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Polytypic Downwards Accumulations (1998)  (Make Corrections)  (12 citations)
Jeremy Gibbons
Proceedings 4th Int.\ Conf.\ on Mathematics of Program Construction, MPC'98, Marstrand, Sweden, 15--17 June 1998



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Abstract: A downwards accumulation is a higher-order operation that distributes information downwards through a data structure, from the root towards the leaves. The concept was originally introduced in an ad hoc way for just a couple of kinds of tree. We generalize the concept to an arbitrary polynomial datatype; our generalization proceeds via the notion of a path in such a datatype. (Update)

Cited by:   More
Streaming Representation-Changers - Gibbons (2004)   (Correct)
Metamorphisms: Streaming Representation-Changers - Gibbons (2005)   (Correct)
Type-Indexed Data Types - Hinze, Jeuring, Löh (2001)   (Correct)

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8.2%:   Generic Downwards Accumulations - Gibbons (2000)   (Correct)

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0.5:   The Under-Appreciated Unfold - Gibbons, Jones (1998)   (Correct)
0.2:   Systematic Derivation of Tree Contraction Algorithms - Matsuzaki, Hu, Kakehi..   (Correct)
0.2:   Parallel Implementation of Tree Skeletons - Skillicorn (1995)   (Correct)

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1.2:   Computing Downwards Accumulations on Trees Quickly - Gibbons (1995)   (Correct)
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10:   Science of Computer Programming (context) - Malcolm, program - 1990
9:   Formal Aspects of Computing (context) - Meertens - 1992
7:   Functional programming with bananas (context) - Meijer, Fokkinga et al. - 1991

BibTeX entry:   (Update)

Jeremy Gibbons. Polytypic downwards accumulations. In Johan Jeuring, editor, LNCS 1422: Proceedings of Mathematics of Program Construction, Marstrand, Sweden, June 1998. Springer-Verlag. http://citeseer.ist.psu.edu/gibbons98polytypic.html   More

@incollection{ gibbons98polytypic,
    author = "Jeremy Gibbons",
    title = "Polytypic Downward Accumulations",
    booktitle = "Proceedings 4th Int.\ Conf.\ on Mathematics of Program Construction, {MPC}'98, Marstrand, Sweden, 15--17 June 1998",
    volume = "1422",
    publisher = "Springer-Verlag",
    address = "Berlin",
    editor = "J. Jeuring",
    pages = "207--233",
    year = "1998",
    url = "citeseer.ist.psu.edu/gibbons98polytypic.html" }
Citations (may not include all citations):
324   Deforestation: Transforming programs to eliminate trees - Wadler - 1990
172   An introduction to the theory of lists (context) - Bird - 1987
104   Science of Computer Programming (context) - Malcolm, program - 1990
81   The promotion and accumulation strategies in transformationa.. (context) - Bird - 1984
81   The promotion and accumulation strategies in transformationa.. (context) - Bird - 1985
61   Polytypic programming - Jeuring, Jansson - 1996
47   Continuation-based program transformation strategies (context) - Wand - 1980
34   Generic functional programming with types and relations (context) - Bird, de Moor et al. - 1996
12   Available as Technical Monograph PRG (context) - Gibbons, Tree et al. - 1991
11   A Generic Theory of Datatypes (context) - Hoogendijk - 1997
10   Improving recursive functions by inverting the order of eval.. (context) - Boiten - 1992
7   A class of commuting relators - Backhouse, Doornbos et al. - 1992
5   Views of Formal Program Development (context) - Boiten - 1992
4   Structured parallel computation in structured documents - Skillicorn - 1997
3   Earlier version appears as Technical Report No (context) - Gibbons, drawings et al. - 1996
1   Also available as Technical Report CS-R (context) - Meertens, Aspects et al. - 1992
1   Against the grain: Linear-time breadth-first tree algorithms (context) - Gibbons, Jones - 1998



The graph only includes citing articles where the year of publication is known.


Documents on the same site (http://web.comlab.ox.ac.uk/oucl/work/jeremy.gibbons/publications/index.html):   More
Computing Downwards Accumulations on Trees Quickly - Gibbons (1996)   (Correct)
Bridging the Algorithm Gap: A Linear-time Functional Program .. - de Moor, Gibbons (1999)   (Correct)
Dotted and Dashed Lines in METAFONT - Gibbons   (Correct)

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