Skip to main content

Polarity-based Stochastic Local Search Algorithms for Non-clausal Satisfiability

  • Chapter

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 114))

Abstract

This paper discusses the use of polarity to guide a stochastic local search for a satisfying assignment for a free-form formula of a finitely-valued propositional logic.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Béjar, R.: Systematic and Local Search Algorithms for Regular-SAT. PhD thesis, Universitat Autènoma de Barcelona (2000)

    Google Scholar 

  2. Béjar, R. and Manyà, F.: Solving combinatorial problems with regular local search algorithms. Proc. 6th Int. Conf. on Logic for Programming and Automated Reasoning, LPAR-99, Springer LNAI 1705 (1999) 33–43

    Article  Google Scholar 

  3. Du, D., Gu, J. and Pardalos, P. editors: Satisfiability Problem: Theory and Applications. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 35, American Mathematical Society (1997)

    Google Scholar 

  4. Johnson, D., Aragon, C. and McGeoch, L.: Optimization by simulated annealing: an experimental evaluation; part ii, graph coloring and number partioning. Operations Research, 39 (1991) 378–406

    Article  MATH  Google Scholar 

  5. Hähnle, R.: Complexity of Many-Valued Logics. Proc. of the 31st IEEE Int. Symp. on Multiple-Valued Logic (2001) 137–146

    Google Scholar 

  6. Manna, Z. and Waldinger, R.: The Deductive Foundations of Computer Programming. Eddison-Wesley (1993)

    Google Scholar 

  7. McAllester, D., Selman, B. and Kautz, H.: Evidence for invariants in local search. Proc. AAAI-97 (1997) 321–326

    Google Scholar 

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

    Google Scholar 

  9. Mundici, D.: Satisfiability in Many-Valued Sentential Logics is NP-Complete. Theoretical Computer Science, 52 (1987) 145–153

    Article  MathSciNet  MATH  Google Scholar 

  10. Murray, N.: Completely Non-Clausal Theorem Proving. Artificial Intelligence, 18 (1982) 67–85

    Article  MathSciNet  MATH  Google Scholar 

  11. Plaisted, D. and Greenbaum, S.: A structure-preserving clause form translation. J. of Symbolic Computation, 2 (1986) 293–304

    Article  MathSciNet  MATH  Google Scholar 

  12. Schuurmans, D. and Southey, F.: Local search characteristics of incomplete SAT procedures. Proc. AAAI-2000 (2000) 297–302

    Google Scholar 

  13. Sebastiani, R.: Applying GSAT to non-clausal formulas. J. of Artificial Intelligence Research, 1 (1994) 309–314

    MATH  Google Scholar 

  14. Selman, B., Levesque, H. and Mitchell, D.: A new method for solving hard satisfiability problems. Proc. AAAI-92 (1992) 440–446

    Google Scholar 

  15. Selman, B., Kautz, H. and Cohen, B.: Noise strategies for improving local search. Proc. AAAI-94 (1994) 337–343

    Google Scholar 

  16. Stachniak, Z.: Exploiting Polarity in Multiple-Valued Inference Systems. Proc. of the 31st IEEE Int. Symp. on Multiple-Valued Logic (2001) 149–156

    Google Scholar 

  17. Stachniak, Z.: Resolution Proof Systems: An Algebraic Theory. Kluwer (1996)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Stachniak, Z. (2003). Polarity-based Stochastic Local Search Algorithms for Non-clausal Satisfiability. In: Fitting, M., Orłowska, E. (eds) Beyond Two: Theory and Applications of Multiple-Valued Logic. Studies in Fuzziness and Soft Computing, vol 114. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1769-0_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-7908-1769-0_7

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-2522-0

  • Online ISBN: 978-3-7908-1769-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics