Skip to main content

PStable Semantics for Possibilistic Logic Programs

  • Conference paper
MICAI 2007: Advances in Artificial Intelligence (MICAI 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4827))

Included in the following conference series:

Abstract

Uncertain information is present in many real applications e.g., medical domain, weather forecast, etc. The most common approaches for leading with this information are based on probability however some times; it is difficult to find suitable probabilities about some events. In this paper, we present a possibilistic logic programming approach which is based on possibilistic logic and PStable semantics. Possibilistic logic is a logic of uncertainty tailored for reasoning under incomplete evidence and Pstable Semantics is a solid semantics which emerges from the fusion of non-monotonic reasoning and logic programming; moreover it is able to express answer set semantics, and has strong connections with paraconsistent logics.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Baral, C.: Knowledge Representation, Reasoning and Declarative Problem Solving. Cambridge University Press, Cambridge (2003)

    MATH  Google Scholar 

  2. Buchanan, B.G., Shortliffe, E.H.: Rule-Based Expert Systems: The MYCIN Experiments of the Stanford Heuristic Programming Project. Addison-Weslay, London (1985)

    Google Scholar 

  3. Dubois, D., Lang, J., Prade, H.: Possibilistic logic. In: Gabbay, D., Hogger, C.J., Robinson, J.A. (eds.) Handbook of Logic in Artificial Intelligence and Logic Programming. Nonmonotonic Reasoning and Uncertain Reasoning, vol. 3, pp. 439–513. Oxford University Press, Oxford (1994)

    Google Scholar 

  4. Halpern, J.Y.: Reasoning about uncertainty. MIT Press, Cambridge (2005)

    Google Scholar 

  5. Jakobovits, H., Vermeir, D.: Robust semantics for argumentation frameworks. Journal of logic and computation 9(2), 215–261 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  6. McCarthy, J.: Some Expert System Need Common Sense. Annals of the New York Academy of Sciences 426(1), 129–137 (1984)

    Article  MathSciNet  Google Scholar 

  7. McCarthy, J., Hayes, P.J.: Some philosophical problems from the standpoint of artificial intelligence. In: Meltzer, B., Michie, D. (eds.) Machine Intelligence 4, pp. 463–502. Edinburgh University Press (1969) (reprinted in McC90)

    Google Scholar 

  8. Mendelson, E.: Introduction to Mathematical Logic, 4th edn. Chapman and Hall/CRC (1997)

    Google Scholar 

  9. Nicolas, P., Garcia, L., Stéphan, I., Lafèvre, C.: Possibilistic Uncertainty Handling for Answer Set Programming. Annal of Mathematics and Artificial Intelligence 47(1-2), 139–181 (2006)

    Article  MATH  Google Scholar 

  10. Nieves, J.C., Osorio, M., Cortés, U.: Semantics for possibilistic disjunctive programs (poster). In: Chitta Baral, G.B., Schlipf, J. (eds.) LPNMR 2007. Ninth International Conference on Logic Programming and Nonmonotonic Reasoning. LNCS (LNAI), vol. 4483, pp. 315–320. Springer, Heidelberg (2007)

    Google Scholar 

  11. Osorio, M., Navarro, J.A., Arrazola, J.R., Borja, V.: Ground nonmonotonic modal logic s5: New results. Journal of Logic and Computation 15(5), 787–813 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  12. Osorio, M., Navarro, J.A., Arrazola, J.R., Borja, V.: Logics with Common Weak Completions. Journal of Logic and Computation 16(6), 867–890 (2006)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Alexander Gelbukh Ángel Fernando Kuri Morales

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Osorio, M., Nieves, J.C. (2007). PStable Semantics for Possibilistic Logic Programs. In: Gelbukh, A., Kuri Morales, Á.F. (eds) MICAI 2007: Advances in Artificial Intelligence. MICAI 2007. Lecture Notes in Computer Science(), vol 4827. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76631-5_28

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-76631-5_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-76630-8

  • Online ISBN: 978-3-540-76631-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics