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Part of the book series: Series in Computer Science ((SCS))

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Abstract

This chapter has two objectives. First, the basic mathematical concepts and notation used throughout this book are introduced. Secondly, the principle of induction, the indispensable tool in program verification, is presented in two guises and discussed in some detail.

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Bibliographical Remarks

  • Brainerd, W. S. and Landweber, L. H.: Theory of Computation, John Wiley, 1974.

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  • Cutland, N.: Computability: An Introduction to Recursive Function Theory, Cambridge University Press, Cambridge, 1980.

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  • Loeckx, J.: AlgorithmentheorieSpringer-Verlag, 1976.

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  • Enderton, H. B.: A Mathematical Introduction to Logic, Academic Press, 1972.

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  • Aubin, R.: Mechanizing structural induction (Part I), Theor. Comp. Sc., 9, pp. 329–345, 1979.

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  • Wand, M.: Induction, Recursion and Programming, North-Holland, 1980.

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  • Cohn, P. M.: Universal Algebra, Harper and Row, 1965.

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  • Burstall, R. M.: Proving properties of programs by structural induction, Comp. J., 12, pp. 41–48, 1969.

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  • Manna Z.: Mathematical Theory of ComputationMcGraw-Hill, 1974.

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© 1987 Springer Fachmedien Wiesbaden

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Loeckx, J., Sieber, K. (1987). Mathematical Preliminaries. In: The Foundations of Program Verification. Series in Computer Science. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-96753-4_1

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  • DOI: https://doi.org/10.1007/978-3-322-96753-4_1

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-322-96754-1

  • Online ISBN: 978-3-322-96753-4

  • eBook Packages: Springer Book Archive

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