Nah I don't disagree with you. Thing is even if you formally prove that for every input you produce a valid output. In safety certified software, there's the problem that if that input comes from a sensor, a sensor is an inherently probabilistic thing, and it may be that you will have false positives. The best you can do is build a safety case that even if you get false positives you end up in a safe state, but you can't guarantee that they won't ever increase operational costs.