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Towards a Mathematical Science of Computation

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Program Verification

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

Abstract

In this paper I shall discuss the prospects for a mathematical science of computation. In a mathematical science, it is possible to deduce from the basic assumptions, the important properties of the entities treated by the science. Thus, from Newton’s law of gravitation and his laws of motion, one can deduce that the planetary orbits obey Kepler’s laws.

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References

  1. McCarthy, J.: 1963, ‘A Basis for a Mathematical Theory of Computation’, in: Braffort, P. and Hirshberg, D. (eds.), Computer Programming and Formal Systems, North-Holland, Amsterdam.

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  2. McCarthy, J.: 1962, ‘Checking Mathematical Proofs by Computer’, Proc. Symp. on Recursive Function Theory (1961). Amer. Math. Soc.

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Author information

Authors and Affiliations

  1. Computation Center, Stanford University, California, USA

    J. McCarthy

Authors
  1. J. McCarthy
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Minnesota, Duluth, USA

    Timothy R. Colburn

  2. Department of Philosophy, University of Minnesota, Duluth, USA

    James H. Fetzer

  3. IBM Health Industry Marketing, Atlanta, Georgia, USA

    Terry L. Rankin

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© 1993 Springer Science+Business Media Dordrecht

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McCarthy, J. (1993). Towards a Mathematical Science of Computation. 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_2

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  • DOI: https://doi.org/10.1007/978-94-011-1793-7_2

  • 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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