Latest in Complexity & P vs NP

eweek.com
886 words

OpenAI Challenges Computing Theory With AI Proof

A decades-old assumption about the limits of computing may have met an unexpected challenger: artificial intelligence. On Oct. 26, the company announced that its models had produced a proof disputing the Exponential Time Hypothesis (ETH), a longstanding assumption about how difficult…

209 words

OpenAI Proved Exponential Time Hypothesis is False

There is no practical speed up yet. It just shows that the assumption and claim that some really hard problems only have exponential solutions is false. This could be like proving that there are superconductors beyond 6 degrees of absolute zero…

note.com
678 words

OpenAI Announces Three New Proofs in Mathematics, Computer Science, and Physics, Claiming Disproof of the Exponential Time Hypothesis. Key Verification Points to Consider Before Applying AI Achievements to Your Work

On October 26, 2026 (local time), OpenAI announced that it had obtained "major" discoveries in three fields: mathematics, computer science, and physics. The subject areas are harmonic analysis, computational complexity theory, and quantum field theory. Of particular note is the achievement in…

Complexity & P vs NP

Computational complexity: P vs NP, hardness results, the exponential time hypothesis and lower bounds on classical and quantum computation.

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