Follow-up repo machine-verifies Hamiltonian cycle results on top of OpenAI/Anthropic ETH refutation claims
xennygrimmato_ · x · 2026-10-28
Researcher xennygrimmato published the eth-hamiltonicity GitHub repo, following up on OpenAI's (openai/math) and Anthropic's (anthropics/formal-math) claimed refutations of the Exponential Time Hypothesis posted on Oct 26, still under expert review. Key points:
- Results are for sparse graphs (|E| = O(n)), asymptotic only, conditional on those refutations holding
- R1: parity of the number of Hamiltonian cycles decided deterministically in subexponential time, with randomized decision and directed versions
- All proofs machine-checked in Lean, built atop rebuilt versions of both labs' Lean proofs (lean-bridge and lean-bridge-anthropic directories)
- Includes paper PDF, LaTeX source, findings notes; MIT/Apache-2.0 licensed
A notable independent formal verification of rare claims by top AI labs against a core complexity assumption.
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