Skip to main content

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7317))

Abstract

Preprocessing of CNF formulas is an invaluable technique when attempting to solve large formulas, such as those that model industrial verification problems. Unfortunately, the best combination of preprocessing techniques, which involve variable elimination combined with subsumption, is incompatible with incremental satisfiability. The reason is that soundness is lost if a variable is eliminated and later reintroduced. Look-ahead is a known technique to solve this problem, which simply blocks elimination of variables that are expected to be part of future instances. The problem with this technique is that it relies on knowing the future instances, which is impossible in several prominent domains. We show a technique for this realm, which is empirically far better than the known alternatives: running without preprocessing at all or applying preprocessing separately at each step.

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. Bacchus, F., Winter, J.: Effective Preprocessing with Hyper-Resolution and Equality Reduction. In: Giunchiglia, E., Tacchella, A. (eds.) SAT 2003. LNCS, vol. 2919, pp. 341–355. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  2. Le Berre, D.: Exploiting the real power of unit propagation lookahead. Electronic Notes in Discrete Mathematics 9, 59–80 (2001)

    Article  Google Scholar 

  3. Eén, N., Biere, A.: Effective Preprocessing in SAT Through Variable and Clause Elimination. In: Bacchus, F., Walsh, T. (eds.) SAT 2005. LNCS, vol. 3569, pp. 61–75. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  4. Eén, N., Sörensson, N.: An Extensible SAT-solver. In: Giunchiglia, E., Tacchella, A. (eds.) SAT 2003. LNCS, vol. 2919, pp. 502–518. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  5. Eén, N., Sörensson, N.: Temporal induction by incremental SAT solving. Electr. Notes Theor. Comput. Sci. 89(4), 543–560 (2003)

    Article  Google Scholar 

  6. Franzén, A., Cimatti, A., Nadel, A., Sebastiani, R., Shalev, J.: Applying smt in symbolic execution of microcode. In: FMCAD, pp. 121–128 (2010)

    Google Scholar 

  7. Kupferschmid, S., Lewis, M.D.T., Schubert, T., Becker, B.: Incremental preprocessing methods for use in BMC. Formal Methods in System Design 39(2), 185–204 (2011)

    Article  Google Scholar 

  8. Nadel, A., Ryvchin, V., Strichman, O.: Preprocessing in incremental SAT. Technical Report IE/IS-2012-02, Industrial Engineering, Technion (2012), http://ie.technion.ac.il/~ofers/publications/sat12t.pdf

  9. Shtrichman, O.: Pruning Techniques for the SAT-Based Bounded Model Checking Problem. In: Margaria, T., Melham, T.F. (eds.) CHARME 2001. LNCS, vol. 2144, pp. 58–70. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  10. Whittemore, J., Kim, J., Sakallah, K.: SATIRE: a new incremental satisfiability engine. In: IEEE/ACM Design Automation Conference, DAC (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Nadel, A., Ryvchin, V., Strichman, O. (2012). Preprocessing in Incremental SAT. In: Cimatti, A., Sebastiani, R. (eds) Theory and Applications of Satisfiability Testing – SAT 2012. SAT 2012. Lecture Notes in Computer Science, vol 7317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31612-8_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-31612-8_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31611-1

  • Online ISBN: 978-3-642-31612-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics