Terminating Tableaux for SOQ with Number Restrictions on Transitive Roles.

Mark Stefan Kaminski, Gert Smolka · 2009

Abstract. We show that the description logic SOQ with number re-strictions on transitive roles is decidable by a terminating tableau cal-culus. The language decided by the calculus includes the universal role, which allows us to internalize TBox axioms. Termination of the system is achieved through pattern-based blocking. 1

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