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Dependent Types & Quantifiers

Really good types come from really good logic, and quantifiers are exceptionally great logic. Forms of "for all" and "there exist" have been around for thousands of years and through the Curry-Howard-Lambek correspondences we can make these into data types. Unfortunately as most programming languages are made from solving near term engineering challenges it has taken some time for these new data types to make there way into modern programming. But the revolution is afoot. Dependent types are showing up everywhere, from C++ to Scala, to Haskell, to JavaScript. Lets dive into this solution. This video builds on Turning logic into types    • Types as programs from logic   Universal Programming    • Creating Universal Programs