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Polytypic Downwards Accumulations

Jeremy Gibbons

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.

Details

Address

Marstrand‚ Sweden

Book Title

Proceedings of Mathematics of Program Construction

Editor

Johan Jeuring

Month

jun

Pages

207−233

Publisher

Springer−Verlag

Series

Lecture Notes in Computer Science

Volume

1422

Year

1998

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