Skip to main content

Fixed-Point Arithmetic Modeled in B Software Using Reals

  • Conference paper
Abstract State Machines, Alloy, B, TLA, VDM, and Z (ABZ 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8477))

  • 1555 Accesses

Abstract

This paper demonstrates how to introduce a fixed point arithmetic in software developed with the classical B method. The properties of this arithmetic are specified with real numbers in the AtelierB formal tool and linked to an implementation written in Ada programming language. This study has been conducted to control the loss of precision and possible overflow due to the use of fixed point arithmetic in the critical software part of a communication based train control system.

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. Abrial, J.-R.: The B-Book. Cambridge University Press (1996)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Guéry, J., Rolland, O., Rehm, J. (2014). Fixed-Point Arithmetic Modeled in B Software Using Reals. In: Ait Ameur, Y., Schewe, KD. (eds) Abstract State Machines, Alloy, B, TLA, VDM, and Z. ABZ 2014. Lecture Notes in Computer Science, vol 8477. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43652-3_28

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-43652-3_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-43651-6

  • Online ISBN: 978-3-662-43652-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics