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Generic Programming with Extensible Data Types: Or, Making Ad Hoc Extensible Data Types Less Ad Hoc
Journal article   Open access   Peer reviewed

Generic Programming with Extensible Data Types: Or, Making Ad Hoc Extensible Data Types Less Ad Hoc

Alex Hubers and J. Garrett Morris
Proceedings of ACM on programming languages, Vol.7(ICFP), pp.356-384
08/31/2023
DOI: 10.1145/3607843
url
https://doi.org/10.1145/3607843View
Published (Version of record) Open Access

Abstract

We present a novel approach to generic programming over extensible data types. Row types capture the structure of records and variants, and can be used to express record and variant subtyping, record extension, and modular composition of case branches. We extend row typing to capture generic programming over rows themselves, capturing patterns including lifting operations to records and variations from their component types, and the duality between cases blocks over variants and records of labeled functions, without placing specific requirements on the fields or constructors present in the records and variants. We formalize our approach in System R , an extension of F with row types, and give a denotational semantics for (stratified) R in Agda.
row types extensible data types generic programming qualified types row polymorphism UIOWA OA Agreement

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