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I propose a system for Automated Theorem Proving in higher order logic using deep learning and eschewing hand-constructed features.
HOL Light: a tutorial introduction
John Harrison · 1996
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Metamath: A computer language for pure mathematics
Norman Megill · 1997
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Mizar: the first 30 years
Roman Matuszewski and Piotr Rudnicki · 2005
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Proving the correctness of Disk Paxos
Mauro Jaskelioff and Stephan Merz · 2005
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Introduction to the Flyspeck project
Thomas C Hales · 2006
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Bandit based Monte-Carlo planning
Levente Kocsis and Csaba Szepesvári · 2006
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Understanding the difficulty of training deep feedforward neural networks
Xavier Glorot and Yoshua Bengio · 2010
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The Coq proof assistant reference manual
The Coq development team · 2012
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Overview and evaluation of premise selection techniques for large theory mathematics
Daniel Kühlwein, Twan van Laarhoven, Evgeni Tsivtsivadze, Josef Urban, and Tom Heskes · 2012
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Mash: machine learning for Sledgehammer
Daniel Kühlwein, Jasmin Christian Blanchette, Cezary Kaliszyk, and Josef Urban · 2013
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Premise selection for mathematics by corpus analysis and kernel methods
Jesse Alama, Tom Heskes, Daniel Kühlwein, Evgeni Tsivtsivadze, and Josef Urban · 2014
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Sequence to sequence learning with neural networks
Ilya Sutskever, Oriol Vinyals, and Quoc V Le · 2014
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Move evaluation in Go using deep convolutional neural networks
Chris J Maddison, Aja Huang, Ilya Sutskever, and David Silver · 2014
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Adam: A method for stochastic optimization
Diederik Kingma and Jimmy Ba · 2014
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MizAR 40 for Mizar 40
Cezary Kaliszyk and Josef Urban · 2015
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Effective approaches to attention-based neural machine translation
Minh-Thang Luong, Hieu Pham, and Christopher D Manning · 2015
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DeepMath-Deep sequence models for premise selection
Alex A Alemi, Francois Chollet, Geoffrey Irving, Christian Szegedy, and Josef Urban · 2016
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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
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