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The Refinement Calculus

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Program Design Calculi

Part of the book series: NATO ASI Series ((NATO ASI F,volume 118))

Abstract

The refinement calculus, based on weakest preconditions, elaborates program developments as a series of steps linked by a mathematical refinement relation. Specifications and executable code are regarded equally as programs, allowing a gradual transformation from one to the other.

Procedures, parameters, recursion, typing and miracles are accommodated.

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References

  1. R.-J.R. Back. A calculus of refinements for program derivations. Acta Informatica, 25: 593–624, 1988.

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  2. E.W. Dijkstra. A Discipline of Programming. Prentice-Hall, Englewood Cliffs, 1976.

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  3. C.C. Morgan. Programming from Specifications. Prentice-Hall, 1990.

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  4. C.O Morgan and T.N. Vickers, editors. On the Refinement Calculus. FACIT Series in Computer Science. Springer, 1993.

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  5. J.M. Morris. A theoretical basis for stepwise refinement and the programming calculus. Science of Computer Programming, 9 (3): 287–306, December 1987.

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© 1993 Springer-Verlag Berlin Heidelberg

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Morgan, C. (1993). The Refinement Calculus. In: Broy, M. (eds) Program Design Calculi. NATO ASI Series, vol 118. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02880-3_1

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  • DOI: https://doi.org/10.1007/978-3-662-02880-3_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08164-4

  • Online ISBN: 978-3-662-02880-3

  • eBook Packages: Springer Book Archive

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