Functional monadic ortholattices and locally finite $σ$-free polyadic ortholattices
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866910998381723648 |
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| author | Lin, Chun-Yu McDonald, Joseph |
| author_facet | Lin, Chun-Yu McDonald, Joseph |
| contents | In this paper, we show that every monadic ortholattice is isomorphic to a functional one, thereby resolving a recent question posed by Harding. We then study certain substitution-free reducts of the polyadic ortholattices, which we call locally finite $σ$-free polyadic ortholattices, and provide an analogous functional representation result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_08271 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Functional monadic ortholattices and locally finite $σ$-free polyadic ortholattices Lin, Chun-Yu McDonald, Joseph Logic 06C15, 03G15, 08B25, 06B23 In this paper, we show that every monadic ortholattice is isomorphic to a functional one, thereby resolving a recent question posed by Harding. We then study certain substitution-free reducts of the polyadic ortholattices, which we call locally finite $σ$-free polyadic ortholattices, and provide an analogous functional representation result. |
| title | Functional monadic ortholattices and locally finite $σ$-free polyadic ortholattices |
| topic | Logic 06C15, 03G15, 08B25, 06B23 |
| url | https://arxiv.org/abs/2506.08271 |