Abstract
This paper discusses automated reasoning over ontologies. represented as Conceptual Graphs. We have designed and implemented reasoning tools using Conceptual Graphs as the underlying knowledge structure. This work demonstrates 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 dicuss the implementation of our ideas, and demonstrate the reasoning tool that we created in two domains: building architecture and defence. The significance of our work is that the previously static knowledge representation of ontology is now a dynamic, functional reasoning system.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Aït-Kaci, H. and R. Nasr, “LOGIN: A Logic Programming Language with Built-in Inheritance.,” Journal of Logic Programming, 1986. 3.
Aït-Kaci, H., A. Podelski, and G. Smolka, A Feature Constraint System for Logic Programming with Entailment,. 1992, Digital Equipment Corporation: Paris, France.
Burrow, A.L. and R. Woodbury. “p-Resolution in Design Space Exploration,” in Proc. CAAD Futures, August, 1999. Atlanta, Georgia, USA: Academic Publishers.
Cao, TH., 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, August, 1997. Seattle, Washington, USA: Springer-Verlag. Published as Lecture Notes in Artificial Intelligence #1257.
Chang, T.-W. and R.F. Woodbury. “Sufficiency of the SEED Knowledge-Level Representation for Grammatical Design,” in Proc. Australian New Zealand Conference on Intelligent Information Systems, November, 1996. Adelaide, Australia: IEEE Press.
Chein, M. and M.-L. Mugnier, “Conceptual Graphs: Fundamental Notions,” Revue d’Intelligence Artificielle, 1992. 6(4): p. 365–406.
Corbett, D.R. “A Framework for Conceptual Graph Unification,” in Proc. Eighth International Conference on Conceptual Structures, August, 2000. Darmstadt, Germany: Shaker Verlag.
Corbett, D.R., “Conceptual Graphs with Constrained Reasoning,” Revue d’Intelligence Artificielle, 2001 (to appear).
Corbett, D.R. and A.L. Burrow. “Knowledge Reuse in SEED Exploiting Conceptual Graphs,” in Proc. Fourth International Conference on Conceptual Structures, August, 1996. Sydney, NSW, Australia: UNSW Press.
Corbett, DR. and R.F. Woodbury. “Unification over Constraints in Conceptual Graphs,” in Proc. Seventh International Conference on Conceptual Structures, July, 1999. Blacksburg, Virginia, USA: Springer-Verlag.
Davey, B.A. and H.A. Priestley, Introduction to Lattices and Order. 1990, Cambridge: Cambridge University Press.
Heisserman, J.A., “Generative Geometric Design,” IEEE Computer Graphics and Applications, 1995. 14(2): p. 37–5.
Knight, K., “Unification: A Multidisciplinary Survey,” ACM Computing Surveys, 1989. 21(1): p. 93–124.
Mineau, G.W. and C. Miranda, Computer-Aided Design and Artificial Intelligence: Exploration in Architectural Plan Reuse,. 1998.
Mitchard, H., Cognitive Model of an Operations Officer, 1998, Honours Thesis, Computer and Information Science, University of South Australia, Adelaide, South Australia.
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, May, 2000. Adelaide, South Australia.
Mugnier, M.-L. and M. Chein, “Représenter des Connaissances et Raisonner avec des Graphes,” Revue d’Intelligence Artificielle, 1996. 10(6): p. 7–56.
Reynolds, J.C., “Transformational Systems and the Algebraic Structure of Atomic Formulas,” Machine Intelligence, 1970. 5.
Sowa, J. “Conceptual Graphs: Draft Proposed American National Standard,” in Proc. Seventh International Conference on Conceptual Structures, July, 1999. Blacksburg, Virginia, USA: Springer-Verlag. Published as volume #1640 of Lecture Notes in Artificial Intelligence.
Sowa, J.F., Conceptual Structures: Information Processing in Mind and Machine. 1984, Reading, Mass: Addison-Wesley.
Sowa, J.F., Conceptual Graphs Summary, in Conceptual Structures: Current Research and Practice. 1992, Ellis Horwood: Chichester, UK.
Van Hentenryck, P., Constraint Satisfaction in Logic Programming. Logic Programming, ed. E. Shapiro. 1989, Cambridge, Massachusetts, USA: MIT Press.
Van Hentenryck, P., L. Michel, and Y. Deville, Numerica. 1997, Cambridge, Massachusetts, USA: MIT Press.
Willems, M. “Projection and Unification for Conceptual Graphs,” in Proc. Third International Conference on Conceptual Structures, August, 1995. Santa Cruz, California, USA: Springer-Verlag. Published as Lecture Notes in Artificial Intelligence #954.
Woodbury, R., S. Datta, and A.L. Burrow. “Erasure in Design Space Exploration,” in Proc. Artificial Intelligence in Design, June, 2000. Worcester, Massachusetts, USA.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Corbett, D. (2001). A Method for Reasoning with Ontologies Represented as Conceptual Graphs. In: Stumptner, M., Corbett, D., Brooks, M. (eds) AI 2001: Advances in Artificial Intelligence. AI 2001. Lecture Notes in Computer Science(), vol 2256. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45656-2_12
Download citation
DOI: https://doi.org/10.1007/3-540-45656-2_12
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42960-9
Online ISBN: 978-3-540-45656-8
eBook Packages: Springer Book Archive