Inproceedings,

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

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Conferences on Intelligent Computer Mathematics CICM 2012, volume 7362 of Lecture Notes in Computer Science, Springer, (2012)

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 ontologies formalized in heterogeneous logics, modular ontologies, links between ontologies, and 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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