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Program transformation in constructive type theory

Published: 03 January 1995 Publication History

Abstract

Transformational programming is a method for program development. To formalize the transformational programming techniques, the key point is to formally represent transformation rules and to prove the correctness of these rules. In this paper, we describe a constructive type-theoretical approach for formalizing the concepts of program schema, transformation rules and strategies, and software development processes. Some examples for verification and derivation of semantically correct program transformation rules are presented.

References

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[Barz 77] Barzdin, J.M.: "Inductive Inference of Automata, Functions and Programs", Amer. Math. Soc. Translations, Vol. 109, No. 2, 1977.
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[Blum 75] Blum, L. and Blum, M.: "Toward a Mathematical Theory of Inductive Inference", Information Control, Vol. 28, 1975.
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[BierBP 75] Biermann, A.W., Baum, R.I. and Petry, F.E.: "Speeding up the Synthesis of Programs from Traces", IEEE Transactions on Computers, Vol. C-24, No. 2, 1975.
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[BierK 76] Biermann, A.W. and Krishnaswamy, R.: "Constructing Programs from Example Computations", IEEE Transactions on Software Engineering, Vol. SE-2, 1976.
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[Gold 67] Gold, M.: "Languge Identification in the Limit", Information Control, Vol. 5, 1967.
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[Zhu 89] Zhu, M.-Y.: "AUTOSTAR - A Software Development System", ACM SIGPLAN Notices, Vol. 24, No. 3, March, 1989.
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[ZhuW 91] Zhu, M.-Y. and Wang, C.-W.: "A Higher-Order Lambda Calculus: PowerEpsilon", Technical Report, Beijing Institute of Systems Engineering, Beijing, 1991.
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[ZhuW 92] Zhu, M.-Y. and Wang, C.-W.: "Program Derivation in PowerEpsilon", Proceedings of COMPSAC'92, Chicago, September, 1992.

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    Published In

    cover image ACM SIGPLAN Notices
    ACM SIGPLAN Notices  Volume 30, Issue 1
    Jan. 1995
    57 pages
    ISSN:0362-1340
    EISSN:1558-1160
    DOI:10.1145/199818
    Issue’s Table of Contents

    Publisher

    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 03 January 1995
    Published in SIGPLAN Volume 30, Issue 1

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