Skip to main content

Defeasible Logic

  • Conference paper
  • First Online:
Web Knowledge Management and Decision Support (INAP 2001)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2543))

Included in the following conference series:

Abstract

We often reach conclusions partially on the basis that we do not have evidence that the conclusion is false. A newspaper story warning that the local water supply has been contaminated would prevent a person from drinking water from the tap in her home. This suggests that the absence of such evidence contributes to her usual belief that her water is safe. On the other hand, if a reasonable person received a letter telling her that she had won a million dollars, she would consciously consider whether there was any evidence that the letter was a hoax or somehow misleading before making plans to spend the money. All to often we arrive at conclusions which we later retract when contrary evidence becomes available. The contrary evidence defeats our earlier reasoning. Much of our reasoning is defeasible in this way. Since around 1980, considerable research in AI has focused on how to model reasoning of this sort. In this paper, I describe one theoretical approach to this problem, discuss implementation of this approach as an extension of Prolog, and describe some application of this work to normative reasoning, learning, planning, and other types of automated reasoning.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Moore, R.: Semantical considerations on non-monotonic logic. Artificial Intelligence 25 (1985) 75–94

    Article  MATH  MathSciNet  Google Scholar 

  2. Loui, R.: Theory and Computation of Uncertain Inference and Decision. PhD thesis, The University of Rochester (1987) Technical Report 228, Department of Computer Science.

    Google Scholar 

  3. Loui, R.: Defeat among arguments: A system of defeasible inference. Computational Intelligence 3 (1987) 100–106

    Article  Google Scholar 

  4. Geffner, H.: Default Reasoning: Causal and Conditional Theories. PhD thesis, UCLA (1989) Research Report 137, Cognitive Systems Laboratory, Department of Computer Science.

    Google Scholar 

  5. Geffner, H., Pearl, J.: A framework for reasoning with defaults. In Kyburg, H., Loui, R., Carlson, G., eds.: Knowledge Representation and Defeasible Reasoning. Studies in Cognitive Systems. Kluwer Academic Publishers, Boston (1989) 69–88

    Google Scholar 

  6. Pollock, J.: A theory of defeasible reasoning. International Journal of Intelligent Systems 6 (1991) 33–54

    Article  Google Scholar 

  7. Pollock, J.: Self-defeating argument. Minds and Machines 1 (1991) 367–392

    Article  Google Scholar 

  8. Nute, D.: Defeasible logic. In Gabbay, D., Hogger, C., eds.: Handbook of Logic for Artificial Intelligence and Logic Programming. Volume III. Oxford University Press, Oxford (1994)

    Google Scholar 

  9. Schurtz, G.: Defeasible reasoning based on constructive and cumulative rules. In Casati, R., Smith, B., White, G., eds.: Philosophy and Cognitive Sciences. Hölder-Pichler-Tempsky (1994) 297–310

    Google Scholar 

  10. Makinson, D.: On a fundamental problem of deontic logic. In Prakken, H., McNamara, P., eds.: ΔEON’98: 4th International Workshop on Deontic Logic in Computer Science, Università degli Studi di Bologna (1998)

    Google Scholar 

  11. Dung, P.M., Kowalski, R.A., Toni, F.: Synthesis of proof procedures for default reasoning. In: Proceedings of the international workshop on logic programming synthesis and transformation, Springer Lecture Notes on Computer Science 1207 (1996) 313–324

    Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  13. Konolige, K.: On the relation between default theories and autoepistemic logic. Artificial Intelligence 35 (1988) 343–382

    Article  MATH  MathSciNet  Google Scholar 

  14. Morreau, M.: Reasons to think and act. In Nute, D., ed.: Defeasible Deontic Logic. Synthese Library. Kluwer Academic Publishers, Dordrecht, Netherlands (1997) 139–158

    Google Scholar 

  15. Donnelly, S.: Semantics, soundness, and incompleteness for a defeasible logic. Master’s thesis, Artificial Intelligence Center, The University of Georgia (1999)

    Google Scholar 

  16. Nute, D.: Apparent obligation. In Nute, D., ed.: Defeasible Deontic Logic. Synthese Library. Kluwer Academic Publishers, Dordrecht, Netherlands (1997) 287–315

    Google Scholar 

  17. Gabbay, D.: Labelled Deductive Systems. Volume 1. Oxford University Press, Oxford (1996)

    MATH  Google Scholar 

  18. Makinson, D., Schechta, K.: Floating conclusions and zombie paths: two deep difficulties in the ‘directly skeptical’ approach to inheritance nets. Artificial Intelligence48 (1991) 199–209

    Article  MATH  MathSciNet  Google Scholar 

  19. Nute, D.: Norms, priorities, and defeasibility. In McNamara, P., Prakken, H., eds.: Norms, Logics and Information Systems. IOS Press, Amsterdam (1999) 201–218.

