Local generation of languages: the monotonic binary sequences

Published 9 Jan 2026 in cs.DM and math.CO | (2601.05673v1)

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

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