Native Type Theory — mentioned by siraben

Sat, 20 Feb 2021 12:59:30 GMT

> For now we explore the language of a topos. There are multiple views, and often its full power is not used. Toposes support geometric logic, predicate logic, and moreover dependent type theory. We emphasize the latter: dependent types are expressive and pervasive, yet underutilized in mathematics. The next step of the article is the realization that a topos[0] has this expressive capability from the get-go. There's a nice list of clarifying examples in the paper[1], starting at the bottom of page 2, for instance, stacks with push and pop, untyped lambda calculus, monad comprehension syntax…

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Native Type Theory · HackerPapers discussions

Native Type Theory — mentioned by siraben