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> That’s the whole idea of static type checking: in return for restricting yourself to a controlled subset of the language that isn’t “too dynamic”, you gain the ability to type-check your code without running it.

Eh, you are mixing up distinctions.

All that's required of _static_ typing is that your static type specification finishes running before you start your program.

Whether that static type specification language is Turing complete or not is a completely separate issue. And, yes, you are right that it's generally useful for that language to be decidable. But see eg Haskell's UndecidableInstances.



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