NDLI: Generic programming with fixed points for mutually recursive datatypes

Content Provider	ACM Digital Library
Author	Jeuring, Johan Löh, Andres Holdermans, Stefan Yakushev, Alexey Rodriguez
Abstract	Many datatype-generic functions need access to the recursive positions in the structure of the datatype, and therefore adopt a fixed point view on datatypes. Examples include variants of fold that traverse the data following the recursive structure, or the Zipper data structure that enables navigation along the recursive positions. However, Hindley-Milner-inspired type systems with algebraic datatypes make it difficult to express fixed points for anything but regular datatypes. Many real-life examples such as abstract syntax trees are in fact systems of mutually recursive datatypes and therefore excluded. Using Haskell's GADTs and type families, we describe a technique that allows a fixed-point view for systems of mutually recursive datatypes. We demonstrate that our approach is widely applicable by giving several examples of generic functions for this view, most prominently the Zipper.
Starting Page	233
Ending Page	244
Page Count	12
File Format	PDF MP4
ISSN	03621340 15581160
DOI	10.1145/1631687.1596585
Journal	ACM SIGPLAN Notices (SIGP)
Volume Number	44
Issue Number	9
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	1983-05-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Datatype-generic programming Fixed points Haskell Mutually recursive datatypes
Content Type	Audio Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design Software

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