Russell Impagliazzo calls OpenAI's Exponential‑Time‑Hypothesis disproof “shocking” – could speed chip design and threaten encryption
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| Source: Techmeme | Original article
OpenAI has reportedly disproved the Exponential Time Hypothesis, a result that co‑author Russell Impagliazzo calls shocking and could eventually accelerate chip design and compromise encryption.
OpenAI has announced that its latest language model produced solutions to three “blockbuster” mathematics problems, one of which overturns the Exponential Time Hypothesis (ETH). The claim, first reported by Cade Metz of the New York Times, has drawn a sharp reaction from Russell Impagliazzo, co‑author of the hypothesis in 1999, who called the result “shocking news.” Impagliazzo and his original collaborator Ramamohan Paturi are now reviewing the model’s proof to verify the disproof.
ETH has been a cornerstone of theoretical computer science for more than two decades. It posits that certain classes of problems—most famously the Boolean satisfiability problem—cannot be solved substantially faster than exhaustive search in the worst case. Hundreds of papers rely on the assumption to argue about algorithmic limits, cryptographic security and the feasibility of large‑scale optimisation. If OpenAI’s model truly refutes ETH, the ripple effects could be profound.
Experts say a confirmed breach of ETH would reshape expectations for algorithm design, potentially enabling dramatically faster chip‑layout optimisation and other engineering tasks that currently hinge on worst‑case hardness. More dramatically, many public‑key encryption schemes rest on the belief that specific problems remain intractable; a collapse of ETH could force a re‑evaluation of those security foundations.
The community’s next step is a rigorous peer review of the AI‑generated proof. Researchers will test the solution against established verification pipelines and attempt independent reproductions. Watch for statements from the Institute for Computational Theory and any formal comment from OpenAI’s research team. The outcome will determine whether the claim triggers a paradigm shift in computer science or remains an intriguing, yet unconfirmed, AI artefact.
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