Comment by smj-edison

There's some interesting work going on with this with Metamath Zero[0], where he's working on verifying everything down to the compiler, to make sure the compiler always emits correct code. His language, Metamath C, also allows for refinement types, which means you can prove certain properties. It's still in its infancy, but I've been watching it from the sidelines for a bit now.

Though in terms of practicality, Graydon Hoare has mentioned in the past that he isn't a big fan of complex systems, and so it's better to have a simple type system that covers 95% of the cases, and an escape hatch when it doesn't. I think that's still a fair assessment, but I've fallen down the proof rabbit hole so I am curious to see how far it could be pushed.

[0] https://github.com/digama0/mm0