    Google Scholar 

  20. Nute, D., Lewis, M.: A users manual for d-Prolog. Research Report 01-0016, Artificial Intelligence Programs, The University of Georgia (1986)

    Google Scholar 

  21. Nute, D.: Basic defeasible logic. In nas del Cerro, L.F., Penttonen, M., eds.: Intensional Logics for Programming. Oxford University Press (1992) 125–154

    Google Scholar 

  22. Nute, D.: A decidable quantified defeasible logic. In Prawitz, D., Skyrms, B., Westerstahl, D., eds.: Logic, Methodology and Philosophy of Science IX. Elsevier Science B. V, New York (1994) 263–284

    Google Scholar 

  23. Covington, M., Nute, D., Vellino, A.: Prolog Programming in Depth, Second Edition. Prentice-Hall, Englewood Cliffs, NJ (1997)

    MATH  Google Scholar 

  24. Conklin, J., Begemena, M.L.: gIBIS: A tool for all reasons. Journal of the American Society for Information Systems 40 (1989) 140–152

    Google Scholar 

  25. Hua, H., Kimbrough, S.: On hypermedia-based argumentation decision support systems. unpublished manuscript (1995)

    Google Scholar 

  26. Nute, D., Henderson, C., Hunter, Z.: Defeasible logic graphs ii: Implementation. Decision Support Systems (to appear)

    Google Scholar 

  27. Nute, D., Erk, K.: Defeasible logic graphs i: Theory. Decision Support Systems (to appear)

    Google Scholar 

  28. Nute, D., Mann, R., Brewer, B.: Conrtolling expert system recommendations with defeasible logic. Decision Support Systems 6 (1990) 153–164

    Article  Google Scholar 

  29. Georgo., D.M., Murdick, R.G.: Manager’s guide to forecasting. Harvard Business Review (1986) 110–120

    Google Scholar 

  30. Puppa, A.: A comparison: Knowledge representation in Prolog and in defeasible Prolog. Master’s thesis, Artificial Intelligence Center, The University of Georgia (1997)

    Google Scholar 

  31. Nute, D.: V-World. Software, Artificial Intelligence Center, The University of Georgia (2001) Available online at http://www.arches.uga.edu/~dnute/vworld.

  32. Hunter, Z.: dd-Prolog: A deontic extension of d-Prolog. Master’s thesis, The University of Georgia (1997)

    Google Scholar 

  33. Ryu, Y.: A Formal Representation of Normative Systems: A Defeasible Deontic Reasoning Approach. PhD thesis, University of Texas (1992)

    Google Scholar 

  34. Dhanesha, K.: Normative expert system using deontic logic and defeasible reasoning. Master’s thesis, The University of Georgia (1994)

    Google Scholar 

  35. Ryu, Y., Lee, R.: Defeasible deontic reasoning: A logic programming model. In Meyer, J.J.C., Wieringa, R.J., eds.: Deontic Logic in Computer Science: Normative System Speciffication. John Wiley & Sons Ltd. (1993)

    Google Scholar 

  36. Ryu, Y., Lee, R.: Defeasible deontic reasoning and its applications to normative systems. Decision Support Systems 4 (1995) 59–73

    Article  Google Scholar 

  37. Ryu, Y., Lee, R.: Deontic logic viewed as defeasible reasoning. In Nute, D., ed.: Defeasible Deontic Logic: Essays in Nonmonotonic Normative Reasoning. Kluwer Academic Publishers, Dordrecht, Holland (1997)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Nute, D. (2003). Defeasible Logic. In: Bartenstein, O., Geske, U., Hannebauer, M., Yoshie, O. (eds) Web Knowledge Management and Decision Support. INAP 2001. Lecture Notes in Computer Science(), vol 2543. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36524-9_13

Download citation

  • DOI: https://doi.org/10.1007/3-540-36524-9_13

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00680-0

  • Online ISBN: 978-3-540-36524-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics