Skip to main content

Relating diagrams to logic

  • Invited Talks
  • Conference paper
  • First Online:
Book cover Conceptual Graphs for Knowledge Representation (ICCS 1993)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 699))

Included in the following conference series:

Abstract

Although logic is general enough to describe anything that can be implemented on a digital computer, the unreadability of predicate calculus makes it unpopular as a design language. Instead, many graphic notations have been developed, each for a narrow range of purposes. Conceptual graphs are a graphic system of logic that is as general as predicate calculus, but they are as readable as the special-purpose diagrams. In fact, many popular diagrams can be viewed as special cases of conceptual graphs: type hierarchies, entity-relationship diagrams, parse trees, dataflow diagrams, flow charts, state-transition diagrams, and Petri nets. This paper shows how such diagrams can be translated to conceptual graphs and thence into other systems of logic, such as the Knowledge Interchange Format (KIF).

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Chen, Peter Pin-Shan (1976) “The entity-relationship model-toward a unified view of data,” ACM Transactions on Database Systems 1:1, pp. 9–36.

    Google Scholar 

  • Chomsky, Noam (1957) Syntactic Structures, Mouton, The Hague.

    Google Scholar 

  • Genesereth, M. R., & R. E. Fikes (1992) “Knowledge Interchange Format, Version 3.0 Reference Manual,” Report Logic-92-1, Computer Science Department, Stanford University.

    Google Scholar 

  • Gentzen, Gerhard (1934) “Untersuchungen über das logische Schliessen”, Mathematische Zeitschrift, XXXIX, 176–210.

    Google Scholar 

  • Kifer, Michael, & Georg Lausen (1989) “F-logic: A higher-order language for reasoning about objects, inheritance, and scheme,” Proc. 1989 ACM SIGMOD Conference, pp. 134–146.

    Google Scholar 

  • Levinson, Robert A., & Gerard Ellis (1992) “Multilevel hierarchical retrieval,” Knowledge Based Systems, vol. 5, no. 3, pp. 233–244.

    Google Scholar 

  • Nagle, T. E., J. A. Nagle, L. L. Gerholz, & P. W. Eklund, eds. (1992) Conceptual Structures: Current Research and Practice, Ellis Horwood, New York.

    Google Scholar 

  • Peirce, Charles Sanders (1898) Reasoning and the Logic of Things: The Cambridge Conferences Lectures of 1898, ed. by K. L. Ketner, Harvard University Press, Cambridge, MA, 1992.

    Google Scholar 

  • Perez, Sandra, & Anthony Sarris, eds. (1993) IRDS Conceptual Schema, X3H4 Technical Report, American National Standards Institute, New York.

    Google Scholar 

  • Roberts, Don D. (1973) The Existential Graphs of Charles S. Peirce, Mouton, The Hague.

    Google Scholar 

  • Sowa, John F. (1984) Conceptual Structures: Information Processing in Mind and Machine, Addison-Wesley, Reading, MA.

    Google Scholar 

  • Sowa, John F. (1993) “Logical foundations for representing object-oriented systems,” Journal of Experimental and Theoretical Artificial Intelligence (JETAI) to appear in vol. 5.

    Google Scholar 

  • Tesnière, Lucien (1959) Eléments de Syntaxe Structurale, 2nd edition, Librairie C. Klincksieck, Paris, 1965.

    Google Scholar 

  • Whitehead, Alfred North, & Bertrand Russell (1910) Principia Mathematica, Cambridge University Press, Cambridge.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Guy W. Mineau Bernard Moulin John F. Sowa

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Sowa, J.F. (1993). Relating diagrams to logic. In: Mineau, G.W., Moulin, B., Sowa, J.F. (eds) Conceptual Graphs for Knowledge Representation. ICCS 1993. Lecture Notes in Computer Science, vol 699. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56979-0_1

Download citation

  • DOI: https://doi.org/10.1007/3-540-56979-0_1

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56979-4

  • Online ISBN: 978-3-540-47848-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics