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In the typed functional programming communities, there is much talk about "reasoning with types". But rarely is this elaborated into something concrete. Just how can we extract tangible information from types beyond playing mere type tetris? The secret sauce is called parametricity, first described by John C. Reynolds, and later applied to Haskell by Philip Wadler in his influential paper "Theorems for free!".
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Theorems for Free
Lars Hupel
Senior Consultant
INNOQ