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Humans tame the complexity of mathematical reasoning by developing hierarchies of abstractions.
The macsyma system
William A Martin and Richard J Fateman · 1971
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Isabelle/HOL: a proof assistant for higher-order logic
Tobias Nipkow, Markus Wenzel, and Lawrence C Paulson · 2002
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The lean theorem prover (system description)
Leonardo de Moura, Soonho Kong, Jeremy Avigad, Floris van Doorn, and Jakob von Raumer · 2015
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Propositions as types
Philip Wadler · 2015
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Thinking fast and slow with deep learning and tree search
Thomas Anthony, Zheng Tian, and David Barber · 2017
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Deepcoder: Learning to write programs
M Balog, AL Gaunt, M Brockschmidt, S Nowozin, and D Tarlow · 2017
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Reinforcement learning of theorem proving
Cezary Kaliszyk, Josef Urban, Henryk Michalewski, and Miroslav Olšák · 2018
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A general reinforcement learning algorithm that masters chess, shogi, and go through self-play
David Silver, Thomas Hubert, Julian Schrittwieser, Ioannis Antonoglou, Matthew Lai, Arthur Guez, Marc Lanctot, Laurent Sifre, Dharshan Kumaran, Thore Graepel, et al · 2018
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Holist: An environment for machine learning of higher order logic theorem proving
Kshitij Bansal, Sarah Loos, Markus Rabe, Christian Szegedy, and Stewart Wilcox · 2019
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Assessing mathematics misunderstandings via bayesian inverse planning
Anna N Rafferty, Rachel A Jansen, and Thomas L Griffiths · 2020
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Dreamcoder: Bootstrapping inductive program synthesis with wake-sleep library learning
Kevin Ellis, Catherine Wong, Maxwell Nye, Mathias Sablé-Meyer, Lucas Morales, Luke Hewitt, Luc Cary, Armando Solar-Lezama, and Joshua B Tenenbaum · 2021
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Contrastive reinforcement learning of symbolic reasoning domains
Gabriel Poesia, WenXin Dong, and Noah Goodman · 2021
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Leveraging language to learn program abstractions and search heuristics
Catherine Wong, Kevin M Ellis, Joshua Tenenbaum, and Jacob Andreas · 2021
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Tacticzero: Learning to prove theorems from scratch with deep reinforcement learning
Minchao Wu, Michael Norrish, Christian Walder, and Amir Dezfouli · 2021
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Hypertree proof search for neural theorem proving
Guillaume Lample, Marie-Anne Lachaux, Thibaut Lavril, Xavier Martinet, Amaury Hayat, Gabriel Ebner, Aurélien Rodriguez, and Timothée Lacroix · 2022
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Formal mathematics statement curriculum learning
Stanislas Polu, Jesse Michael Han, Kunhao Zheng, Mantas Baksys, Igor Babuschkin, and Ilya Sutskever · 2022
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