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On the Relationship between Description Logic-based and F-Logic-based Ontologies

de Bruijn J., Heymans S.

Fundamenta Informaticae

2008

Vol. 82, nr 3

213-236

Many popular ontology languages are based on (subsets of) first-order predicate logic, with classes represented by unary predicates and properties by binary predicates. Specifically, the Semantic Web ontology language OWL DL is based on the Description Logic SHOIN. F-Logic is an ontology language which is also based on first-order logic, but classes and properties are modeled as terms rather than predicates. Our goal is to enable interoperation between predicate-based and F-Logic-based ontology languages. To this end, we define an intuitive translation from predicate-based ontologies to F-Logic ontologies and show that this translation preserves entailment for large classes of ontology languages, including most of OWL DL. Specifically, we define the class of equality-safe (E-safe) formulas, show that the Description Logic SHIQis E-safe, and show that the translation preserves validity of E-safeformulas. We use these results to close the open problem of layering F-Logic programming on top of Description Logic Programs and we show that our results apply to HILOG, a syntactically higher-order, but semantically first-order language. Finally, we show that our results also apply to a meta-modeling extension for Description Logics (v -semantics).