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Program composition and modular verification

  • Specification And Verification (Session 3)
  • Conference paper
  • First Online:
Automata, Languages and Programming (ICALP 1991)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 510))

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Abstract

Program composition and modularity have proven themselves as an important approach for simplifying the design and verification of large programs.

The contributions of this paper include:

  1. 1.

    A proposal of a modular and complete proof system for fair termination of a parallel-composed program.

  2. 2.

    A proposal of a proof system for union and superposition.

Modular termination proof systems that have been suggested before are defined for models with an unfair scheduler. The proof approach presented in them fails to be complete in a model with a fair scheduler. The main idea suggested here which allows for the development of a modular and complete proof system for fair termination is a new program property, called gapped-termination.

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8 References

  1. K.R. Apt, F.S. de Boer, E.-R. Olderog: “Proving termination of parallel programs,” in W. Feijen, N. van Gasteren, D. Gries, J. Misra (eds.): “Beauty is our business, a birth-day salute to Edsger W. Dijkstra,” Springer-Verlag, 1990. Also: TR CS-R9016, CWI Amsterdam May 1990.

    Google Scholar 

  2. A.V. Aho, J.E. Hopcropf, J.D. Ullman: “The design and analysis of computer algorithms,” Addison-Wesley, 1974.

    Google Scholar 

  3. K.R. Apt: “Formal justification of a proof system for communication sequential processes,” Journal of the ACM, vol. 30, No. 1, January 1983, pp. 197–216.

    Google Scholar 

  4. L. Bouge, N. Francez: “A Compositional Approach to Superimposition,” 15th ACM Symp. on Principles of Programming Languages, San Diego, CA, January 1988.

    Google Scholar 

  5. M. Chandy, J. Misra: “Parallel programs design,” Addison-Wesly, 1988.

    Google Scholar 

  6. E.W. Dijkstra, W.H.J. Feijen, A.J.M. van Gasteren: “Derivation of a termination detection algorithm for distributed computations,” IPL 16, pp. 217–219, 1983.

    Google Scholar 

  7. N. Francez, I.R. Forman: “Superimposition for interacting processes,” CONCUR'90, Amsterdam, August 1990. LNCS 458 J.C.M. Baeten, J.W. Klop (Eds.), Springer-Verlag, 1990.

    Google Scholar 

  8. L. Fix, N. Francez, O. Grumberg: “Semantics-driven decompositions for the verification of distributed programs,” Proc. of the IFIP working group 2.2/2.3 working conference on Programming concepts and Methods, Sea of Galilee, Israel, April 1990, North-Holland, pp. 101–123.

    Google Scholar 

  9. N. Francez: “Fairness,” Springer-Verlag, 1986.

    Google Scholar 

  10. E. Gafni: “Perspectives on Distributed Network Protocols: A Case for Building Blocks,” MILCON 86, Monterey, Ca., October 1986.

    Google Scholar 

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

    Google Scholar 

  12. S. Katz: “A Superimposition Control Construct for Distributed Systems”, submitted to Transaction on Programming Languages and Systems. Preliminary version MCC technical Report STP-268-87.

    Google Scholar 

  13. J. Misra, M. Chandy: “Proofs of networks of processes,” IEEE SE 7(4), 1981.

    Google Scholar 

  14. J. Misra: “Preserving progress under program composition,” Notes on UNITY: 17–20.

    Google Scholar 

  15. S. Owicki, D. Gries: “An axiomatic proof technique for parallel programs,” Acta Informatica 6, 1976.

    Google Scholar 

  16. S. Ramesh: “On the completeness of modular proof systems,” IPL 36, pp. 195–201, 1990.

    Google Scholar 

  17. C. Stirling: “A generalization of Owicki-Gries's Hoare logic for a concurrent while language,” Theoretical computer science no. 58 pp. 347–359, 1988.

    Google Scholar 

  18. J. Zwiers, W.P. de Roever, P. van Emde Boas: “Compositionality and concurrent networks: soundness and completeness of a proof system,” Proc. 12th ICALP, Nafplion, Greece, July 1985, Springer LNCS 194, pp. 509–519.

    Google Scholar 

  19. J. Zwiers: “Compositionality, concurrency and partial correctness,” Springer LNCS 321, 1989.

    Google Scholar 

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Authors and Affiliations

Authors

Editor information

Javier Leach Albert Burkhard Monien Mario Rodríguez Artalejo

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© 1991 Springer-Verlag Berlin Heidelberg

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Fix, L., Francez, N., Grumberg, O. (1991). Program composition and modular verification. In: Albert, J.L., Monien, B., Artalejo, M.R. (eds) Automata, Languages and Programming. ICALP 1991. Lecture Notes in Computer Science, vol 510. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54233-7_127

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  • DOI: https://doi.org/10.1007/3-540-54233-7_127

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54233-9

  • Online ISBN: 978-3-540-47516-3

  • eBook Packages: Springer Book Archive

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