Anyway, you can verify the critical part of your C/Ada program by using: Why3 http://why3.lri.fr/ Frama-C http://frama-c.com/ (which is also extensible) SPARK https://www.adacore.com/about-spark
One company that I've worked for used generators, they were specifying the model with a DSL and they generated the code based on that. Can't give more information about that but there are others doing the same (SpaceX and NASA). Rust is very good for people that don't have the resources and money to throw at or are working in an industry where they don't need a certification, for example I have friends at Amazon in Romania that build Firecracker, a virtual machine that is supposed to improve the safety story on AWS Lambda.
And as an answer for your second question, at what cost? Also we don't know if Rust gets the scaling right. The compiler is already slow for the size of projects we already have.
That's a bold claim. What's the C formal validator which automatically handles both memory management and concurrency in source of any size within seconds/minutes? (Without making the source its own dialect rather than C)