Using Coq to Prove Properties of the Cache Level of a Functional Video-on-Demand Server | SpringerLink
Skip to main content

Using Coq to Prove Properties of the Cache Level of a Functional Video-on-Demand Server

  • Conference paper
Intelligent Computer Mathematics (CICM 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5144))

Included in the following conference series:

  • 736 Accesses

Abstract

In this paper we describe our experiences applying formal software verification in a real-world distributed Video-on-Demand server. As the application of formal methods to large systems is extremely difficult, relevant properties of a particular subsystem have been identified and then verified separately. Conclusions on the whole system can be drawn later. The development consists of two parts: first, the definition of the algorithm in the coq proof assistant; second, codification of the theorems with the help of some new tactics derived from the abstraction of verification patterns common to different proofs.

Supported by MEC TIN2005-08986 and Xunta de Galicia PGIDIT06PXIC105164PN.

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

Access this chapter

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
JPY 3498
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
JPY 5719
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
JPY 7149
Price includes VAT (Japan)
  • 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.

Similar content being viewed by others

References

  1. The Risks Digest, http://catless.ncl.ac.uk/Risks

  2. Ghezzi, C., Jazayeri, M., Mandrioli, D.: Fundamentals of Software Engineering. Prentice Hall, Englewood Cliffs (1991)

    MATH  Google Scholar 

  3. Gulías, V.M., Barreiro, M., Freire, J.L.: VODKA: Developing a video-on-demand server using distributed functional programming. Journal of Functional Programming 15, 403–430 (2005)

    Article  MATH  Google Scholar 

  4. Hudak, P.: Conception, evolution, and application of functional programming languages. ACM Computing Surveys 21, 359–411 (1989)

    Article  Google Scholar 

  5. Jorge, J.S.: Estudio de la verificación de propiedades de programas funcionales: de las pruebas manuales al uso de asistentes de pruebas. PhD thesis, University of A Corun̈a, Spain (2004)

    Google Scholar 

  6. Jorge, J.S., Gulías, V.M., Freire, J.L.: Certifying properties of an efficient functional program for computing Gröbner bases. Journal of Symbolic Computation (2008)

    Google Scholar 

  7. Bertot, Y., Casteran, P.: Interactive Theorem Proving and Program Development, Coq’Art: The Calculus of Inductive Constructions. Springer, Heidelberg (2004)

    MATH  Google Scholar 

  8. Wadler, P.: Functional programming: An angry half dozen. ACM Sigplan Notices 33, 25–30 (1998)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Serge Autexier John Campbell Julio Rubio Volker Sorge Masakazu Suzuki Freek Wiedijk

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Jorge, J.S., Gulias, V.M., Castro, L.M. (2008). Using Coq to Prove Properties of the Cache Level of a Functional Video-on-Demand Server. In: Autexier, S., Campbell, J., Rubio, J., Sorge, V., Suzuki, M., Wiedijk, F. (eds) Intelligent Computer Mathematics. CICM 2008. Lecture Notes in Computer Science(), vol 5144. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85110-3_25

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-85110-3_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-85109-7

  • Online ISBN: 978-3-540-85110-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics