Skip to main content

Solving Systems of Linear Inequalities by Bound Propagation

  • Conference paper
Automated Deduction – CADE-23 (CADE 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6803))

Included in the following conference series:

Abstract

In this paper we introduce a new method for solving systems of linear inequalities. The algorithm incorporates many state-of-the-art techniques from DPLL-style reasoning. We prove soundness, completeness and termination of the method.

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. Davis, M., Logemann, G., Loveland, D.W.: A machine program for theorem-proving. Commun. ACM 5(7), 394–397 (1962)

    Article  MATH  MathSciNet  Google Scholar 

  2. Korovin, K., Tsiskaridze, N., Voronkov, A.: Conflict resolution. In: Gent, I.P. (ed.) CP 2009. LNCS, vol. 5732, pp. 509–523. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  3. Korovin, K., Voronkov, A.: Solving systems of linear inequalities by bound propagation, full version (2011), http://www.cs.man.ac.uk/~korovink/my_pub/

  4. Marques-Silva, J.P., Sakallah, K.A.: GRASP: a search algorithm for propositional satisfiability. IEEE Trans. Computers 48(5), 506–521 (1999)

    Article  MathSciNet  Google Scholar 

  5. McMillan, K.L., Kuehlmann, A., Sagiv, M.: Generalizing DPLL to richer logics. In: Bouajjani, A., Maler, O. (eds.) CAV 2009. LNCS, vol. 5643, pp. 462–476. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  6. Nieuwenhuis, R., Oliveras, A., Tinelli, C.: Solving SAT and SAT modulo theories: From an abstract Davis–Putnam–Logemann–Loveland procedure to DPLL. J. ACM 53(6), 937–977 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  7. Schrijver, A.: Theory of Linear and Integer Programming. John Wiley and Sons, West Sussex (1998)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Korovin, K., Voronkov, A. (2011). Solving Systems of Linear Inequalities by Bound Propagation. In: Bjørner, N., Sofronie-Stokkermans, V. (eds) Automated Deduction – CADE-23. CADE 2011. Lecture Notes in Computer Science(), vol 6803. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22438-6_28

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-22438-6_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22437-9

  • Online ISBN: 978-3-642-22438-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics