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arXiv · 2601.05673

Local generation of languages: the monotonic binary sequences

Mathieu Hoyrup
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Abstract

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.

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Mathieu Hoyrup. 2026-01-09. Local generation of languages: the monotonic binary sequences. https://arxiv.org/abs/2601.05673

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