With respect to keeping the language small and simple (C2x charter 6c
and 11) this of course adds a feature. It allows higher-order type
rules (Forall types X, T<X> is a type) which adds to C the remaining
part of the negative fragment of natural deduction for minimal logic
[1], implications being function types and conjunctions implemented
by struct types.
[1]
https://lipn.univ-paris13.fr/~mazza/teaching/ProofTheoryNotes.pdf
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