The modal theory of linear orders
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910218761273344 |
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| author | Wołoszyn, Wojciech Aleksander |
| author_facet | Wołoszyn, Wojciech Aleksander |
| contents | I study the modal theory of linear orders under embeddings, monotone maps, condensations, and end-extensions. I prove modality elimination for embeddings and monotone maps, show that condensations make scatteredness modally definable, and compute exact propositional modal validities in the main cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_14182 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The modal theory of linear orders Wołoszyn, Wojciech Aleksander Logic 03B45, 03C64, 06A05 I study the modal theory of linear orders under embeddings, monotone maps, condensations, and end-extensions. I prove modality elimination for embeddings and monotone maps, show that condensations make scatteredness modally definable, and compute exact propositional modal validities in the main cases. |
| title | The modal theory of linear orders |
| topic | Logic 03B45, 03C64, 06A05 |
| url | https://arxiv.org/abs/2605.14182 |