@misc{ClaudeETH, author = {{Claude (Anthropic)}}, title = {A {$2^{o(n)}$} Time Algorithm for {3-SAT}}, year = {2026}, month = oct, note = {Version 1, October 27, 2026}, url = {https://hexagonmath.org/2610.00577v1} } @inproceedings{Freuder90, author = {Freuder, Eugene C.}, title = {Complexity of K-Tree Structured Constraint Satisfaction Problems}, booktitle = {Proceedings of the Eighth National Conference on Artificial Intelligence}, year = {1990}, pages = {4--9}, url = {https://www.aiinternational.org/Papers/AAAI/1990/AAAI90-001.pdf} } @article{IP01, author = {Impagliazzo, Russell and Paturi, Ramamohan}, title = {On the Complexity of {$k$-SAT}}, journal = {Journal of Computer and System Sciences}, volume = {62}, number = {2}, year = {2001}, pages = {367--375}, doi = {10.1006/jcss.2000.1727} } @inproceedings{KS13, author = {Kanj, Iyad and Szeider, Stefan}, title = {On the Subexponential Time Complexity of {CSP}}, booktitle = {Proceedings of the Twenty-Seventh AAAI Conference on Artificial Intelligence}, year = {2013}, pages = {459--465}, url = {https://cdn.aaai.org/ojs/8609/8609-13-12137-1-2-20201228.pdf} } @article{Marx10, author = {Marx, D{\'a}niel}, title = {Can You Beat Treewidth?}, journal = {Theory of Computing}, volume = {6}, year = {2010}, pages = {85--112}, doi = {10.4086/toc.2010.v006a005} } @misc{OpenAIETH, author = {{OpenAI}}, title = {The Exponential Time Hypothesis is False}, year = {2026}, note = {Preprint and accompanying Lean development, October 25, 2026}, url = {https://github.com/openai/math/tree/main/preprints/The-Exponential-Time-Hypothesis-is-False-October-25-2026} } @misc{OpenAILean, author = {{OpenAI}}, title = {Native Exact-Counting and Satisfiability Verification}, year = {2026}, note = {Lean 4 source, revision 7ef5c0cc5ca4b0e072b7a050fca09ab24bc6fa3a}, url = {https://github.com/openai/math/blob/7ef5c0cc5ca4b0e072b7a050fca09ab24bc6fa3a/lean/OAI/Algorithms/SubexponentialSAT/SqrtLogSpace/Final.lean} } @misc{AnthropicLean, author = {{Anthropic}}, title = {Formalization Accompanying ``A {$2^{o(n)}$} Time Algorithm for {3-SAT}''}, year = {2026}, note = {Lean 4 source, revision 16a5ce41304fcdaea4e0be7c132e1c361dc26da5}, url = {https://github.com/anthropics/formal-math/tree/16a5ce41304fcdaea4e0be7c132e1c361dc26da5/eth} } @misc{OpenAIGraph, author = {{OpenAI}}, title = {Spectral Expander and Weighted-Tree Proof Foundations}, year = {2026}, note = {Lean source, revision 7ef5c0cc5ca4b0e072b7a050fca09ab24bc6fa3a; exact source ranges in GraphPortManifest.json}, url = {https://github.com/openai/math/tree/7ef5c0cc5ca4b0e072b7a050fca09ab24bc6fa3a} }