%0 Journal Article %1 abdulla2024birkhoff %A Abdulla, Mohammad %A Hirth, Johannes %A Stumme, Gerd %D 2024 %K fca myown %T The Birkhoff completion of finite lattices %X We introduce the Birkhoff completion as the smallest dis- tributive 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.

@article{abdulla2024birkhoff, abstract = {We introduce the Birkhoff completion as the smallest dis- tributive 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.}, added-at = {2024-04-17T10:15:39.000+0200}, author = {Abdulla, Mohammad and Hirth, Johannes and Stumme, Gerd}, biburl = {https://www.bibsonomy.org/bibtex/259749eb2797ad9ae2118a0743f57f5af/hirth}, interhash = {355b596181c1da2be951cc376f8bdf9d}, intrahash = {59749eb2797ad9ae2118a0743f57f5af}, keywords = {fca myown}, timestamp = {2024-04-17T10:15:51.000+0200}, title = {The Birkhoff completion of finite lattices}, year = 2024 }