Abstract
The main goal of this chapter is to demonstrate the usefulness of mathematical abstractions such as sets, relations, functions, and sequences in software development. In particular, the chapter lays the foundation for the specification languages presented in the next four chapters.
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References
V.S. Alagar, Fundamentals of Computing — Theory and Practice, Prentice-Hall, Englewood Cliffs, NJ, 1989.
C.B. Jones, Systematic Software Development using VDM (second edition), Prentice Hall International (UK), 1990.
J. McLean, “The Specification and Modeling of Computer Security,” IEEE Computer, Vol. 23, No. 1, January 1990, pp. 9–16.
K.H. Rosen, Discrete Mathematics and itsApplications (second edition), McGraw-Hill, New York, NY, 1990.
J.M. Spivey, Understanding Z: A Specification Language and its Formal Semantics, Cambridge University Press, Cambridge, England, 1988.
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© 1998 Springer Science+Business Media New York
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Alagar, V.S., Periyasamy, K. (1998). Set Theory and Relations. In: Specification of Software Systems. Graduate Texts in Computer Science. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2920-7_7
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DOI: https://doi.org/10.1007/978-1-4757-2920-7_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-2922-1
Online ISBN: 978-1-4757-2920-7
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