Beyond the Green Checkmark: Why Formal Verification Alone Can't Guarantee AI Safety

A mathematically proven AI system can still fail catastrophically in the real world. This story exposes the critical gap between formal verification—which guarantees mathematical soundness—and practical safety, where distribution drift, model degradation, and semantic shifts emerge unpredictably during live operation. It demonstrates that regulatory bodies and enterprises must pair theoretical proofs with continuous adversarial testing, not rely on mathematical guarantees alone.