(Enter summary)
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)
Similar documents (at the sentence level):
8.2%: Generic Downwards Accumulations - Gibbons (2000)
(Correct)
Active bibliography (related documents): More All
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)
Similar documents based on text: More All
1.2: Computing Downwards Accumulations on Trees Quickly - Gibbons (1995)
(Correct)
0.5: Streaming Algorithms (Extended Abstract) - Gibbons
(Correct)
0.5: Generic Accumulations - Pardo (2002)
(Correct)
Related documents from co-citation: More All
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)
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC