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» A Description Logic with Transitive and Inverse Roles and Ro...
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DLOG
2009
13 years 4 months ago
Terminating Tableaux for SOQ with Number Restrictions on Transitive Roles
Abstract. We show that the description logic SOQ with number restrictions on transitive roles is decidable by a terminating tableau calculus. The language decided by the calculus i...
Mark Kaminski, Gert Smolka
FTP
1998
Springer
13 years 11 months ago
Issues of Decidability for Description Logics in the Framework of Resolution
Abstract. We describe two methods on the basis of which efficient resolution decision procedures can be developed for a range of description logics. The first method uses an orderi...
Ullrich Hustadt, Renate A. Schmidt
ESWS
2009
Springer
14 years 1 months ago
Decidability of SHI with Transitive Closure of Roles
This paper investigates a Description Logic, namely SHI+, which extends SHI by adding transitive closure of roles. The resulting logic SHI+ allows transitive closure of roles to oc...
Chan Le Duc
TABLEAUX
2009
Springer
14 years 1 months ago
Terminating Tableaux for Graded Hybrid Logic with Global Modalities and Role Hierarchies
We present a terminating tableau calculus for graded hybrid logic with global modalities, reflexivity, transitivity and role hierarchies. Termination of the system is achieved thr...
Mark Kaminski, Sigurd Schneider, Gert Smolka
IJCAI
2003
13 years 8 months ago
Decidability of SHIQ with Complex Role Inclusion Axioms
Motivated by medical terminology applications, we investigate the decidability of the well known expressive DL, SHIQ, extended with role inclusion axioms (RIAs) of the form R ◦ ...
Ian Horrocks, Ulrike Sattler