Advertisement

Variations of constrained default logic

  • Torsten Schaub
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 747)

Abstract

Recently a variant of Reiter's default logic, called constrained default logic, has been developed in order to overcome certain short-comings of the original approach. In this paper, we introduce a very simple but powerful extension of constrained default logic, called preconstrained default logic. We demonstrate that adding certain preconstraints to default theories results in very expressive systems: Apart from representing heuristic control information, pre-constraints provide simple mechanisms for dealing with default lemmas and for incorporating priorities. Finally, we describe how pre-constrained default logic is related to other well-known approaches.

Keywords

Theorist Extension Default Theory Default Logic Default Reasoning Powerful Extension 
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. 1.
    G. Brewka. Nonmonotonic Reasoning: Logical Foundations of Commonsense. Cambridge University, 1991.Google Scholar
  2. 2.
    J. Delgrande, K. Jackson, T. Schaub. Alternative approaches to default logic. Submitted, June 1992.Google Scholar
  3. 3.
    J. Dix. On cumulativity in default logic and its relation to Poole's approach. In B. Neumann, ed., Proc. of ECAI'92, 289–293. Wiley, 1992.Google Scholar
  4. 4.
    D. Makinson. General theory of cumulative inference. In M. Reinfrank et al., eds., Proc. 2nd NMR Workshop, 1–18. Springer, 1989.Google Scholar
  5. 5.
    D. Poole. A logical framework for default reasoning. Artificial Intelligence, 36:27–47, 1988.Google Scholar
  6. 6.
    D. Poole. What the lottery paradox tells us about default reasoning. In R. Brachman et al., eds., Proc. of KR'89, 333–340. Morgan Kaufmann, 1989.Google Scholar
  7. 7.
    R. Reiter. A logic for default reasoning. Artificial Intelligence, 13(1–2):81–132, 1980.Google Scholar
  8. 8.
    T. Schaub. On commitment and cumulativity in default logics. In R. Kruse, ed., Proc. of ECSQAU'91, 304–309. Springer, 1991.Google Scholar
  9. 9.
    T. Schaub. On constrained default theories. In B. Neumann, ed., Proc. of ECAI'92, 304–308. Wiley, 1992.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Torsten Schaub
    • 1
  1. 1.IRISARennes Cedex

Personalised recommendations