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Inheritance of Multiple Identity Conditions in Order-Sorted Logic

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AI 2004: Advances in Artificial Intelligence (AI 2004)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3339))

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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.

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Tun, N.N., Tojo, S. (2004). Inheritance of Multiple Identity Conditions in Order-Sorted Logic. In: Webb, G.I., Yu, X. (eds) AI 2004: Advances in Artificial Intelligence. AI 2004. Lecture Notes in Computer Science(), vol 3339. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30549-1_121

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  • DOI: https://doi.org/10.1007/978-3-540-30549-1_121

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24059-4

  • Online ISBN: 978-3-540-30549-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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