%0 Conference Paper %1 10.1007/978-3-031-67868-4_2 %A Abdulla, Mohammad %A Hirth, Johannes %A Stumme, Gerd %B Conceptual Knowledge Structures %C Cham %D 2024 %E Cabrera, Inma P. %E Ferré, Sébastien %E Obiedkov, Sergei %I Springer Nature Switzerland %K 2024 fca itegpub kde myown sai %P 20--35 %T The Birkhoff Completion of Finite Lattices %X 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. %@ 978-3-031-67868-4

@inproceedings{10.1007/978-3-031-67868-4_2, abstract = {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.}, added-at = {2024-10-11T11:20:13.000+0200}, address = {Cham}, author = {Abdulla, Mohammad and Hirth, Johannes and Stumme, Gerd}, biburl = {https://www.bibsonomy.org/bibtex/2295c39417c8443a31a7aab2a003f0f32/hirth}, booktitle = {Conceptual Knowledge Structures}, editor = {Cabrera, Inma P. and Ferré, Sébastien and Obiedkov, Sergei}, interhash = {355b596181c1da2be951cc376f8bdf9d}, intrahash = {295c39417c8443a31a7aab2a003f0f32}, isbn = {978-3-031-67868-4}, keywords = {2024 fca itegpub kde myown sai}, pages = {20--35}, publisher = {Springer Nature Switzerland}, timestamp = {2024-12-04T13:42:33.000+0100}, title = {The Birkhoff Completion of Finite Lattices}, year = 2024 }