Consider an example. An AI rewrites a TLS library. The code passes every test. But the specification requires constant-time execution: no branch may depend on secret key material, no memory access pattern may leak information. The AI’s implementation contains a subtle conditional that varies with key bits, a timing side-channel invisible to testing, invisible to code review. A formal proof of constant-time behavior catches it instantly. Without the proof, that vulnerability ships to production. Proving such low-level properties requires verification at the right level of abstraction, which is why the platform must support specialized sublanguages for reasoning about timing, memory layout, and other hardware-level concerns.
We start by picking a real number r. Your job is to approximate it as closely as possible using a rational fraction a / b with a reasonably small denominator. The approximation can’t be the same as r. Is this task easier if r itself is rational or irrational?
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Kigali denies supporting the M23, despite overwhelming evidence, and says its military presence in the region is a defensive measure against threats posed by armed groups in DR Congo to Rwanda's security.
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