AI achieves silver-medal standard solving International Mathematical Olympiad problems

Acknowledgements

We thank the Worldwide Mathematical Olympiad group for his or her help.

AlphaProof growth was led by Thomas Hubert, Rishi Mehta and Laurent Sartran; AlphaGeometry 2 and pure language reasoning efforts had been led by Thang Luong.

AlphaProof was developed with key contributions from Hussain Masoom, Aja Huang, Miklós Z. Horváth, Tom Zahavy, Vivek Veeriah, Eric Wieser, Jessica Yung, Lei Yu, Yannick Schroecker, Julian Schrittwieser, Ottavia Bertolli, Borja Ibarz, Edward Lockhart, Edward Hughes, Mark Rowland, Grace Margand. Alex Davies and Daniel Zheng led the event of casual methods resembling remaining reply dedication, with key contributions from Iuliya Beloshapka, Ingrid von Glehn, Yin Li, Fabian Pedregosa, Ameya Velingker and Goran Žužić. Oliver Nash, Bhavik Mehta, Paul Lezeau, Salvatore Mercuri, Lawrence Wu, Calle Soenne, Thomas Murrills, Luigi Massacci and Andrew Yang suggested and contributed as Lean specialists. Previous contributors embrace Amol Mandhane, Tom Eccles, Eser Aygün, Zhitao Gong, Richard Evans, Soňa Mokrá, Amin Barekatain, Wendy Shang, Hannah Openshaw, Felix Gimeno. This work was suggested by David Silver and Pushmeet Kohli.

The event of AlphaGeometry 2 was led by Trieu Trinh and Yuri Chervonyi, with key contributions by Mirek Olšák, Xiaomeng Yang, Hoang Nguyen, Junehyuk Jung, Dawsen Hwang and Marcelo Menegali. The event of the pure language reasoning system was led by Golnaz Ghiasi, Garrett Bingham, YaGuang Li, with key contributions by Swaroop Mishra, Nigamaa Nayakanti, Sidharth Mudgal, Qijun Tan, Junehyuk Jung, Hoang Nguyen, Alex Zhai, Dawsen Hwang, Mingyang Deng, Clara Huiyi Hu, Jarrod Kahn, Maciej Kula, Cosmo Du. Each AlphaGeometry and pure language reasoning methods had been suggested by Quoc Le.

David Silver, Quoc Le, Demis Hassabis, and Pushmeet Kohli coordinated and managed the general undertaking.

We’d additionally wish to thank Insuk Search engine optimisation, Evan Chen, Zigmars Rasscevskis, Kari Ragnarsson, Junhwi Bae, Jeonghyun Ahn, Jimin Kim, Hung Pham, Nguyen Nguyen, Son Pham, and Pasin Manurangsi who helped consider the standard of our language reasoning system. Jeff Stanway, Jessica Lo, Erica Moreira, Petko Yotov and Kareem Ayoub for his or her help for compute provision and administration. Prof Gregor Dolinar and Dr Geoff Smith MBE from the IMO Board, for the help and collaboration; and Tu Vu, Hanzhao Lin, Chenkai Kuang, Vikas Verma, Yifeng Lu, Xinyun Chen, Denny Zhou, Vihan Jain, Henryk Michalewski, Xavier Garcia, Arjun Kar, Lampros Lamprou, Kaushal Patel, Kelvin Xu, Ilya Tolstikhin, Olivier Bousquet, Anton Tsitsulin, Dustin Zelle, CJ Carey, Sam Blackwell, Abhi Rao, Vahab Mirrokni, Behnam Neyshabur, Ethan Dyer, Keith Rush, Moritz Firsching, Dan Shved, Ihar Bury, Divyanshu Ranjan, Hadi Hashemi, Alexei Bendebury, Soheil Hassas Yeganeh, Shibl Mourad, Simon Schmitt, Satinder Baveja, Chris Dyer, Jacob Austin, Wenda Li, Heng-tze Cheng, Ed Chi, Koray Kavukcuoglu, Oriol Vinyals, Jeff Dean and Sergey Brin for his or her help and recommendation.

Lastly, we’d wish to thank the numerous contributors to the Lean and Mathlib tasks, with out whom AlphaProof wouldn’t have been attainable.