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Mathematics of Programming

Mathematical Laws Help Programmers Control the Complexity of Tasks

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Part of the book series: Studies in Cognitive Systems ((COGS,volume 14))

Abstract

I hold the opinion that the construction of computer programs is a mathematical activity like the solution of differential equations, that programs can be derived from their specifications through mathematical insight, calculation, and proof, using algebraic laws as simple and elegant as those of elementary arthmetic. Such methods of program construction promise benefits in specifications, systems software, safety-critical programs, silicon design, and standards.

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References

  1. Dijkstra, Edsger W.: 1976, A Discipline of Programming. Englewood Cliffs, NJ: Prentice-Hall.

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  2. Gries, David: 1981, The Science of Programming. New York: Springer.

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  3. The Guardian, July 10, 1985, London, England.

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© 1993 Springer Science+Business Media Dordrecht

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Hoare, C.A.R. (1993). Mathematics of Programming. In: Colburn, T.R., Fetzer, J.H., Rankin, T.L. (eds) Program Verification. Studies in Cognitive Systems, vol 14. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1793-7_7

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  • DOI: https://doi.org/10.1007/978-94-011-1793-7_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4789-0

  • Online ISBN: 978-94-011-1793-7

  • eBook Packages: Springer Book Archive

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