Higher-order type-level programming in Haskell

Author:

Kiss Csongor1,Field Tony1,Eisenbach Susan1,Peyton Jones Simon2

Affiliation:

1. Imperial College London, UK

2. Microsoft Research, UK

Abstract

Type family applications in Haskell must be fully saturated. This means that all type-level functions have to be first-order, leading to code that is both messy and longwinded. In this paper we detail an extension to GHC that removes this restriction. We augment Haskell’s existing type arrow, |->|, with an unmatchable arrow, | >|, that supports partial application of type families without compromising soundness. A soundness proof is provided. We show how the techniques described can lead to substantial code-size reduction (circa 80%) in the type-level logic of commonly-used type-level libraries whilst simultaneously improving code quality and readability.

Publisher

Association for Computing Machinery (ACM)

Subject

Safety, Risk, Reliability and Quality,Software

Reference29 articles.

1. Maximilian C. Bolingbroke. 2011. Constraint Kinds for GHC. http://blog.omega- prime.co.uk/2011/09/10/constraint- kindsfor- ghc/ Maximilian C. Bolingbroke. 2011. Constraint Kinds for GHC. http://blog.omega- prime.co.uk/2011/09/10/constraint- kindsfor- ghc/

2. Associated type synonyms

3. Levity polymorphism

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Partial type constructors in practice;Proceedings of the 15th ACM SIGPLAN International Haskell Symposium;2022-09-06

2. Chesskell: a two-player game at the type level;Proceedings of the 14th ACM SIGPLAN International Symposium on Haskell;2021-08-18

3. Graded monads and type-level programming for dependence analysis;Proceedings of the 14th ACM SIGPLAN International Symposium on Haskell;2021-08-18

4. A dependently typed calculus with polymorphic subtyping;Science of Computer Programming;2021-08

5. Describing microservices using modern Haskell (experience report);Proceedings of the 13th ACM SIGPLAN International Symposium on Haskell;2020-08-09

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3