The formal verification of programs have progressed tremendously in the last decade. Principled but once academic approaches such as Hoare logic and abstract interpretation finally gave birth to quality verification tools, operating over source code (and not just idealized models thereof) and able to verify complex real-world applications. In this talk, I review some of the obstacles that remain to be lifted before source-level verification tools can be taken really seriously in the critical software industry: not just as sophisticated bug-finders, but as elements of absolute confidence in the correctness of a critical application.