AN INVERTED TAXONOMY of SORTING ALGORITHMS.

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Title: AN INVERTED TAXONOMY of SORTING ALGORITHMS.
Authors: Horowitz, Ellis, Merritt, Susan M.1
Source: Communications of the ACM. Jan1985, Vol. 28 Issue 1, p96-99. 4p. 1 Graph.
Subjects: Algorithms, Computer programming, Online algorithms, Sorting (Electronic computers), Electronic data processing
Abstract: An alternative taxonomy (to that of Knuth and others) of sorting algorithms is proposed. It emerges naturally out of a top-down approach to the derivation of sorting algorithms. Work done in automatic program synthesis has produced interesting results about sorting algorithms that suggest this approach. In particular, all sorts are divided into two categories: hardsplit/easyjoin and easysplit/hardjoin. Quicksort and merge sort, respectively, are the canonical examples in these categories. Insertion sort and selection sort are seen to be instances of merge sort and quicksort, respectively, and sinking sort and bubble sort are in-place versions of insertion sort and selection sort. Such an organization introduces new insights into the connections and symmetries among sorting algorithms, and is based on a higher level, more abstract, and conceptually simple basis. It is proposed as an alternative way of understanding, describing, and teaching sorting algorithms. [ABSTRACT FROM AUTHOR]
Copyright of Communications of the ACM is the property of Association for Computing Machinery and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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An: 5236501
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  Label: Title
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  Data: AN INVERTED TAXONOMY of SORTING ALGORITHMS.
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  Data: <searchLink fieldCode="AR" term="%22Horowitz%2C+Ellis%22">Horowitz, Ellis</searchLink><br /><searchLink fieldCode="AR" term="%22Merritt%2C+Susan+M%2E%22">Merritt, Susan M.</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Communications+of+the+ACM%22">Communications of the ACM</searchLink>. Jan1985, Vol. 28 Issue 1, p96-99. 4p. 1 Graph.
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  Data: <searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+programming%22">Computer programming</searchLink><br /><searchLink fieldCode="DE" term="%22Online+algorithms%22">Online algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Sorting+%28Electronic+computers%29%22">Sorting (Electronic computers)</searchLink><br /><searchLink fieldCode="DE" term="%22Electronic+data+processing%22">Electronic data processing</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: An alternative taxonomy (to that of Knuth and others) of sorting algorithms is proposed. It emerges naturally out of a top-down approach to the derivation of sorting algorithms. Work done in automatic program synthesis has produced interesting results about sorting algorithms that suggest this approach. In particular, all sorts are divided into two categories: hardsplit/easyjoin and easysplit/hardjoin. Quicksort and merge sort, respectively, are the canonical examples in these categories. Insertion sort and selection sort are seen to be instances of merge sort and quicksort, respectively, and sinking sort and bubble sort are in-place versions of insertion sort and selection sort. Such an organization introduces new insights into the connections and symmetries among sorting algorithms, and is based on a higher level, more abstract, and conceptually simple basis. It is proposed as an alternative way of understanding, describing, and teaching sorting algorithms. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Communications of the ACM is the property of Association for Computing Machinery and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Code: eng
        Text: English
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        PageCount: 4
        StartPage: 96
    Subjects:
      – SubjectFull: Algorithms
        Type: general
      – SubjectFull: Computer programming
        Type: general
      – SubjectFull: Online algorithms
        Type: general
      – SubjectFull: Sorting (Electronic computers)
        Type: general
      – SubjectFull: Electronic data processing
        Type: general
    Titles:
      – TitleFull: AN INVERTED TAXONOMY of SORTING ALGORITHMS.
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            NameFull: Horowitz, Ellis
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            NameFull: Merritt, Susan M.
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              Text: Jan1985
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              Y: 1985
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            – TitleFull: Communications of the ACM
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