Fetching the paper…
Reading the bibliography…
Solving Olympiad-level mathematical problems represents a significant advancement in machine intelligence and automated reasoning.
On the decision problem and the mechanization of theorem proving in elementary geometry
W-T Wu · 1978
Earlier work this paper cites.
Generalized best-first search strategies and the optimality of a
Rina Dechter and Judea Pearl · 1985
Earlier work this paper cites.
Graphical models for probabilistic and causal reasoning
Judea Pearl · 1998
Earlier work this paper cites.
The coq proof assistant reference manual
Bruno Barras, Samuel Boutin, Cristina Cornes, Judicaël Courant, Yann Coscoy, David Delahaye, Daniel de Rauglaudre, Jean-Christophe Filliâtre, Eduardo Giménez, Hugo Herbelin, et al · 1999
Earlier work this paper cites.
A deductive database approach to automated geometry theorem proving and discovering
Shang-Ching Chou, Xiao-Shan Gao, and Jing-Zhong Zhang · 2000
Earlier work this paper cites.
Isabelle/HOL: a proof assistant for higher-order logic
Tobias Nipkow, Markus Wenzel, and Lawrence C Paulson · 2002
Earlier work this paper cites.
Formal proof–the four-color theorem
Georges Gonthier et al · 2008
Earlier work this paper cites.
History of interactive theorem proving
John Harrison, Josef Urban, and Freek Wiedijk · 2014
Earlier work this paper cites.
The lean theorem prover (system description)
Leonardo De Moura, Soonho Kong, Jeremy Avigad, Floris Van Doorn, and Jakob von Raumer · 2015
Earlier work this paper cites.
Mastering the game of go with deep neural networks and tree search
David Silver, Aja Huang, Chris J Maddison, Arthur Guez, Laurent Sifre, George Van Den Driessche, Julian Schrittwieser, Ioannis Antonoglou, Veda Panneershelvam, Marc Lanctot, et al · 2016
Earlier work this paper cites.
Mastering the game of go without human knowledge
David Silver, Julian Schrittwieser, Karen Simonyan, Ioannis Antonoglou, Aja Huang, Arthur Guez, Thomas Hubert, Lucas Baker, Matthew Lai, Adrian Bolton, et al · 2017
Earlier work this paper cites.
Attention is all you need
Ashish Vaswani, Noam Shazeer, Niki Parmar, Jakob Uszkoreit, Llion Jones, Aidan N Gomez, Łukasz Kaiser, and Illia Polosukhin · 2017
Cited alongside, same era.
Learning to prove theorems via interacting with proof assistants
Kaiyu Yang and Jia Deng · 2019
Cited alongside, same era.
Generative language modeling for automated theorem proving
Stanislas Polu and Ilya Sutskever · 2020
Cited alongside, same era.
Int: An inequality benchmark for evaluating generalization in theorem proving
Yuhuai Wu, Albert Qiaochu Jiang, Jimmy Ba, and Roger Grosse · 2020
Cited alongside, same era.
Alphazero
Hongming Zhang and Tianyang Yu · 2020
Cited alongside, same era.
Liquid tensor experiment
Peter Scholze · 2022
Later among the works it cites.
Solving quantitative reasoning problems with language models
Aitor Lewkowycz, Anders Andreassen, David Dohan, Ethan Dyer, Henryk Michalewski, Vinay Ramasesh, Ambrose Slone, Cem Anil, Imanol Schlag, Theo Gutman-Solo, et al · 2022
Later among the works it cites.
Chain-of-thought prompting elicits reasoning in large language models
Jason Wei, Xuezhi Wang, Dale Schuurmans, Maarten Bosma, Fei Xia, Ed Chi, Quoc V Le, Denny Zhou, et al · 2022
Later among the works it cites.
Josh Achiam, Steven Adler, Sandhini Agarwal, Lama Ahmad, Ilge Akkaya, Florencia Leoni Aleman, Diogo Almeida, Janko Altenschmidt, Sam Altman, Shyamal Anadkat, et al · 2023
Later among the works it cites.
Fimo: A challenge formal dataset for automated theorem proving
Chengwu Liu, Jianhao Shen, Huajian Xin, Zhengying Liu, Ye Yuan, Haiming Wang, Wei Ju, Chuanyang Zheng, Yichun Yin, Lin Li, et al · 2023
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Wenda Li, Lei Yu, Yuhuai Wu, and Lawrence C Paulson · 2020
Cited alongside, same era.
Maintaining a library of formal mathematics
Floris van Doorn, Gabriel Ebner, and Robert Y Lewis · 2020
Cited alongside, same era.
Training verifiers to solve math word problems, 2021
Karl Cobbe, Vineet Kosaraju, Mohammad Bavarian, Mark Chen, Heewoo Jun, Lukasz Kaiser, Matthias Plappert, Jerry Tworek, Jacob Hilton, Reiichiro Nakano, et al · 2021
Cited alongside, same era.
Minif2f: a cross-system benchmark for formal olympiad-level mathematics
Kunhao Zheng, Jesse Michael Han, and Stanislas Polu · 2021
Cited alongside, same era.
Hypertree proof search for neural theorem proving
Guillaume Lample, Timothee Lacroix, Marie-Anne Lachaux, Aurelien Rodriguez, Amaury Hayat, Thibaut Lavril, Gabriel Ebner, and Xavier Martinet · 2022
Cited alongside, same era.
Formal mathematics statement curriculum learning
Stanislas Polu, Jesse Michael Han, Kunhao Zheng, Mantas Baksys, Igor Babuschkin, and Ilya Sutskever · 2022
Cited alongside, same era.
Later among the works it cites.
Llemma: An open language model for mathematics
Zhangir Azerbayev, Hailey Schoelkopf, Keiran Paster, Marco Dos Santos, Stephen McAleer, Albert Q Jiang, Jia Deng, Stella Biderman, and Sean Welleck · 2023
Later among the works it cites.
Solving olympiad geometry without human demonstrations
Trieu H Trinh, Yuhuai Wu, Quoc V Le, He He, and Thang Luong · 2024
Closest in time.
Leandojo: Theorem proving with retrieval-augmented language models
Kaiyu Yang, Aidan Swope, Alex Gu, Rahul Chalamala, Peiyang Song, Shixing Yu, Saad Godil, Ryan J Prenger, and Animashree Anandkumar · 2024
Closest in time.
Towards large language models as copilots for theorem proving in lean
Peiyang Song, Kaiyu Yang, and Anima Anandkumar · 2024
Closest in time.
A lean proof of fermat’s last theorem
Kevin Buzzard and Richard Taylor · 2024
Closest in time.
Graph2tac: Learning hierarchical representations of math concepts in theorem proving
Jason Rute, Miroslav Olšák, Lasse Blaauwbroek, Fidel Ivan Schaposnik Massolo, Jelle Piepenbrock, and Vasily Pestun · 2024
Closest in time.