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The Boom Hierarchy

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Part of the book series:Workshops in Computing ((WORKSHOPS COMP.))

Abstract

The Boom Hierarchy is the family of data structurestree, list, bag, set. By combining their properties in other ways, more data structures can be made, like mobiles. The paper defines the data structures of this extended Boom Hierarchy and shows how the functionsreduce, map, andfilter are applied to them.

Supported by a postgraduate research studentship from the Science and Engineering Research Council

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References

  1. Roland Backhouse. An exploration of the Bird-Meertens Formalism.International Summerschool on Constructive Algorithmics, Ameland 1989, September 1989.

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  2. Richard S. Bird. An introduction to the theory of lists. In M. Broy, editor,Logic of Programming and Calculi of Discrete Design, volume F36 ofNATO ASI Series. Springer Verlag, 1986.

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  3. Paul F. Hoogendijk.(Relational) Programming Laws in Boom Hierarchy of Types, volume 669 ofLecture Notes in Computing Science. Springer, June/July 1992.

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  4. Johan Jeuring. Theories for algorithm calculation.Lecture Notes of the STOP Summerschool on Constructive Algorithmics, 1, September 1992.

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  5. Jean Lipman.Calder’s Universe. Harrison House, New York, 1976.

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  6. Lambert Meertens. Algorithmics — towards programming as a mathematical activity.Mathematics and Computer Science, 1, 1986. CWI Monographs (J. W. de Bakker, M. Hazewinkel, J. K. Lenstra, eds.) North Holland, Puhl. Co.

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Author information

Authors and Affiliations

  1. Computing Science Department, University of Glasgow, Glasgow, Scotland

    Alexander Bunkenburg

Authors
  1. Alexander Bunkenburg

Editor information

Editors and Affiliations

  1. Department of Computing Science, The University, Glasgow, G12 8QQ, Scotland

    John T. O’Donnell PhD  & Kevin Hammond PhD  & 

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© 1994 British Computer Society

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Bunkenburg, A. (1994). The Boom Hierarchy. In: O’Donnell, J.T., Hammond, K. (eds) Functional Programming, Glasgow 1993. Workshops in Computing. Springer, London. https://doi.org/10.1007/978-1-4471-3236-3_1

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