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Reasoning with Ontologies by Using Knowledge Conjunction in Conceptual Graphs

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On the Move to Meaningful Internet Systems 2002: CoopIS, DOA, and ODBASE (OTM 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2519))

Abstract

This paper discusses automated reasoning over ontologies represented as Conceptual Graphs. We discuss a tool which has been implemented using Conceptual Graphs as its underlying knowledge structure. The significance of this work is that we demonstrate that the power of logic as implemented in Conceptual Graphs, and the tools available in Conceptual Graph Theory can be used as powerful ontology reasoning tools in a real-world domain. We show that ontologies can be constrained and unified using efficient methods, and that these methods provide the basis for an automated reasoning system. The Conceptual Graph techniques of concept join, partial order and subsumption are all exploited to create these reasoning tools.

We discuss the implementation of these ideas, and demonstrate the software tool created in two domains: building architecture and defence. Examples show that the system can reason over these domains and assist the users in their tasks.

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References

  1. Aït-Kaci, H. and R. Nasr, LOGIN: A Logic Programming Language with Built-in Inheritance. Journal of Logic Programming, 1986. 3.

    Google Scholar 

  2. Sowa, J.F., Conceptual Structures: Information Processing in Mind and Machine. 1984, Reading, Mass: Addison-Wesley.

    Google Scholar 

  3. Sowa, J.F., Conceptual Graphs Summary, in Conceptual Structures: Current Research and Practice. 1992, Ellis Horwood: Chichester, UK.

    Google Scholar 

  4. Willems, M. Projection and Unification for Conceptual Graphs. in Proc. Third International Conference on Conceptual Structures. 1995. Santa Cruz, California, USA: Springer-Verlag.

    Google Scholar 

  5. Chein, M. and M.-L. Mugnier, Conceptual Graphs: Fundamental Notions. Revue d’Intelligence Artificielle, 1992. 6(4): p. 365–406.

    Google Scholar 

  6. Mugnier, M.-L. and M. Chein, Représenter des Connaissances et Raisonner avec des Graphes. Revue d’Intelligence Artificielle, 1996. 10(6): p. 7–56.

    MATH  Google Scholar 

  7. Corbett, D.R., Conceptual Graphs with Constrained Reasoning. Revue d’Intelligence Artificielle, 2001. 15(1): p. 87–116.

    Google Scholar 

  8. Corbett, D.R. and R.F. Woodbury. Unification over Constraints in Conceptual Graphs. in Proc. Seventh International Conference on Conceptual Structures. 1999. Blacksburg, Virginia, USA: Springer-Verlag.

    Google Scholar 

  9. Carpenter, B., The Logic of Typed Feature Structures. 1992, Cambridge: Cambridge University Press.

    Google Scholar 

  10. Leclère, M. Reasoning with Type Definitions. in Proc. Fifth International Conference on Conceptual Structures. 1997. Seattle, Washington, USA: Springer-Verlag.

    Google Scholar 

  11. Müller, T. Conceptual Graphs as Terms: Prospects for Resolution Theorem Proving. Masters Thesis, Department of Computer Science, Vrije Universiteit Amsterdam. Amsterdam, Netherlands, 1997.

    Google Scholar 

  12. Reynolds, J.C., Transformational Systems and the Algebraic Structure of Atomic Formulas. Machine Intelligence, 1970. 5.

    Google Scholar 

  13. Davey, B.A. and H.A. Priestley, Introduction to Lattices and Order. 1990, Cambridge: Cambridge University Press.

    Google Scholar 

  14. Knight, K., Unification: A Multidisciplinary Survey. ACM Computing Surveys, 1989. 21(1): p. 93–124.

    Article  MATH  MathSciNet  Google Scholar 

  15. Aït-Kaci, H., An Algebraic Semantics Approach to the Effective Resolution of Type Equations. Theoretical Computer Science, 1986. 45(3): p. 293–351.

    Article  MATH  MathSciNet  Google Scholar 

  16. Corbett, D.R. A Framework for Conceptual Graph Unification. in Proc. Eighth International Conference on Conceptual Structures. 2000. Darmstadt, Germany: Shaker Verlag.

    Google Scholar 

  17. Mineau, G. A First Step Toward the Knowledge Web: Interoperability Issues Among Conceptual Graph Based Software Agents, Part I. in Proc. International Conference on Conceptual Structures. 2002. Borovets, Bulgaria: Springer.

    Google Scholar 

  18. Mitchard, H. Cognitive Model of an Operations Officer. Honours Thesis, Computer and Information Science, University of South Australia. Adelaide, South Australia, 1998.

    Google Scholar 

  19. Mitchard, H., J. Winkles, and D.R. Corbett. Development and Evaluation of a Cognitive Model of an Air Defence Operations Officer. in Proc. Fifth Biennial Conference of the Australasian Cognitive Science Society. 2000. Adelaide, South Australia.

    Google Scholar 

  20. Cao, T.H., P.N. Creasy, and V. Wuwongse. Fuzzy Unification and Resolution Proof Procedure for Fuzzy Conceptual Graph Programs. in Proc. Fifth International Conference on Conceptual Structures. 1997. Seattle, Washington, USA: Springer-Verlag.

    Google Scholar 

  21. Older, W.J., Involution Narrowing Algebra. Constraints, 1997. 2: p. 113–130.

    Article  MATH  MathSciNet  Google Scholar 

  22. Woodbury, R., S. Datta, and A.L. Burrow. Erasure in Design Space Exploration. in Proc. Artificial Intelligence in Design. 2000. Worcester, Massachusetts, USA.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Advanced Computing Research Centre School of Computer and Information Science, University of South Australia, 5095, Adelaide, South Australia

    Dan Corbett

Authors
  1. Dan Corbett
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Editor information

Editors and Affiliations

  1. DOA Institute, p/a Leeuwlantstraat 83, 2100, Antwerp, Belgium

    Robert Meersman

  2. RMIT University School of Computer Science and IT, GPO Box 2476V, VIC 3001, Melbourne, Australia

    Zahir Tari

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© 2002 Springer-Verlag Berlin Heidelberg

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Corbett, D. (2002). Reasoning with Ontologies by Using Knowledge Conjunction in Conceptual Graphs. In: Meersman, R., Tari, Z. (eds) On the Move to Meaningful Internet Systems 2002: CoopIS, DOA, and ODBASE. OTM 2002. Lecture Notes in Computer Science, vol 2519. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36124-3_82

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  • DOI: https://doi.org/10.1007/3-540-36124-3_82

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00106-5

  • Online ISBN: 978-3-540-36124-4

  • eBook Packages: Springer Book Archive

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