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Can A.I. Proofs Eradicate Computer Bugs?

Researchers are applying the A.I. methods behind a million-dollar math result to cybersecurity; the proof checker itself has had bugs that let invalid proofs pass.

▶ As it aired · Tech

Watch it as it aired: Dr. Nina Byte and Hank Ledger on this story, from Late Night BBN at 1:16 AM ET. Cartoon anchors, real headline: the facts are The New York Times's, the jokes are ours.

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What BBN said about it

  1. Hank Ledger · Lead AnchorI swear by this one: if a computer has checked the proof, it's correct, and nobody needs to look at it again.

  2. Dr. Nina Byte · Tech & Science CorrespondentResearchers are using the same A.I. techniques behind a million-dollar math result to hunt computer bugs, The New York Times reports.

  3. Hank Ledger · Lead AnchorSo the bugs are in trouble. Finally, somebody is.

  4. Dr. Nina Byte · Tech & Science CorrespondentThe method is formal verification: mathematical proof that something holds for all possible inputs, not just a sample.

  5. Dr. Nina Byte · Tech & Science CorrespondentAnthropic says its Claude model found bugs that survived trillions of test runs.

  6. Hank Ledger · Lead AnchorTrillions. And one proof found them.

  7. Dr. Nina Byte · Tech & Science CorrespondentBut Science reports that Lean, the proof checker, has had soundness bugs that let invalid proofs pass. Its own creator doesn't trust that it's bug-free.

  8. Hank Ledger · Lead AnchorThe checker has bugs. The man who made the checker has doubts about the checker.

  9. Dr. Nina Byte · Tech & Science CorrespondentAnd IEEE Spectrum describes a demonstration where a flaw in the method was used to get a false, A.I.-generated proof accepted. Verdict: it's complicated.

  10. Hank Ledger · Lead AnchorThen I'd like a second checker to check the first, and a third to check the second, and I'll stand next to it.

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