Skip to main content

Logical Omniscience and the Cost of Deliberation

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2250))

Abstract

Logical omniscience is a well known problem which makes traditional modal logics of knowledge, belief and intentions somewhat unrealistic from the point of view of modelling the behaviour of a resource bounded agent. We propose two logics which take into account ‘deliberation time’ but use a more or less standard possible worlds semantics with classical possible worlds.

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. Elgot-Drapkin, J. J., Perlis, D.: Reasoning situated in time I: Basic concepts. Journal of Experimental and Theoretical Artificial Intelligence, 2:75–98, 1990.

    Article  Google Scholar 

  2. Fagin, R., Halpern, J. Y.: Belief, awareness, and limited reasoning. In Proceedings of the Ninth International Joint Conference on Artificial Intelligence (IJCAI-85), pages 480–490, 1985.

    Google Scholar 

  3. Fagin, R., Halpern, J. Y., Vardi, M. V.: A non-standard approach to the logical omniscience problem. Artificial Intelligence, 79(2):203–240, 1996.

    Article  MathSciNet  Google Scholar 

  4. Hintikka, J.: Knowledge and belief. Cornell University Press, Ithaca, NY, 1962.

    Google Scholar 

  5. Hintikka, J.: Impossible possible worlds vindicated. Journal of Philosophical Logic, 4:475–484, 1975.

    Article  MathSciNet  MATH  Google Scholar 

  6. Levesque, H. J.: A logic of implicit and explicit belief. In Proceedings of the Fourth National Conference on Artificial Intelligence, AAAI-84, pages 198–202. AAAI, 1984.

    Google Scholar 

  7. Rantala, V.: Impossible worlds semantics and logical omniscience. Acta Philosophica Fennica, 35:106–115, 1982.

    MATH  MathSciNet  Google Scholar 

  8. Rao, A. S., George., M.P.: Modeling rational agents within a BDI-architecture. In Proceedings of the Second International Conference on Principles of Knowledge Representation and Reasoning (KR’91), pages 473–484, 1991.

    Google Scholar 

  9. Russell, S., Norvig, P.: Artificial Intelligence: a modern approach. Prentice Hall, 1995.

    Google Scholar 

  10. Scheutz, M., Logan, B.: Affective vs. deliberative agent control. In Proceedings of the AISB’01 Symposium on Emotion, Cognition and Affective Computing, pages 1–10. AISB, The Society for the Study of Artificial Intelligence and the Simulation of Behaviour, March 2001. Logical Omniscience and the Cost of Deliberation 109

    Google Scholar 

  11. van Benthem, J.: Modal logic and classical logic. Bibliopolis, 1983.

    Google Scholar 

  12. van der Hoek, W., van Linder, B., Meyer, J-J. Ch.: An integrated modal approach to rational agents. InWooldridge, M. and Rao, A. editors, Foundations of Rational Agency, pages 133–168. Kluwer Academic, Dordrecht, 1999.

    Google Scholar 

  13. Weyhrauch, R. W., Cadoli, M., Talcott, C. L.: Using abstract resources to control reasoning. Journal of Logic, Language and Information, 7(1):77–101, 1998.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Alechina, N., Logan, B. (2001). Logical Omniscience and the Cost of Deliberation. In: Nieuwenhuis, R., Voronkov, A. (eds) Logic for Programming, Artificial Intelligence, and Reasoning. LPAR 2001. Lecture Notes in Computer Science(), vol 2250. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45653-8_7

Download citation

  • DOI: https://doi.org/10.1007/3-540-45653-8_7

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42957-9

  • Online ISBN: 978-3-540-45653-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics