CubitOom

@CubitOom@infosec.pub · Joined ⁨Jun⁩ ⁨2023⁩

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CubitOom@CubitOom@infosec.pub

Replying to @⁨beep@piefed.world⁩

LLM mathematical proof exploits theorem proover bugs [to get false statement to be “proven” true]

infosec.exchange/@0xabad1dea/117002106099986943

Infosec Exchangeabadidea (@0xabad1dea@infosec.exchange)Okay, we have a new contender for Most AI Thing to Ever Happen 1) July 25th: someone messes around with an LLM and posts a proof of the Collatz conjecture that does, in fact, verify in the theorem prover. (The AI use is not disclosed on the github page) https://github.com/xrchz/CollatzLean 2) July 26th: several serious bugs are posted in the theorem provers, that in principle could allow a false statement to be "proven" true. They're serious, yes, but no need for panic, because you're not going to blunder into accidentally exploiting the bugs while writing a proof, probably. https://github.com/leanprover/lean-kernel-arena/pull/81 3) July 28th: someone who was right to be very skeptical of the Collatz proof, and had the expertise to study it with a fine-toothed comb, discovered it was exploiting a bug https://github.com/leanprover/lean4/issues/14576 4) The "proof" turns out to be exploiting multiple similar but distinct bugs to pass different solver variants! ⚠️⚠️[IMPORTANT EDIT
CubitOom@CubitOom@infosec.pub

Replying to @⁨Valmond@lemmy.dbzer0.com⁩

One can be both.

JD Vance, once an ‘angry atheist’, is America’s most powerful Catholic. How will he wield his faith?

the GuardianJD Vance, once an ‘angry atheist’, is America’s most powerful Catholic. How will he wield his faith?In his new memoir, the vice-president covers his conversion and politics – at a time when hardline Catholicism is ascendant in the US