\mathbf{Eq}(B_F)$ generated by its dual closure algebra $B_F$. We describe the finite projective algebras in $\mathbf{Eq}(B_F)$ and give a purely semantic proof that unification in $\mathbf{Eq}(B_F)$ is finitary and not unitary. |
| title | The fork and its role in unification of closure algebras |
| topic | Logic in Computer Science Rings and Algebras 03B45 03B70 03G25 |
| url | https://arxiv.org/abs/2309.16824 |