Advertisement

Hierarchic autoepistemic theories for nonmonotonic reasoning: Preliminary report

  • Kurt Konolige
Autoepistemic Logics
Part of the Lecture Notes in Computer Science book series (LNCS, volume 346)

Abstract

Nonmonotonic logics are meant to be a formalization of nonmonotonic reasoning. However, for the most part they fail to embody two of the most important aspects of such reasoning: the explicit computational nature of nonmonotonic inference, and the assignment of preferences among competing inferences. We propose a method of nonmonotonic reasoning in which the notion of inference from specific bodies of evidence plays a fundamental role. The formalization is based on autoepistemic logic, but introduces additional structure, a hierarchy of evidential spaces. The method offers a natural formalization of many different applications of nonmonotonic reasoning, including reasoning about action, speech acts, belief revision, and various situations involving competing defaults.

Keywords

Belief Revision Default Rule Default Logic Nonmonotonic Reasoning Default Reasoning 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Appelt, D. E. and K. Konolige. 1988. A nonmonotonic logic for reasoning about speech acts and belief revision. Second Workshop on Non-Monotonic Reasoning.Google Scholar
  2. Etherington, D. W. and R. Reiter. 1983. On inheritance hierarchies with exceptions. In Proceedings of the American Association of Artificial Intelligence.Google Scholar
  3. Geissler, C. and K. Konolige. 1986. A resolution method for quantified modal logics of knowledge and belief. In Halpern, J. Y., editor, Conference on Theoretical Aspects of Reasoning about Knowledge, pages 309–324, Morgan Kaufmann.Google Scholar
  4. Hanks, S. and D. McDermott. 1987. Nonmonotonic logic and temporal projection. Artificial Intelligence, 33(3).Google Scholar
  5. Konolige, K. 1987. On the relation between default logic and autoepistemic theories. Artificial Intelligence, 35(3):343–382.Google Scholar
  6. Konolige, K. and K. Myers. 1987. Representing defaults with epistemic concepts. Forthcoming technical note.Google Scholar
  7. Levesque, H. J. 1982. A Formal Treatment of Incomplete Knowledge Bases. Technical Report 614, Fairchild Artificial Intelligence Laboratory, Palo Alto, California.Google Scholar
  8. Levesque, H. J. 1987. All I know: an abridged report. In Proceedings of the American Association of Artificial Intelligence, Seattle, Washington.Google Scholar
  9. Lifschitz, V. 1984. Some results on circumscription. In AAAI Workshop on Non-Monotonic Reasoning.Google Scholar
  10. Loui, R. P. 1987. Defeat among arguments: a system of defeasible inference. Computational Intelligence, 3(2).Google Scholar
  11. McCarthy, J. 1980. Circumscription—a form of nonmonotonic reasoning. Artificial Intelligence, 13(1–2).Google Scholar
  12. Moore, R. C. 1984. Possible-world Semantics for Autoepistemic Logic. Technical Note 337, SRI Artificial Intelligence Center, Menlo Park, California.Google Scholar
  13. Moore, R. C. 1985. Semantical considerations on nonmonotonic logic. Artificial Intelligence, 25(1).Google Scholar
  14. Poole, D. 1985. On the comparison of theories: preferring the most specific explanation. In Proceedings of the International Joint Conference on Artificial Intelligence, pages 144–147, Los Angeles.Google Scholar
  15. Reiter, R. 1980. A logic for default reasoning. Artificial Intelligence, 13(1–2).Google Scholar
  16. Reiter, R. and G. Criscuolo. 1983. Some representational issues in default reasoning. In Cercone, N. J., editor, Computational Linguistics, pages 15–27, Pergamon Press, Elmsford, New York.Google Scholar
  17. Shoham, Y. 1987. Reasoning about Change: Time and Causation from the Standpoint of Artificial Intelligence. MIT Press, Cambridge, Massachusetss.Google Scholar
  18. Stalnaker, R. C. 1980. A note on nonmonotonic modal logic. Department of Philosophy, Cornell University.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Kurt Konolige
    • 1
  1. 1.Center for the Study of Language and InformationArtificial Intelligence CenterMenlo Park

Personalised recommendations