[PhaseLockk]

Maybe I can try to explain the parent comment's point a different way. When saying that rust works on types and not on arbitrary specifications, I think he is saying that rust is more limited than languages that support arbitrary specifications. However, by making this tradeoff it achieves a reasonable degree of safety without incurring a ton of overhead.

I believe the comment that types are aligned with the syntax is meant as a contrast to other languages which include specifications written in a format substantially different from or fully removed from the implementation. This can reduce the friction of using type-based verification when compared to formal verification capable of describing an arbitrarily complicated spec.

When discussing the scalability of types, I think he is saying that because types are coupled to the implementation, and don't support non-local reasoning, it is less likely that you will run into issues with type checking as you try to compose many small components into a larger program. In contrast, my impression is that with full formal verification, it can become extremely difficult to properly verify a large system.

Regarding your comparison to C and python, I think it's clear that the parent was comparing the specific type system and borrow checker that Rust provides vs. formal verification, not making a statement about the general concept of a type system. In particular, I don't think it's reasonable to assume he was saying the existence of types provides any sort of safety. Rather, it's clear he was saying the use of a powerful type system (such as that found in Rust or Haskell) to implement a limited specification of the program functionality can provide a degree of safety.