Skip to main content

Correctness Proofs of Distributed Termination Algorithms

  • Conference paper
Logics and Models of Concurrent Systems

Part of the book series: NATO ASI Series ((NATO ASI F,volume 13))

Abstract

The problem of correctness of the solutions to the distributed termination problem of Francez [F] is addressed. Correctness criteria are formalized in the customary framework for program correctness. A very simple proof method is proposed and applied to show correctness of a solution to the problem.

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. Apt, K.R., Ten years of Hoare’s logic, a survey, part II, Theoretical Computer Science 28, pp. 83–109, 1984.

    Article  MATH  MathSciNet  Google Scholar 

  2. Apt, K.R., Proving correctness of CSP programs, a tutorial, Tech. Report 84–24, LITP, Université Paris 7, 1984 (also to appear in the Proc. International Summer School “Control Flow and Data Flow: Concepts of Distributed Programming”, Marktobedorf, 1984 ).

    Google Scholar 

  3. Apt, K.R. and Clermont Ph., Two normal form theorems for CSP programs, in preparation.

    Google Scholar 

  4. Apt, K.R., Francez N. and De Roever, W.P., A proof system for Communicating Sequential Processes, ACM TOPLAS 2 No 3, pp. 359–385, 1980.

    Article  MATH  Google Scholar 

  5. Apt, K.R. and Richier, J.L., Real time clocks versus virtual clocks, Tech. Report 84–34, LITP, Université Paris 7, 1984, (also to appear in the Proc. International Summer School “Control Flow and Data Flow: Concepts of Distributed Programming”, Marktobedorf, 1984 ).

    Google Scholar 

  6. Dijkstra, E.W., Feijen, W.H. and van Gasteren, A.J.M., Derivation of a termination detection algorithm for distributed computations, Inform. Processing Letters 16, 5, pp. 217–219, 1983.

    Article  MathSciNet  Google Scholar 

  7. Elrad, T.E. and Francez, N., Decomposition of distributed programs into communication closed layers, Science of Computer Programming 2, No 3, pp. 155–174, 1982.

    Article  MATH  Google Scholar 

  8. Francez, N., Distributed termination, ACM TOPLAS 2, No 1, pp. 42–55, 1980.

    Article  MATH  Google Scholar 

  9. Francez, N., Roder, M. and Sintzoff, M., Distributed termination with interval assertions, in: Proc. Int Colloq. Formalization of Programming Concepts, Peniscola, Spain, Lecture Notes in Comp. Science, vol. 107, 1981.

    Google Scholar 

  10. Grumberg, O., Francez N., Makowsky J., and De Roever W.P., A proof rule for fair termination of guarded commands, in: J.W. de Bakker and J.C. Van Vhet eds., Algorithmic languages, IFIP, North Holland, Amsterdam, pp. 399–416, 1981.

    Google Scholar 

  11. Hoare, C.A.R., Communicating sequential processes, CACM 21, 8, pp. 666–677, 1978.

    MATH  Google Scholar 

  12. Lamport, L., Time, clocks and the ordering of events in a distributed system, CALM 21, 7, pp. 558–565, 1978.

    MATH  Google Scholar 

  13. Manna, Z. and Pnueli, A., How to cook a temporal proof system for your pet language, in: Proc. of the Symposium on Principles of Programming Languages, Austin, Texas, 1983.

    Google Scholar 

  14. Topor, R.W., Termination detection for distributed computations, Inform. Processing Letters 18, 1, pp. 33–36, 1984.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Apt, K.R. (1985). Correctness Proofs of Distributed Termination Algorithms. In: Apt, K.R. (eds) Logics and Models of Concurrent Systems. NATO ASI Series, vol 13. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82453-1_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-82453-1_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82455-5

  • Online ISBN: 978-3-642-82453-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics