Britz, KMeyer, TVarzinczak, I2011-12-132011-12-132011-12Britz, K, Meyer , T and Varzinczak, I. 2011. Semantic foundation for preferential description logics. 24th Australasian Joint Conference on Artificial Intelligence, Perth, Australia, 5-8 December 2011http://hdl.handle.net/10204/539624th Australasian Joint Conference on Artificial Intelligence, Perth, Australia, 5-8 December 2011Description logics are a well-established family of knowledge representation formalisms in Artificial Intelligence. Enriching description logics with non-monotonic reasoning capabilities, especially preferential reasoning as developed by Lehmann and colleagues in the 90's, would therefore constitute a natural extension of such KR formalisms. Nevertheless, there is at present no generally accepted semantics, with corresponding syntactic characterization, for preferential consequence in description logics. In this paper the authors fill this gap by providing a natural and intuitive semantics for defeasible subsumption in the description logic ALC. Their semantics replace the propositional valuations used in the models of Lehmann et al. with structures that they refer to as concept models. They present representation results for the description logic ALC for both preferential and rational consequence relations. They argue that their semantics pave the way for extending preferential and rational consequence, and therefore also rational closure, to a whole class of logics that have a semantics defined in terms of first-order relational structures.enDescription logicsArtificial intelligenceSemanticsConference PresentationBritz, K., Meyer, T., & Varzinczak, I. (2011). Semantic foundation for preferential description logics. http://hdl.handle.net/10204/5396Britz, K, T Meyer, and I Varzinczak. "Semantic foundation for preferential description logics." (2011): http://hdl.handle.net/10204/5396Britz K, Meyer T, Varzinczak I, Semantic foundation for preferential description logics; 2011. http://hdl.handle.net/10204/5396 .TY - Conference Presentation AU - Britz, K AU - Meyer, T AU - Varzinczak, I AB - Description logics are a well-established family of knowledge representation formalisms in Artificial Intelligence. Enriching description logics with non-monotonic reasoning capabilities, especially preferential reasoning as developed by Lehmann and colleagues in the 90's, would therefore constitute a natural extension of such KR formalisms. Nevertheless, there is at present no generally accepted semantics, with corresponding syntactic characterization, for preferential consequence in description logics. In this paper the authors fill this gap by providing a natural and intuitive semantics for defeasible subsumption in the description logic ALC. Their semantics replace the propositional valuations used in the models of Lehmann et al. with structures that they refer to as concept models. They present representation results for the description logic ALC for both preferential and rational consequence relations. They argue that their semantics pave the way for extending preferential and rational consequence, and therefore also rational closure, to a whole class of logics that have a semantics defined in terms of first-order relational structures. DA - 2011-12 DB - ResearchSpace DP - CSIR KW - Description logics KW - Artificial intelligence KW - Semantics LK - https://researchspace.csir.co.za PY - 2011 T1 - Semantic foundation for preferential description logics TI - Semantic foundation for preferential description logics UR - http://hdl.handle.net/10204/5396 ER -