Generic Zero-Cost Reuse for Dependent Types — mentioned by voxl

Thu, 13 Aug 2020 19:04:55 GMT

HoTT changes what equal means. In order for univalence to work you must be comfortable with arbitrary code running to perform the necessary substitutions. Isomorphism isn't for free, you can do some fancy cast-conversions (where cast is an identity function) that has been explored in generic zero-cost reuse [1] but this is not HoTT and uses essentially an UIP equality (which is inconsistent with HoTT). Your usage of the word "cast" in the second paragraph is a misnomer, because no systems programmer is going to want to perform an expensive transporation in HoTT! [1]…

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Generic Zero-Cost Reuse for Dependent Types · HackerPapers discussions

Generic Zero-Cost Reuse for Dependent Types — mentioned by voxl