Simple Semiconcept Graphs: A Boolean Logic Approach

  • Authors:
  • Julia Klinger

  • Affiliations:
  • -

  • Venue:
  • ICCS '01 Proceedings of the 9th International Conference on Conceptual Structures: Broadening the Base
  • Year:
  • 2001

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Abstract

The aim of this paper is to develop a logical theory of concept graphs with negation. For this purpose, we introduce semiconcept graphs as syntactical constructs and define their semantics based on power context families. Then a standard power context family is constructed which serves both as a characterization of the entailment relation and as a mechanism to translate knowledge given on the graph level to the context level. A standard graph is constructed which entails all semiconcept graphs valid in a given power context family. The possible use of semi-concept graphs in conceptual knowledge processing is illustrated by an example.