Abstract
Computing least common subsumers (lcs) and most specific concepts (msc) are inference tasks that can be used to support the “bottom up” construction of knowledge bases for KR systems based on description logic. For the description logic ALN, the msc need not always exist if one restricts the attention to acyclic concept descriptions. In this paper, we extend the notions lcs and msc to cyclic descriptions, and show how they can be computed.
Supported by “Studienstiftung des deutschen Volkes”.
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F. Baader. A formal definition for the expressive power of terminological knowledge representation languages. J. of Logic and Computation, 6 (1): 33–54, 1996.
F. Baader. Using automata theory for characterizing the semantics of terminological cycles. Annals of Mathematics and Artificial Intelligence, 18 (2–4): 175–219, 1996.
F. Baader and B. Hollunder. A terminological knowledge representation system with complete inference algorithms. In Proceedings of the First International Workshop on Processing Declarative Knowledge, volume 572 of Lecture Notes in Computer Science, pages 67–85, Kaiserslautern (Germany), 1991. Springer-Verlag.
F. Baader and R. Küsters. Computing the least common subsumer and the most specific concept in the presence of cyclic ALN-concept descriptions. Technical Report LTCS-Report 98-06, LuFg Theoretical Computer Science, RWTH Aachen, Germany, 1998. See http://www-lti.informatik.rwthaachen.de/Forschung/Papers.html.
F. Baader and U. Sattler. Knowledge representation in process engineering. In Proceedings of the International Workshop on Description Logics, Cambridge (Boston), MA, U.S.A., 1996. AAAI Press/The MIT Press.
A. Borgida, R. J. Brachman, D. L. McGuinness, and L. A. Resnick. CLASSIC: A structural data model for objects. In Proceedings of the 1989 ACM SIGMOD International Conference on Management of Data, pages 59–67, Portland, OR, 1989.
W. W. Cohen, A. Borgida, and H. Hirsh. Computing least common subsumers in description logics. In William Swartout, editor, Proceedings of the 10th National Conference on Artificial Intelligence, pages 754–760, San Jose, CA, July 1992. MIT Press.
W. W. Cohen and H. Hirsh. Learnability of description logics with equality constrains. Machine Learning, 17 (2/3), 1994.
W. W. Cohen and H. Hirsh. Learning the classic description logic: Theoretical and experimental results. In Proceedings of the Fourth International Confrence on Principles of Knowledge Representation and Reasoning (KR’94), pages 121–133, San Francisco, Calif., 1994. Morgan Kaufmann.
J.-U. Kietz and K. Mork. A polynomial approach to the constructive induction of structural knowledge. Machine Learning Journal, 14 (2): 193–218, 1994.
R. Küsters. Characterizing the semantics of terminological cycles in ALN using finite automata. In Proceedings of the Sixth International Conference on Principles of Knowledge Representation and Reasoning (KR’98), pages 499–510, Trento, Italy, 1998.
B. Nebel. Terminological cycles: Semantics and computational properties. In J. Sowa, editor, Formal Aspects of Semantic Networks, pages 331–361. Morgan Kaufmann, San Mateo, 1991.
W. A. Woods and J. G. Schmolze. The KL-ONE family, Computers and Mathematics with Applications, special issue on knowledge representation, 23 (2–5): 133–177, 1991.
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© 1998 Springer-Verlag Berlin Heidelberg
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Baader, F., Küsters, R. (1998). Computing the least common subsumer and the most specific concept in the presence of cyclic ALN-concept descriptions. In: Herzog, O., Günter, A. (eds) KI-98: Advances in Artificial Intelligence. KI 1998. Lecture Notes in Computer Science, vol 1504. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0095434
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DOI: https://doi.org/10.1007/BFb0095434
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