Skip to main content

Extending the Stable Model Semantics with More Expressive Rules

  • Conference paper
  • First Online:
Logic Programming and Nonmonotonic Reasoning (LPNMR 1999)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1730))

Abstract

The rules associated with propositional logic programs and the stable model semantics are not expressive enough to let one write concise programs. This problem is alleviated by introducing some new types of propositional rules. Together with a decision procedure that has been used as a base for an efficient implementation, the new rules supplant the standard ones in practical applications of the stable model semantics.

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. W.F. Dowling and J.H. Gallier. Linear-time algorithms for testing the satisfiability of propositional Horn formulae. Journal of Logic Programming, 3:267–284, 1984.

    Article  MathSciNet  Google Scholar 

  2. M. Gelfond and V. Lifschitz. The stable model semantics for logic programming. In Proceedings of the 5th International Conference on Logic Programming, pages 1070–1080, Seattle, USA, August 1988. The MIT Press.

    Google Scholar 

  3. K. Heljanko. Using logic programs with stable model semantics to solve deadlock and reachability problems for 1-safe petri nets. In Tools and Algorithms for the Construction and Analysis of Systems, volume 1579 of Lecture Notes in Computer Science, pages 240–254, Amsterdam, The Netherlands, March 1999. Springer-Verlag.

    Chapter  Google Scholar 

  4. V.W. Marek and M. Truszczyński. Stable models and an alternative logic programming paradigm. The Computing Research Repository, http://xxx.lanl.gov/archive/cs/, September 1998. cs.LO/9809032.

  5. I. Niemelä. Logic programs with stable model semantics as a constraint programming paradigm. In Proceedings of the Workshop on Computational Aspects of Nonmonotonic Reasoning, pages 72–79. Research Report A52, Helsinki University of Technology, May 1998.

    Google Scholar 

  6. I. Niemelä and P. Simons. Efficient implementation of the well-founded and stable model semantics. In Proceedings of the 1996 Joint International Conference and Symposium on Logic Programming, pages 289–303, Bonn, Germany, September 1996. The MIT Press.

    Google Scholar 

  7. C. Sakama and K. Inoue. An alternative approach to the semantics of disjunctive logic programs and deductive databases. Journal of Automated Reasoning, 13:145–172, 1994.

    Article  MATH  MathSciNet  Google Scholar 

  8. P. Simons. Towards constraint satisfaction through logic programs and the stable model semantics. Research Report A47, Helsinki University of Technology, August 1997.

    Google Scholar 

  9. P. Simons. Smodels 2.10. http://www.tcs.hut.fi/pub/smodels/, 1999. A system for computing the stable models of logic programs.

  10. P. Östergård, T. Baicheva, and E. Kolev. Optimal binary one-error-correcting codes of length 10 have 72 codewords. IEEE Transactions on Information Theory,45(4):1229–1231, May 1999.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Simons, P. (1999). Extending the Stable Model Semantics with More Expressive Rules. In: Gelfond, M., Leone, N., Pfeifer, G. (eds) Logic Programming and Nonmonotonic Reasoning. LPNMR 1999. Lecture Notes in Computer Science(), vol 1730. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46767-X_22

Download citation

  • DOI: https://doi.org/10.1007/3-540-46767-X_22

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66749-0

  • Online ISBN: 978-3-540-46767-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics