@inproceedings{baader2007completing, abstract = {We propose an approach for extending both the terminological and the assertional part of a Description Logic knowledge base by using information provided by the knowledge base and by a domain expert. The use of techniques from Formal Concept Analysis ensures that, on the one hand, the interaction with the expert is kept to a minimum, and, on the other hand, we can show that the extended knowledge base is complete in a certain, well-defined sense.}, acmid = {1625311}, address = {San Francisco, CA, USA}, author = {Baader, Franz and Ganter, Bernhard and Sertkaya, Baris and Sattler, Ulrike}, booktitle = {Proceedings of the 20th international joint conference on Artifical intelligence}, interhash = {8ab382f3aa141674412ba7ad33316a9b}, intrahash = {87f98ae486014ba78690ffa314b67da8}, location = {Hyderabad, India}, numpages = {6}, pages = {230--235}, publisher = {Morgan Kaufmann Publishers Inc.}, title = {Completing description logic knowledge bases using formal concept analysis}, url = {http://dl.acm.org/citation.cfm?id=1625275.1625311}, year = 2007 } @article{erne1993distributive, abstract = {We study several kinds of distributivity for concept lattices of contexts. In particular, we find necessary and sufficient conditions for a concept lattice to be(1)distributive,(2)a frame (locale, complete Heyting algebra),(3)isomorphic to a topology,(4)completely distributive,(5)superalgebraic (i.e., algebraic and completely distributive).}, affiliation = {Institut für Mathematik Universität Hannover Hannover Germany}, author = {Erné, Marcel}, doi = {10.1007/BF01195382}, interhash = {f30c769c54f5eb98962742b324651451}, intrahash = {dd7f97b10532feab21d486ebb6783939}, issn = {0002-5240}, issue = {4}, journal = {Algebra Universalis}, keyword = {Mathematics and Statistics}, pages = {538-580}, publisher = {Birkhäuser Basel}, title = {Distributive laws for concept lattices}, url = {http://dx.doi.org/10.1007/BF01195382}, volume = 30, year = 1993 } @article{GratzerLasker, author = {Gr\"atzer, George and Lakser, Henry}, interhash = {3e9031c3452bda5025b67930098e63da}, intrahash = {200d680360ef9ab42903d4ea7b947a4b}, journal = {Trans. Amer. Math. Soc.}, number = 1, pages = {385--405}, title = {On Complete Congruence Lattices of Complete Lattices}, volume = 327, year = 1991 } @article{hales1964nonexistence, author = {Hales, A. W.}, interhash = {2e2b85532b56b6caaac29b23e33f972f}, intrahash = {4d17473cee1aa8c33d821aacf2fbb95c}, journal = {Fundamentae Mathematica}, pages = {45-66}, title = {On the non-existence of free complete Boolean algebras}, url = {http://matwbn.icm.edu.pl/tresc.php?wyd=1&tom=54}, volume = 54, year = 1964 } @article{stumme98free, author = {Stumme, Gerd}, comment = {alpha}, interhash = {c5fb9e79ebca290916dac9d193033a19}, intrahash = {de157d21efb3d9723fb937be024f84cd}, journal = {{In:} {O}rder}, pages = {179-189}, title = {Free Distributive Completions of Partial Complete Lattices}, url = {http://www.kde.cs.uni-kassel.de/stumme/papers/2000/SIGKDD_Explorations00.ps}, volume = 14, year = 1998 }