Baader, F.; Ganter, B.; Sertkaya, B. & Sattler, U. (2007), Completing Description Logic Knowledge Bases Using Formal Concept
Analysis., in Manuela M. Veloso, ed., 'IJCAI' , pp. 230-235 .
[BibTeX] [Endnote]

Baader, F.; Ganter, B.; Sertkaya, B. & Sattler, U. (2007), Completing description logic knowledge bases using formal concept analysis, in 'Proceedings of the 20th international joint conference on Artifical intelligence' , Morgan Kaufmann Publishers Inc., San Francisco, CA, USA , pp. 230--235 .
[BibTeX] [Endnote]

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.

Baader, F.; Ganter, B.; Sertkaya, B. & Sattler, U. (2007), Completing Description Logic Knowledge Bases Using Formal Concept Analysis, in Manuela M. Veloso, ed., 'IJCAI' , pp. 230-235 .
[BibTeX] [Endnote]

2006

Rudolph, S. (2006), Relational Exploration - Combining Description Logics and Formal Concept Analysis for Knowledge Specification , Universitätsverlag Karlsruhe .
[BibTeX] [Endnote]

2004

Baader, F. & Sertkaya, B. (2004), Applying Formal Concept Analysis to Description Logics., in Peter W. Eklund, ed., 'Concept Lattices' , Springer, Berlin/Heidelberg , pp. 261--286 .
[BibTeX] [Endnote]

Given a finite set $C := C_1, C_n$ of description logic concepts, we are interested in computing the subsumption hierarchy of all least common subsumers of subsets of $C$ as well as the hierarchy of all conjunctions of subsets of $C$. These hierarchies can be used to support the bottom-up construction of description logic knowledge bases. The point is to compute the first hierarchy without having to compute the least common subsumer for all subsets of $C$, and the second hierarchy without having to check all possible pairs of such conjunctions explicitly for subsumption. We will show that methods from formal concept analysis developed for computing concept lattices can be employed for this purpose.

2003

Baader, F.; Calvanese, D.; McGuinness, D. L.; Nardi, D. & Patel-Schneider, P. F., ed. (2003), The description logic handbook: theory, implementation, and applications , Cambridge University Press , New York, NY, USA .
[BibTeX] [Endnote]

Grosof, B.; Horrocks, I.; Volz, R. & Decker, S. (2003), Description Logic Programs: Combining Logic Programs with Description Logics, in 'Proc. of WWW-2003' .
[BibTeX] [Endnote]

Horrocks, I.; Patel-Schneider, P. F. & van Harmelen, F. (2003), 'From SHIQ and RDF to OWL: the making of a Web Ontology Language', Web Semantics: Science, Services and Agents on the World Wide Web 1 (1) , 7-26 .
[BibTeX] [Endnote]

The OWL Web Ontology Language is a new formal language for representing ontologies in the Semantic Web. OWL has features from several families of representation languages, including primarily Description Logics and frames. OWL also shares many characteristics with RDF, the W3C base of the Semantic Web. In this paper, we discuss how the philosophy and features of OWL can be traced back to these older formalisms, with modifications driven by several other constraints on OWL. Several interesting problems have arisen where these influences on OWL have clashed.

2001

Haarslev, V. & Moller, R. (2001), Description of the RACER System and its Applications, in D. L. McGuinness et al, ed., 'Proceedings of the 2001 International Workshop on Description Logics (DL-2001)' , CEUR Workshop Proceedings, .
[BibTeX] [Endnote]

1996

Stumme, G. (1996), The Concept Classification of a Terminology Extended by Conjunction and Disjunction, in N. Foo & R. Goebel, ed., 'PRICAI'96: Topics in Artificial Intelligence. Proc. PRICAI'96' , Springer, Heidelberg , pp. 121-131 .
[BibTeX] [Endnote]

1995

Baader, F. (1995), Computing a Minimal Representation of the Subsumption Lattice of all Conjunctions of Concepts Defined in a Terminology, in 'Proceedings of the International Symposium on Knowledge Retrieval, Use, and Storage for Efficiency, KRUSE 95' , pp. 168--178 .
[BibTeX] [Endnote]

1994

Cohen, W. W. & Hirsh, H. (1994), Learning the Classic Description Logic: Theoretical and Experimental Results., in 'KR' , pp. 121-133 .
[BibTeX] [Endnote]

Cohen, W. W. & Hirsh, H. (1994), 'The Learnability of Description Logics with Equality Constraints.', Machine Learning 17 (2-3) , 169-199 .
[BibTeX] [Endnote]