Skip to main content

Proof Search for Unprovable Formulas

  • Chapter
GWAI-83

Part of the book series: Informatik-Fachberichte ((INFORMATIK,volume 76))

  • 62 Accesses

Abstract

A method is developped of how to extend theorem provers in order to decide satisfiability for every formula of prefix type AE…E. The key idea is to find a certain criterion for the existence of loops in the search tree. As a byproduct a result on proof complexity is derived.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. B. Dreben and W. D. Goldfarb, The decision problem. Solvable classes of quantificational formulas, Addison-Wesley (1979).

    MATH  Google Scholar 

  2. W. H. Joyner Jr., Resolution strategies as decision procedures, J.ACM 23(1976), 398–417.

    Article  MathSciNet  MATH  Google Scholar 

  3. H. R. Lewis, Complexity results for classes of quantificational formulas, J.Comp.Syst.Sci. 21(1980), 317–353.

    Article  MATH  Google Scholar 

  4. W. Schonfeld, Gleichungen in der Algebra der binaren Relationen, Habilitationsschrift, Universität Stuttgart (1979).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Schönfeld, W. (1983). Proof Search for Unprovable Formulas. In: Neumann, B. (eds) GWAI-83. Informatik-Fachberichte, vol 76. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-69391-5_19

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-69391-5_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12871-7

  • Online ISBN: 978-3-642-69391-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics