Skip to main content

Knowledge Revision and Multiple Extensions

  • Chapter
Machine Learning, Meta-Reasoning and Logics

Part of the book series: The Kluwer International Series in Engineering and Computer Science ((SECS,volume 82))

  • 159 Accesses

Abstract

We present a tense logic, ZK, for representing changes within knowledge based systems. ZK has tense operators for the future and for the past, and a modal operator for describing consistency. A knowledge based system consists of a set K of general laws (described by first order formulae) and of a set of states, each described by a first order formula (called descriptive formula). Changes are represented by pairs of formulae (P,R) (precondition, result). A change can occur within a state whenever the preconditions are true. The descriptive formula of the resulting new state is the conjunction of R with the maximal subformula of the descriptive formula of the old state which is consistent with K and R. Generally, a change will yield more than one new state (multiple extensions).

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bossu G. and Siegel P., Saturation, Non-Monotonic Reasoning and the Closed-World Assumption. Artificial Intelligence 25,1,1985, pp. 13–63.

    Article  MathSciNet  MATH  Google Scholar 

  • Brown F. M., A Modal Logic for the Representation of Knowledge. In: The Frame Problem in Artificial Intelligence. Proceedings of the 1987 Workshop, F. M. Brown (ed.), Morgan Kaufmann Publishers, Inc. 1987.

    Google Scholar 

  • Hanks S. and McDermott D., Nonmonotonic Logic and Temporal Projection. In: Artificial Intelligence 33 (1987), pp. 379–412.

    Google Scholar 

  • Henkin L., The Completeness of the First-Order Functional Calculus. Journal of Symbolic Logic 14, pp. 159–166,1949.

    Article  MathSciNet  MATH  Google Scholar 

  • Rripke S.A., Semantical Analysis of Modal Logic I, Normal Propositional Calculi. In: Zeitschrift f Mathematische Logik u. Grundlagen d. Mathematik 9, pp. 67–96, 1963a.

    Google Scholar 

  • Lafon E. and Schwind C. B., A Theorem Prover for Action Performance. Proceedings of the European Conference on Artificial Intelligence (ECAI-88), München, August 1988.

    Google Scholar 

  • McCarthy J. and Hayes P., Some Philosophical Problems from the Standpoint of Artificial Intelligence. In: B. Meltzer and D. Michie (eds.): Machine Intelligence 4, Edinburgh University Press, Edinburgh, 1969.

    Google Scholar 

  • McDermott D., Non Monotonie Logic II: Non Monotonie Modal Theories. In: JACM, vol. 20, n_o 1,1982.

    Google Scholar 

  • Rescher N., Urquhart A., Temporal Logic. Berlin, Heidelberg, New York, Wien: Springer, 1971.

    MATH  Google Scholar 

  • Schwind C. B., Representing Actions by State Logic. In: Proceedings of the AISB/GI Conference on Artificial Intelligence, pp. 304–308, Hamburg, 1978a.

    Google Scholar 

  • Schwind C. B., Un Démonstrateur de Théorèmes pour des Logiques Modales et Temporelles en PROLOG. In: 5ème Congrès Reconnaissance des Formes et Intelligence Artificielle, Grenoble 27–29 Novembre 1985. (English version: A PROLOG Theorem Prover for Temporal and Modal Logic. Research Report LISH/386/Janv. 1984, Marseille).

    Google Scholar 

  • Schwind C. B., A Tense Logic Based Theory of Actions. Report GRTC/208,1987.

    Google Scholar 

  • Smullyan R. M., First Order Logic. Springer Verlag 1968.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Kluwer Academic Publishers

About this chapter

Cite this chapter

Schwind, C.B. (1990). Knowledge Revision and Multiple Extensions. In: Brazdil, P.B., Konolige, K. (eds) Machine Learning, Meta-Reasoning and Logics. The Kluwer International Series in Engineering and Computer Science, vol 82. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1641-1_11

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-1641-1_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8906-7

  • Online ISBN: 978-1-4613-1641-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics