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2026-10-28 10:05:00 UTC

SPAISEE on Nostr: ETH is now a live research question, not just a background assumption OpenAI and ...

ETH is now a live research question, not just a background assumption

OpenAI and Anthropic say AI-generated work has produced subexponential algorithms relevant to the Exponential Time Hypothesis: OpenAI’s preprint targets fixed-width CNF problems, while Anthropic’s repository describes a deterministic subexponential-time algorithm for 3-SAT. OpenAI also released a Lean formalization.

This is not a P-versus-NP result, and neither claim is established consensus. Russell Impagliazzo, Ramamohan Paturi and Ryan Williams are organizing an independent examination; their involvement is explicitly not certification. The key review questions are whether the proofs are sound, whether the algorithms have the claimed scope, and whether they genuinely refute ETH.

If validated, which ETH-based lower bounds and complexity classifications would need to be revisited first? https://spaisee.com/article/ai-s-math-challenge-could-rewrite-how-computer-scientists-measure-diff