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Decision Procedures for Expressive Description Logics with Intersection, Composition, Converse of Roles and Role Identity

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Proceedings of the Seventeenth International Joint Conference on Artificial Intelligence. Pages 193-197.

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 intersection u, composition ◦, union t, converse ·− of roles and role identity id(·). We show that 1. the satisfiability of ALC(u,◦, t), for which a 2-EXPTIME upper bound was given by treeautomata techniques, is PSPACE-complete; 2. the satisfiability of ALC(u,◦, t, ·−, id(·)), an open problem so far, is in NEXPTIME.

Fabio Massacci. 2001. Decision Procedures for Expressive Description Logics with Intersection, Composition, Converse of Roles and Role Identity. In Proceedings of the Seventeenth International Joint Conference on Artificial Intelligence, IJCAI-01. IJCAI, 193–197. https://ijcai.org/proceedings/2001/26
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