Skip to main content

Checking several forms of consistency in nonmonotonic knowledge-bases

  • Invited Papers
  • Conference paper
  • First Online:
Book cover Qualitative and Quantitative Practical Reasoning (FAPR 1997, ECSQARU 1997)

Abstract

In this paper, a new method is introduced to check several forms of logical consistency in nonmonotonic knowledge-bases (KBs). The knowledge representation language under consideration is full propositional logic, using “Abnormal” propositions to be minimized. Basically, the method is based on the use of local search techniques for SAT. Since these techniques are by nature logically incomplete, it is often believed that they can only show that a formula is consistent. Surprisingly enough, we find that they can allow inconsistency to be proved as well. To that end, some additional heuristic information about the work performed by local search algorithms is shown of prime practical importance. Adapting this heuristic and using some specific minimization policies, we propose some possible strategies to exhibit a “normal-circumstances” model or simply a model of the KB, or to show their non-existence.

This work has been supported by the Ganyméde II project of the “Contrat de Plan Etat/Nord-Pas-de-Calais”.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Davis, M., Putnam, H.: A Computing Procedure for Quantification Theory. Journ. of the ACM 7 (1960) 201–215

    Google Scholar 

  2. Proc. of the Second DIMACS Challenge on Satisfiability Testing, Rutgers (1993)

    Google Scholar 

  3. Dubois, O., André, P., Boufkhad, Y., Carlier, J.: SAT vs. UNSAT, in [2].

    Google Scholar 

  4. Jeroslow, R.E., Wang, J.: Solving Propositional Satisfiability Problems. Ann. Maths and AI 1 (1990) 167–187

    Google Scholar 

  5. azure, B., Saïs, L., Grégoire, E.: TWSAT: a New Local Search Algorithm for SAT. Performance and Analysis. CP'95 Workshop on Studying and Solving Really Hard Problems, Cassis, France (1995) 127–130 (full version in Proc. AAAI-97)

    Google Scholar 

  6. azure, B., Saïs, L., Grégoire, E.: Detecting logical inconsistencies. Proc. AI and Maths Symposium, Fort Lauderdale (FL) (1196) 116–121

    Google Scholar 

  7. McCarthy, J.: Applications of circumscription for formalizing common-sense knowledge. Artificial Intelligence 28 (1986) 89–116

    Google Scholar 

  8. Mitchell, D., Selman, B., Levesque, H.: Hard and Easy Distributions of SAT Problems. Proc. AAAI-92 (1992) 459–465

    Google Scholar 

  9. Reiter, R.: A theory of diagnosis from first principles. Artificial Intelligence 32 (1987) 57–95

    Google Scholar 

  10. Reiter, R.: A logic for default reasoning. Artificial Intelligence 13 (1980) 81–131

    Google Scholar 

  11. Selman, B., Levesque, H., Mitchell, D.: A New Method for Solving Hard Satisfiability Problems. Proc. AAAI-92 (1992) 440–446

    Google Scholar 

  12. Selman, B., Kautz, H.A., Cohen, B.: Local Search Strategies for Satisfiability Testing. Proc. DIMACS Workshop on Maximum Clique, Graph Coloring, and Satisfiability (1993)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Dov M. Gabbay Rudolf Kruse Andreas Nonnengart Hans Jürgen Ohlbach

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Mazure, B., Saïs, L., Grégoire, É. (1997). Checking several forms of consistency in nonmonotonic knowledge-bases. In: Gabbay, D.M., Kruse, R., Nonnengart, A., Ohlbach, H.J. (eds) Qualitative and Quantitative Practical Reasoning. FAPR ECSQARU 1997 1997. Lecture Notes in Computer Science, vol 1244. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035617

Download citation

  • DOI: https://doi.org/10.1007/BFb0035617

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63095-1

  • Online ISBN: 978-3-540-69129-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics