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As far as the computer is concerned, a program is just a list of instructions. Not even functions of type `nat -> nat` exist at that level. However, that isn't a very convenient way to program, which is why high-level programming languages exist.

As far as a typed high-level programming language is concerned, a syntax tree that doesn't type check isn't a program, so the question of what it does at runtime is simply ill-posed.




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