Skip to main content

Extending the CG Model by Simulations

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1867))

Abstract

Conceptual graphs (CGs) share with FOL a fundamental expressiveness limitation: only higher-order logics allow assertions of properties on predicates. This paper intends to push back this limit by reifying underlying relations of CGs (is-a , a-kind-of , referent) into first-class objects (i.e. nodes) of an equivalent, labelled graphs (LG) model.

Benefits of this reification, applied on a subset of CGs, namely simple graphs and rules of form “if G then H”, are discussed in terms of expressiveness, succintness and robustness. We show that using the LG model as an interpreter allows us to improve and extend the results in [2].

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Baader, F., Molitor, R., Tobies, S.: Tractable and decidable fragments of conceptual graphs. In: Proc. of ICCS 1999, pp. 480–493. Springer, Heidelberg (1999)

    Google Scholar 

  2. Baget, J.-F.: A Simulation Of Co-Identity with Rules in Simple and Nested Graphs. In: Proc. of ICCS 1999, pp. 442–455. Springer, Heidelberg (1999)

    Google Scholar 

  3. Baget, J.-F.: Extending the CG Model by Simulations. Research report, LIRMM (2000)

    Google Scholar 

  4. Chein, M., Mugnier, M.-L.: Conceptual Graphs are also Graphs. Research Report (1995)

    Google Scholar 

  5. Gogic, G., Kautz, H., Papadimitriou, C., Selman, B.: The Comparative Linguistics of Knowledge Representation. In: Proc. of IJCAI 1995, pp. 862–869 (1995)

    Google Scholar 

  6. Hendrix, G.G.: Encoding Knowledge in Partitioned Networks. In: Associative Networks, pp. 51–92. Academic Press, London (1979)

    Google Scholar 

  7. Kayser, D.: La représentation des connaissances. Hermes, Paris (1997)

    MATH  Google Scholar 

  8. Salvat, E., Mugnier, M.-L.: Sound and Complete Forward and Backward Chainings of Graph Rules. In: Proc. of ICCS 1996. Springer, Heidelberg (1996)

    Google Scholar 

  9. Shapiro, S.C.: A net structure for semantic information storage, deduction and retrieval. In: Advance Papers of IJCAI 1971, pp. 512–523 (1971)

    Google Scholar 

  10. Simonet, G.: Two FOL semantics for simple and nested conceptual graphs. In: Mugnier, M.-L., Chein, M. (eds.) ICCS 1998. LNCS (LNAI), vol. 1453, p. 240. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  11. Sowa, J.F.: Conceptual structures: Information processing in mind and machine. Addison-Wesley, Reading (1984)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Baget, JF. (2000). Extending the CG Model by Simulations. In: Ganter, B., Mineau, G.W. (eds) Conceptual Structures: Logical, Linguistic, and Computational Issues. ICCS 2000. Lecture Notes in Computer Science(), vol 1867. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10722280_19

Download citation

  • DOI: https://doi.org/10.1007/10722280_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67859-5

  • Online ISBN: 978-3-540-44663-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics