Learning to prove trigonometric identities

Z Liu, Y Li, Z Liu, L Li, Z Li - arXiv preprint arXiv:2207.06679, 2022 - arxiv.org
Automatic theorem proving with deep learning methods has attracted attentions recently. In
this paper, we construct an automatic proof system for trigonometric identities. We define the …

Learning to prove theorems by learning to generate theorems

M Wang, J Deng - Advances in Neural Information …, 2020 - proceedings.neurips.cc
We consider the task of automated theorem proving, a key AI task. Deep learning has shown
promise for training theorem provers, but there are limited human-written theorems and …

Lego-prover: Neural theorem proving with growing libraries

H Xin, H Wang, C Zheng, L Li, Z Liu, Q Cao… - arXiv preprint arXiv …, 2023 - arxiv.org
Despite the success of large language models (LLMs), the task of theorem proving still
remains one of the hardest reasoning tasks that is far from being fully solved. Prior methods …

Training a first-order theorem prover from synthetic data

V Firoiu, E Aygun, A Anand, Z Ahmed, X Glorot… - arXiv preprint arXiv …, 2021 - arxiv.org
A major challenge in applying machine learning to automated theorem proving is the
scarcity of training data, which is a key ingredient in training successful deep learning …

Isarstep: a benchmark for high-level mathematical reasoning

W Li, L Yu, Y Wu, LC Paulson - arXiv preprint arXiv:2006.09265, 2020 - arxiv.org
A well-defined benchmark is essential for measuring and accelerating research progress of
machine learning models. In this paper, we present a benchmark for high-level …

The Reason behind Good or Bad: Towards a Better Mathematical Verifier with Natural Language Feedback

B Gao, Z Cai, R Xu, P Wang, C Zheng, R Lin… - arXiv preprint arXiv …, 2024 - arxiv.org
Mathematical verfier achieves success in mathematical reasoning tasks by validating the
correctness of solutions. However, existing verifiers are trained with binary classification …

Autograding Mathematical Induction Proofs with Natural Language Processing

C Zhao, M Silva, S Poulsen - arXiv preprint arXiv:2406.10268, 2024 - arxiv.org
In mathematical proof education, there remains a need for interventions that help students
learn to write mathematical proofs. Research has shown that timely feedback can be very …

Enhancing neural theorem proving through data augmentation and dynamic sampling method

R Vishwakarma, S Mishra - arXiv preprint arXiv:2312.14188, 2023 - arxiv.org
Theorem proving is a fundamental task in mathematics. With the advent of large language
models (LLMs) and interactive theorem provers (ITPs) like Lean, there has been growing …

Theorem proving in artificial neural networks: new frontiers in mathematical AI

M Pantsar - European Journal for Philosophy of Science, 2024 - Springer
Computer assisted theorem proving is an increasingly important part of mathematical
methodology, as well as a long-standing topic in artificial intelligence (AI) research …

Learning to prove from synthetic theorems

E Aygün, Z Ahmed, A Anand, V Firoiu, X Glorot… - arXiv preprint arXiv …, 2020 - arxiv.org
A major challenge in applying machine learning to automated theorem proving is the
scarcity of training data, which is a key ingredient in training successful deep learning …