seL4
Isabelle/HOLThe verified microkernel
seL4 is the world's most rigorously verified operating system kernel. Built at NICTA (now Data61/CSIRO), it is a third-generation L4 microkernel with a complete formal proof that its C implementation correctly follows its abstract specification.
The verification guarantees no buffer overflows, no null pointer dereferences, no code injection, and no memory leaks — not through testing, but through mathematical proof covering every possible execution path.
seL4 is deployed in DARPA's autonomous helicopter program (HACMS), military systems, and aerospace applications where failure is not an option. After the initial verification effort, subsequent changes are significantly cheaper to re-verify, because the proof infrastructure already exists.