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The Parallel Evaluation of Functional Programs

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Mathematical Logic and Its Applications

Abstract

We address the correctness problem of parallel implementation of functional programs. Those functional programs are evaluated by a set of concurrent agents communicating with each other and cooperating together while the computations progress. New communications among agents are introduced to improve the performance, because properties or facts about functions to be computed are exploited. In particular we show that those communications may avoid redundant computations of intermediate results. We provide the logical theories for proving correctness of implementation of functional programs together with facts about those programs.

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References

  1. J. Backus, “Can Programming be Liberated from the von-Neumann Style? A Functional Style and Its Algebra of Programs”, J.A.C.M. Vol. 21, No.8 (1978) pp. 613–641.

    MathSciNet  MATH  Google Scholar 

  2. R.M. Burstall, J. Darlington, “A transformation system for developing recursive programs”, J.A.C.M. Vol. 24, No. 1 (1977) pp. 44–67.

    MathSciNet  MATH  Google Scholar 

  3. R.M. Burstall, D.B. MacQueen, D.T. Sannella, “HOPE: An Experimental Applicative Language”, Proc. LISP Conf. Standord University (1980).

    Google Scholar 

  4. J. Darlington, M. Reeve, “Alice: A Multiprocessor Reduction Machine for Parallel Evaluation of Applicative Languages”, Proc. ACM/MIT Conference on Functional Programming Languages and Computer Architecture (1981).

    Google Scholar 

  5. L. Kott, “About transformation system: A theoretical study”, 3ème Colloque International sur la Programmation, Dunod, Paris (1978).

    Google Scholar 

  6. A. Pettorossi, A. Skowron, “Theories for Verifying Communicating Agents Behaviour in Recursive Equations Programs”, Proc. 20-th Annual Conf. on Information Sciences and Systems, Princeton (1986).

    Google Scholar 

  7. A. Pettorossi, A. Skowron, “Using Facts for Improving the Parallel Execution of Functional Programs”, Proc. 15-th Conf. on Parallel Processing, St. Charles, Illinois (1986).

    Google Scholar 

  8. A. Pettorossi, A. Skowron, “Factual Knowledge for Developing Concurrent Programs”, Proc. AAAI-86, Philadelphia (1986).

    Google Scholar 

  9. S. Radev, “Infinitary Modal Logic and Programming Languages”, Ph. D. Thesis, Warsaw University 1980.

    Google Scholar 

  10. W.L. Scherlis, “Expression Procedures and Program Derivation”, Ph.D. Thesis, Stanford Univ. Computer Science Report STAN-CS-80-818 (1980).

    Google Scholar 

  11. D.A. Turner, “Functional Programs as Executable Specifications” in “Mathematical Logic and Programming Languages” C.A.R. Hoare, J.C. Shepherdson eds., Prentice Hall (1984).

    Google Scholar 

  12. N. Wirth, “Program Development by Stepwise Refinement”, C.A.C.M. Vol. 14 (1971) pp. 221–227.

    MATH  Google Scholar 

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© 1987 Plenum Press, New York

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Pettorossi, A., Skowron, A. (1987). The Parallel Evaluation of Functional Programs. In: Skordev, D.G. (eds) Mathematical Logic and Its Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0897-3_10

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  • DOI: https://doi.org/10.1007/978-1-4613-0897-3_10

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8234-1

  • Online ISBN: 978-1-4613-0897-3

  • eBook Packages: Springer Book Archive

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