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Decision procedures for expressive description logics with intersection, composition, converse of roles and role identity

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Abstract

In the quest for expressive description logics for real-world applications, a powerful combination of constructs has so far eluded practical decision procedures: intersection and composition of roles. We propose tableau-based decision procedures for the satisfiability of logics extending ALC with the intersectionSquare cap, composition○, unionSquare cup, converse· - of roles and role identity id(·). We show that 1. the satisfiability of ALC(Square cap,○, Square cup), for which a 2-EXPTIME upper bound was given by tree-automata techniques, is PSPACE-complete; 2. the satisfiability of ALC(Square cap,○, Square cup·-, id(·)), an open problem so far, is in NEXPTIME.
Original languageEnglish
Title of host publication17th International Joint Conference on Artificial Intelligence, IJCAI 2001
Pages193-198
Publication statusPublished - 2001
Externally publishedYes
Event17th International Joint Conference on Artificial Intelligence, IJCAI 2001 - , United States
Duration: 4 Aug 200110 Aug 2001

Publication series

NameIJCAI International Joint Conference on Artificial Intelligence
ISSN (Print)1045-0823

Conference

Conference17th International Joint Conference on Artificial Intelligence, IJCAI 2001
Country/TerritoryUnited States
Period4/08/0110/08/01

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