AI finds smallest known 387-state Turing machine whose halting is ZFC-independent

spikedoanz · x · 2026-09-22

A system called Astra has reportedly discovered the smallest known Turing machine (387 states) whose halting status is independent of ZFC—meaning standard mathematical axioms cannot decide whether it halts.

Follow-up: Grok is currently formalizing the result in the Lean theorem prover.

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