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Verifying mathematical proofs is difficult, but can be automated with the assistance of a computer.
Bleu: a method for automatic evaluation of machine translation
Kishore Papineni, Salim Roukos, Todd Ward, and Wei-Jing Zhu · 2002
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A Promising Path Towards Autoformalization and General Artificial Intelligence , 2020
Christian Szegedy, editor · 2020
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Mathematicians welcome computer-assisted proof in ‘grand unification’theory
Davide Castelvecchi et al · 2021
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Evaluating large language models trained on code
Mark Chen, Jerry Tworek, Heewoo Jun, Qiming Yuan, Henrique Pondé de Oliveira Pinto, Jared Kaplan, Harrison Edwards, Yuri Burda, Nicholas Joseph, Greg Brockman, Alex Ray, Raul Puri, Gretchen Krueger, Michael Petrov, Heidy Khlaaf, Girish Sastry, Pamela Mishkin, Brooke Chan, Scott Gray, Nick Ryder, Mikhail Pavlov, Alethea Power, Lukasz Kaiser, Mohammad Bavarian, Clemens Winter, Philippe Tillet, Felipe Petroski Such, Dave Cummings, Matthias Plappert, Fotios Chantzis, Elizabeth Barnes, Ariel Herbert-Voss, William Hebgen Guss, Alex Nichol, Alex Paino, Nikolas Tezak, Jie Tang, Igor Babuschkin, Suchir Balaji, Shantanu Jain, William Saunders, Christopher Hesse, Andrew N. Carr, Jan Leike, Joshua Achiam, Vedant Misra, Evan Morikawa, Alec Radford, Matthew Knight, Miles Brundage, Mira Murati, Katie Mayer, Peter Welinder, Bob McGrew, Dario Amodei, Sam McCandlish, Ilya Sutskever, and Wojciech Zaremba · 2021
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Proofnet: A benchmark for autoformalizing and formally proving undergraduate-level mathematics problems
Zhangir Azerbayev, Bartosz Piotrowski, and Jeremy Avigad · 2022
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Completion of the liquid tensor experiment, Jul 2022
Mathlib Community · 2022
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Proof artifact co-training for theorem proving with language models
Jesse Michael Han, Jason Rute, Yuhuai Wu, Edward W. Ayers, and Stanislas Polu · 2022
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Autoformalization with large language models
Yuhuai Wu, Albert Q. Jiang, Wenda Li, Markus N. Rabe, Charles Staats, Mateja Jamnik, and Christian Szegedy · 2022
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Hypergraphs
Chelsea Edmonds · 2023
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Measuring mathematical problem solving with the math dataset
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Minif2f: a cross-system benchmark for formal olympiad-level mathematics
Kunhao Zheng, Jesse Michael Han, and Stanislas Polu · 2021
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Towards a mathematics formalisation assistant using large language models
Ayush Agrawal, Siddhartha Gadgil, Navin Goyal, Ashvni Narayanan, and Anand Tadipatri · 2022
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{MSWindowsNT}KernelDescription
Formal abstracts
Cited in the paper.
Towards automating formalisation of theorem statements using large language models
Siddhartha Gadgil, Anand Rao Tadipatri, Ayush Agrawal, Ashvni Narayanan, and Navin Goyal
Cited in the paper.
Albert Q. Jiang, Sean Welleck, Jin Peng Zhou, Wenda Li, Jiacheng Liu, Mateja Jamnik, Timothée Lacroix, Yuhuai Wu, and Guillaume Lample · 2023
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Leandojo: Theorem proving with retrieval-augmented language models
Kaiyu Yang, Aidan M. Swope, Alex Gu, Rahul Chalamala, Peiyang Song, Shixing Yu, Saad Godil, Ryan Prenger, and Anima Anandkumar · 2023
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