Skip to main content

Monotonicity in Calculational Proofs

  • Chapter
  • First Online:
Correct System Design

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1710))

  • 364 Accesses

Abstract

We discuss the use of weakening and strengthening steps in calculational proofs. We present a metatheorem concerning monotonicity of positions in a formula that should have a more prominent place in the teaching of such proofs and give supporting examples.

Acknowledgements

Thanks to an anonymous referee, who helped improve this presentation.

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. Edsger W. Dijkstra and Carel S. Scholten. Predicate Calculus and Program Semantics. Springer Verlag, New York, 1990.

    MATH  Google Scholar 

  2. Wim H.J. Feijen.∃∀⇒;∀∃.WHJ189, September 1994.

    Google Scholar 

  3. David Gries and Fred B. Schneider.A Logical Approach to Discrete Math. Springer Verlag, New York 1993.

    MATH  Google Scholar 

  4. Carroll Morgan. Email communications in September 1995.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Gries, D. (1999). Monotonicity in Calculational Proofs. In: Olderog, ER., Steffen, B. (eds) Correct System Design. Lecture Notes in Computer Science, vol 1710. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48092-7_4

Download citation

  • DOI: https://doi.org/10.1007/3-540-48092-7_4

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66624-0

  • Online ISBN: 978-3-540-48092-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics