Earlier quoted context omitted.
I'm not sure you understand how difficult it is to prove software correct. I've written a decent amount of Coq code. It's quite bonkers how much of proof one needs to write to get anything done. For reference, the certified compiler CompCert's code base is something like 10% code and 90% proofs.
It would ensure people thought about it a lot longer and harder than without those proofs, so the code had a whole lot more critical thinking done over it. Seems worth it in some areas like airplanes.
How do you solve it? Assume your AoA sensor is always correct? Congratulations, MCAS is a provably correct solution! Make the sensor behavior more complex? Sorry, the problem is now intractably complex (and still doesn't model the actual hardware).