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A Decidable Extension of SRIQ with Disjunctions in Complex Role Inclusion Axioms.

Milenko Mosurović, Henson Graves, Nenad B. Krdzavac

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Abstract

Abstract. This paper establishes the decidability of SR ⊔ IQ which has composition-based role Inclusion axioms (RIAs) of the form R1 ◦ · · · ◦ Rn ˙⊑T1 ⊔ · · · ⊔ Tm. Also the consistency of an Abox A of SR ⊔ IQ DL w.r.t. Rbox R is established. Motivation for this kind of RIAs comes from applications in the field of manufactured products as well as other conceptual modeling applications such as family relationships. The solution is based on a tableau algorithm.

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What this paper is about

Abstract. This paper establishes the decidability of SR ⊔ IQ which has composition-based role Inclusion axioms (RIAs) of the form R1 ◦ · · · ◦ Rn ˙⊑T1 ⊔ · · · ⊔ Tm. Also the consistency of an Abox A of SR ⊔ IQ DL w.r.t. Rbox R is established. Motivation for this kind of RIAs comes from applications in the field of manufactured products as well as other conceptual modeling applications such as family relationships. The solution is based on a tableau algorithm.

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Available abstract

Abstract. This paper establishes the decidability of SR ⊔ IQ which has composition-based role Inclusion axioms (RIAs) of the form R1 ◦ · · · ◦ Rn ˙⊑T1 ⊔ · · · ⊔ Tm. Also the consistency of an Abox A of SR ⊔ IQ DL w.r.t. Rbox R is established. Motivation for this kind of RIAs comes from applications in the field of manufactured products as well as other conceptual modeling applications such as family relationships. The solution is based on a tableau algorithm.

Key concepts: Decidability, Axiom, Extension (predicate logic), Consistency (knowledge bases), Computer science, Inclusion (mineral), Field (mathematics), Theoretical computer science

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