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Quoting Wikipedia "Many systems of type theory, such as the simply-typed lambda calculus, intuitionistic type theory, and the calculus of constructions, are also programming languages." I'm a Coq user and, to some extent, familiar with CoC. How CoC differs from intuitionistic type theory (Martin-Löf type theory?) and what are the major consequences of it? Both for proving theorems and for programming.

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  • $\begingroup$ This seems to be very similar to the following question on cstheory. $\endgroup$
    – cody
    Commented Apr 28, 2015 at 20:30

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