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Abstract

Having introduced and illustrated the major construction techniques on some simple problems, we now turn our attention to the more substantial task of sorting. We demonstrate how a selection of different algorithms can be derived from a single specification, but our coverage is by no means exhaustive. Our major concern is the detailed application, and a certain amount of customisation1, of the general transfinement tactics.

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References

  1. Parts of this chapter (and Chapter 9) closely follow Darlington, J., “A Synthesis of Several Sorting Algorithms”, Acta. Informatica (11), 1–30 (1978).

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  2. Knuth, D.E., The Art of Computer Programming, Vol 3 “Sorting and Searching”, Addison-Wesley (1973).

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  3. Burstall, R.M., “Proving Properties of Programs by Structural Induction”, Comp. J. (12), 41–48 (1969).

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© 2005 Springer-Verlag London Limited

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(2005). Sorting. In: Constructing Correct Software. Springer, London. https://doi.org/10.1007/1-84628-079-6_8

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  • DOI: https://doi.org/10.1007/1-84628-079-6_8

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-820-6

  • Online ISBN: 978-1-84628-079-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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