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Constructing Formally Verified Reasoners for the ALC Description Logic

 

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Opened Access Constructing Formally Verified Reasoners for the ALC Description Logic
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Author: Hidalgo Doblado, María José
Alonso Jiménez, José Antonio
Martín Mateos, Francisco Jesús
Ruiz Reina, José Luis
Department: Universidad de Sevilla. Departamento de Ciencias de la Computación e Inteligencia Artificial
Date: 2008
Published in: Electronic Notes in Theoretical Computer Science, 200 (3), 87-102.
Document type: Article
Abstract: Description Logics are a family of logics used to represent and reason about conceptual and terminological knowledge. Recently, its importance has been increased since they are used as a basis for the Ontology Web Language (OWL) used for the Semantic Web. In previous work, we have developed in PVS a generic framework for reasoning in the ALC description logic, proving its termination, soundness and completeness. In this paper we present the construction, from the generic framework, of a formally verified generic tableau– based algorithm for checking satisfiability of ALC –concepts. We do it using a methodology of refinements to transfer the properties from the framework to the algorithm. We also obtain some verified reasoners from the algorithm by a process of instantiation.
Cite: Hidalgo Doblado, M.J., Alonso Jiménez, J.A., Martín Mateos, F.J. y Ruiz Reina, J.L. (2008). Constructing Formally Verified Reasoners for the ALC Description Logic. Electronic Notes in Theoretical Computer Science, 200 (3), 87-102.
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URI: https://hdl.handle.net/11441/86251

DOI: 10.1016/j.entcs.2008.04.094

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