Skip to main content

The Satisfiability Problem and Its Extensions

  • Chapter
  • First Online:
Logic and Integer Programming

Part of the book series: International Series in Operations Research & Management Science ((ISOR,volume 130))

  • 3618 Accesses

Given a statement in logic can it ever be true? This is the satisfiability problem.We will confine our attention to the propositional calculus. However, the problem also arises in the predicate calculus where it is necessary to consider if there are instantiations of the variables which make a statement true. The problem is equivalent to the inference and consistency problems mentioned in Chapter 1.

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

Access this chapter

eBook
USD 16.99
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
Hardcover Book
USD 54.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to H. Paul Williams .

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag US

About this chapter

Cite this chapter

Williams, H.P. (2009). The Satisfiability Problem and Its Extensions. In: Logic and Integer Programming. International Series in Operations Research & Management Science, vol 130. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-92280-5_4

Download citation

  • DOI: https://doi.org/10.1007/978-0-387-92280-5_4

  • Published:

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-387-92279-9

  • Online ISBN: 978-0-387-92280-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics