The Distributed Ontology Language (DOL): Ontology Integration and Interoperability Applied to Mathematical Formalization

  • Christoph Lange
  • Oliver Kutz
  • Till Mossakowski
  • Michael Grüninger
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7362)

Abstract

The Distributed Ontology Language (DOL) is currently being standardized within the OntoIOp (Ontology Integration and Interoperability) activity of ISO/TC 37/SC 3. It aims at providing a unified framework for (1) ontologies formalized in heterogeneous logics, (2) modular ontologies, (3) links between ontologies, and (4) annotation of ontologies. This paper focuses on an application of DOL’s meta-theoretical features in mathematical formalization: validating relationships between ontological formalizations of mathematical concepts in COLORE (Common Logic Repository), which provide the foundation for formalizing real-world notions such as spatial and temporal relations.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Christoph Lange
    • 1
    • 2
  • Oliver Kutz
    • 1
  • Till Mossakowski
    • 1
    • 3
  • Michael Grüninger
    • 4
  1. 1.Research Center on Spatial CognitionUniversity of BremenGermany
  2. 2.School of Computer ScienceUniversity of BirminghamUK
  3. 3.DFKI GmbH BremenGermany
  4. 4.Department of Mechanical and Industrial EngineeringUniversity of TorontoCanada

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