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The Birkhoff completion of finite lattices

arXiv 2405.02342 ↗First posted 2 May 2024cs.DM cs.AI cs.LOcited by 1

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Abstract (arXiv)

We introduce the Birkhoff completion as the smallest distributive lattice in which a given finite lattice can be embedded as semi-lattice. We discuss its relationship to implicational theories, in particular to R. Wille's simply-implicational theories. By an example, we show how the Birkhoff completion can be used as a tool for ordinal data science.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Builds on 0 of its 12 references that are in the map. First posted on arXiv 2 May 2024.

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  1. 2025Rises for Measuring Local Distributivity in Latticescited by 0