Researcher admits SETH/CSETH mixup, revises odds in P vs NP debate to >80% on CSETH

geoffreyirving · x · 2026-10-28

Researcher Geoffrey Irving, discussing odds on P vs NP, admits his earlier >99% confidence in the Exponential Time Hypothesis (ETH) contained significant "model error" — he had conflated SETH with a stronger circuit conjecture he calls CSETH (n-variable, n^(1+δ)-gate circuit SAT can't be solved in (2-ε)^n time). Using a ChatGPT-elicited consensus estimate: P(ETH | P≠NP) ≈ 90%, P(ETH | P=NP) = 0%, a 10:1 likelihood ratio favoring P=NP. After correcting for what he learned about the NP/ETH gap, he now puts >80% on CSETH, conceding he "ate a ton of Bayes points."

Related event: Researcher Rethinks Bayesian Odds on P vs NP After Confidence Blunder(2 posts)→

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