Inheritance of multiple identity conditions in order-sorted logic

  • Authors:
  • Nwe Ni Tun;Satoshi Tojo

  • Affiliations:
  • Japan Advanced Institute of Science and Technology;Japan Advanced Institute of Science and Technology

  • Venue:
  • AI'04 Proceedings of the 17th Australian joint conference on Advances in Artificial Intelligence
  • Year:
  • 2004

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Abstract

Guarino and Welty have developed the notion of identity condition (IC) as a subsumption constraint of ontological analysis, that is, IC must be inherited or carried among sorts In practical cases, a sort is often regarded to carry more than one identity condition via inheritance Thus, we provided the idea of multiple ICs in [8] Here, we extend our idea in order-sorted logic because this logic is one of the most promising ways to treat a sort ontology For this purpose, we reconsider the definition of identity and rigidity in terms of order-sorted language and possible world semantics Then, we propose an inheritance mechanism of identity conditions in order to solve subsumption inconsistency among sorts We present a practical example of knowledge management to illustrate the advantages of our formalism.