Skip to main content

Specifying closed world assumptions for logic databases

  • Conference paper
  • First Online:
MFDBS 89 (MFDBS 1989)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 364))

Included in the following conference series:

Abstract

“Closed world assumptions” (CWAs) are an important class of implicit completions for logic databases. We present a new general definition of CWA; it is parameterized, so that known and new versions of CWAs can be derived as special cases. Our CWA, in turn, instantiates the more basic notion of “database completion” and satisfies natural properties. It can even be characterized by the property of determining maximal completions without generating too much new information. We study syntactic as well as semantic definitions and prove them to be equivalent. By discussing several instances of CWAs we demonstrate the applicability of our framework to database specification.

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

  1. H. Bidoit and R. Hull. Positivism vs. minimalism in deductive databases. In Proc. of the Fifth ACM SIGACT-SIGMOD Symposium on Principles of Database Systems (PODS), 123–132, 1986.

    Google Scholar 

  2. S. Brass. Vervollständigungen für Logikdatenbanken (completions of logic databases). Diploma Thesis, Informatics, Techn. Univ. Braunschweig, 1988. In German.

    Google Scholar 

  3. H.B. Enderton. A Mathematical Introduction to Logic. Academic Press, New York, 1972.

    Google Scholar 

  4. H. Gallaire, J. Minker, and J.-M. Nicolas. Logic and databases: A deductive approach. Computing Surveys (16), 153–185, 1984.

    Google Scholar 

  5. M. Gelfond and H. Przymusinska. Negation as failure: Careful closure procedure. Artificial Intelligence (30), 273–287, 1986.

    Google Scholar 

  6. M. Gelfond, H. Przymusinska, and T. Przymusinski. The extended closed world assumption and its relationship to parallel circumscription. In Proc. of the Fifth ACM SIGACT-SIGMOD Symposium on Principles of Database Systems (PODS), 153–185, 1986.

    Google Scholar 

  7. E. Mendelson. Introduction to Mathematical Logic. Van Nostrand-Reinhold, New York, second edition, 1978.

    Google Scholar 

  8. J. Minker. On indefinite databases and the closed world assumption. In D. W. Loveland, editor, 6th Conference on Automated Deduction, 292–308, Springer-Verlag, Berlin, 1982. Lecture Notes in Computer Science No.138.

    Google Scholar 

  9. J. Minker, editor. Foundations of Deductive Databases and Logic Programming, Morgan Kaufmann Publishers, Los-Altos (Calif.), 1988.

    Google Scholar 

  10. J. Minker and D. Perlis. Applications of protected circumscription. In R. E. Shostak, editor, 7th International Conference on Automated Deduction, 414–425, Springer-Verlag, Berlin, 1984. Lecture Notes in Computer Science No.170.

    Google Scholar 

  11. J. Minker and D. Perlis. Computing protected circumscription. The Journal of Logic Programming (2), 235–249, 1985.

    Google Scholar 

  12. R. Reiter. On closed world data bases. In H. Gallaire and J. Minker, editors, Logic and Data Bases, 55–76, Plenum, New York, 1978.

    Google Scholar 

  13. R. Reiter. A logic for default reasoning. Artificial Intelligence (13), 81–132, 1980.

    Article  Google Scholar 

  14. J. C. Sheperdson. Negation in logic programming. In J. Minker, editor, Foundations of Deductive Databases and Logic Programming, 19–88, Morgan Kaufmann Publishers, Los-Altos (Calif.), 1988.

    Google Scholar 

  15. A. Yahya and L. J. Henschen. Deduction in non-horn databases. Journal of Automated Reasoning (1), 141–160, 1985.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

János Demetrovics Bernhard Thalheim

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Brass, S., Lipeck, U.W. (1989). Specifying closed world assumptions for logic databases. In: Demetrovics, J., Thalheim, B. (eds) MFDBS 89. MFDBS 1989. Lecture Notes in Computer Science, vol 364. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51251-9_6

Download citation

  • DOI: https://doi.org/10.1007/3-540-51251-9_6

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51251-6

  • Online ISBN: 978-3-540-46182-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics