{"id":571848,"date":"2019-03-06T03:08:58","date_gmt":"2019-03-06T11:08:58","guid":{"rendered":"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/?post_type=msr-research-item&#038;p=571848"},"modified":"2019-07-29T01:25:46","modified_gmt":"2019-07-29T08:25:46","slug":"higher-order-type-level-programming-in-haskell","status":"publish","type":"msr-research-item","link":"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/publication\/higher-order-type-level-programming-in-haskell\/","title":{"rendered":"Higher-order type-level programming in Haskell"},"content":{"rendered":"<p>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&#8217;s existing type arrow, (->), with an\u00a0 <em>unmatchable arrow,<\/em> (~>), that supports partial application of type families without compromising soundness. A soundness proof is provided.<\/p>\n<p>We show how the techniques described can lead to substantial code-size reduction (circa 80%) i the type-level logic of commonly-used type-level libraries whilst simultaneously improving code quality and readability.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>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&#8217;s existing type arrow, (->), with an\u00a0 unmatchable arrow, (~>), that supports [&hellip;]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":null,"msr_publishername":"ACM","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"","msr_journal":"","msr_number":"","msr_organization":"","msr_pages_string":"","msr_page_range_start":"","msr_page_range_end":"","msr_series":"","msr_volume":"","msr_copyright":"","msr_conference_name":"International Conference on Functional Programming 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