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This book introduces reasoning with Web ontologies in logic databases. The book shows how the Semantic Web technology can be implemented with off-the-shelf open source databases. The book focuses largely on the Web ontology language (OWL), an international standard that has been defined by the World Wide Web Consortium (W3C). The book provides a wealth of practical information and describes the implementation of the approach in the open source KAON framework. The book also has a wealth of information for the theoretically inclined, it introduces all involved logics such as the logic programming paradigm and description logics and it shows how those logics relate to each other.