Local generation of languages: the monotonic binary sequences
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911363299803136 |
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| author | Hoyrup, Mathieu |
| author_facet | Hoyrup, Mathieu |
| contents | In a previous article, we have introduced the problem of local generation of languages, where the communication underlying the generation procedure is captured by a simplicial complex. We study in details this problem for the language of binary monotonic sequences. We prove general results and identify several classes of minimal simplicial complexes generating this language. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_05673 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Local generation of languages: the monotonic binary sequences Hoyrup, Mathieu Discrete Mathematics Combinatorics G.2.0 In a previous article, we have introduced the problem of local generation of languages, where the communication underlying the generation procedure is captured by a simplicial complex. We study in details this problem for the language of binary monotonic sequences. We prove general results and identify several classes of minimal simplicial complexes generating this language. |
| title | Local generation of languages: the monotonic binary sequences |
| topic | Discrete Mathematics Combinatorics G.2.0 |
| url | https://arxiv.org/abs/2601.05673 |