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Published in:
2009 | OriginalPaper | Chapter
Decidability of with Transitive Closure of Roles
Author : Chan Le Duc
Published in: The Semantic Web: Research and Applications
Publisher: Springer Berlin Heidelberg
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This paper investigates a Description Logic, namely
$\mathcal{SHI}_+$
, which extends
$\mathcal{SHI}$
by adding transitive closure of roles. The resulting logic
$\mathcal{SHI}_+$
allows transitive closure of roles to occur not only in concept inclusion axioms but also in role inclusion axioms. We show that
$\mathcal{SHI}_+$
is decidable by devising a terminating, sound and complete algorithm for deciding satisfiability of concepts in
$\mathcal{SHI}_+$
with respect to a set of concept and role inclusion axioms.