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A Proof Theory for Description LogicsIntroduction

A Proof Theory for Description Logics: Introduction [Description Logics (DLs) are quite well-established as underlying logics for Knowledge Representation (KR). In a broader sense, a Knowledge Base (KB) specified in any description logic is called an Ontology. In this book, we are not interested in the technological concerns around Ontologies. For us, a DL theory, that is, a set of axioms in the DL logical language, and, an OWL file containing the same set of axioms is the same KB. Research in DL, since the beginning, was oriented to the development of systems and to their use in applications. Despite the higher efficiency of the recent available DL systems they do not provide to ontology engineers a good support for explanations of entailments like answering whether a subsumption holds or not, query or classification of concepts and roles of an ontology. This book is our first step in the direction of contract deduction systems with better explanation support.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Proof Theory for Description LogicsIntroduction

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Publisher
Springer London
Copyright
© The Author(s) 2012
ISBN
978-1-4471-4001-6
Pages
1 –7
DOI
10.1007/978-1-4471-4002-3_1
Publisher site
See Chapter on Publisher Site

Abstract

[Description Logics (DLs) are quite well-established as underlying logics for Knowledge Representation (KR). In a broader sense, a Knowledge Base (KB) specified in any description logic is called an Ontology. In this book, we are not interested in the technological concerns around Ontologies. For us, a DL theory, that is, a set of axioms in the DL logical language, and, an OWL file containing the same set of axioms is the same KB. Research in DL, since the beginning, was oriented to the development of systems and to their use in applications. Despite the higher efficiency of the recent available DL systems they do not provide to ontology engineers a good support for explanations of entailments like answering whether a subsumption holds or not, query or classification of concepts and roles of an ontology. This book is our first step in the direction of contract deduction systems with better explanation support.]

Published: May 17, 2012

Keywords: Description logic; ALC; Deduction system; Proof theory; Proof explanation; Sequent calculus; Natural deduction

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