Category Theory in Ontology Research: Concrete Gain from an Abstract Approach

TitleCategory Theory in Ontology Research: Concrete Gain from an Abstract Approach
Publication TypeMiscellaneous
Year of Publication2005
AuthorsMarkus Krotzsch, Marc Ehrig, York Sure
Abstract

The focus of research on representing and reasoning with knowledge traditionally has been on single specifications and appropriate inference paradigms to draw conclusions from such data. Accordingly, this is also an essential aspect of ontology research which has received much attention in recent years. But ontologies introduce another new challenge based on the distributed nature of most of their applications, which requires to relate heterogeneous ontological specifications and to integrate information from multiple sources. These problems have of course been recognized, but many current approaches still lack the deep formal backgrounds on which todays reasoning paradigms are already founded. Here we propose category theory as a well-explored and very extensive mathematical foundation for modelling distributed knowledge. A particular prospect is to derive conclusions from the structure of those distributed knowledge bases, as it is for example needed when merging ontologies.

Full Text

Markus Krotzsch, Marc Ehrig, York Sure and Pascal Hitzler, 'Category Theory in Ontology Research: Concrete Gain from an Abstract Approach,' AIFB, Universitat Karlsruhe, Technical Report, March 2005.
year: 2005
hasURL: http://knoesis.wright.edu/faculty/pascal/resources/publications/pos_catm...