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Article type: Research Article
Authors: de Bruijn, Jos | Heymans, Stijn
Affiliations: Faculty of Computer Science, Free University of Bozen-Bolzano, Piazza Domenicani 3, Bolzano, Italy. E-mail: [email protected] | Digital Enterprise Research Institute (DERI), University of Innsbruck, Technikerstrasse 21a, Innsbruck, Austria. E-mail: [email protected]
Abstract: 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 SemanticWeb 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 SHIQ is E-safe, and show that the translation preserves validity of E-safe formulas. 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).
Keywords: frame logic, ontology translation, ontology meta-modeling, equality-safe formulas, semantic web language layering, f-logic programming
Journal: Fundamenta Informaticae, vol. 82, no. 3, pp. 213-236, 2008
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