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Towards Finding Longer Proofs
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Synthetic data has long been recognized and used as an important ingredient in theorem proving.
“Synthetic data has long been recognized and used as an important ingredient in theorem proving63–66.”
From Solving olympiad geometry without human demonstrations (2024) · cites this paper as [64]
The Introduction says the authors introduce a synthetic dataset for theorem proving, and the datasets discussion describes synthetic problems as a useful benchmark. These passages support the use and value of synthetic data in this paper, but do not establish that it has long been recognized as an important ingredient across theorem proving. (LLM, conf=0.83)
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Cites
Proximal Policy Optimization Algorithms
Schulman, J., Wolski, F., Dhariwal, P., Radford, A., & Klimov, O. (2017) · arXiv · doi:10.48550/arxiv.1707.06347 · Cited by 10,625
Bengio, Y., Louradour, J., Collobert, R., & Weston, J. (2009) · Proceedings of the 26th Annual International Conference on Machine Learning · doi:10.1145/1553374.1553380 · Cited by 5,366 · cited 1×
“tice such principles as that nine times a number is the same as ten times the number minus the number ...”. The idea of learning using a curriculum of problems is also widely used in machine learning [20, 9, 60, 64] and in this work we apply curriculum learning to automatic theorem proving focusing on arithmetic. Our…”
MethodLearning and development in neural networks: the importance of starting small
Elman, J. L. (1993) · Cognition · doi:10.1016/0010-0277(93)90058-4 · Cited by 1,988 · cited 1×
“tice such principles as that nine times a number is the same as ten times the number minus the number ...”. The idea of learning using a curriculum of problems is also widely used in machine learning [20, 9, 60, 64] and in this work we apply curriculum learning to automatic theorem proving focusing on arithmetic. Our…”
MethodThinking Fast and Slow with Deep Learning and Tree Search
Anthony, T., Tian, Z., & Barber, D. (2017) · arXiv · doi:10.48550/arxiv.1705.08439 · Cited by 198
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Cited by
Sorted by citations
Solving olympiad geometry without human demonstrations
Trinh, T. H., Wu, Y., Le, Q. V., He, H., & Luong, T. (2024) · Nature · doi:10.1038/s41586-023-06747-5 · Cited by 311
Metadata
- Authors
- Zombori, Z., Csiszárik, A., Michalewski, H., Kaliszyk, C., & Urban, J.
- Affiliations
- Eötvös Loránd University (HU)
- University of Warsaw (PL)
- Universität Innsbruck (AT)
- Czech Technical University in Prague (CZ)
- Corresponding author
- Zombori, Zsolt
- Venue
- Lecture Notes in Computer Science
- Publisher
- Springer International Publishing
- Published
- 2021
- Pages
- 167-186
- ISSN
- 0302-9743 (ISSN-L)
- 1611-3349
- OpenAlex
- W2947304943
- Cited by
- 22
- References
- 4
- Citations by year
- 2026: 1 · 2025: 4 · 2024: 2 · 2023: 4 · 2022: 1 · 2021: 6
- FWCI
- 2.30
- Type
- conference paper
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Lecture notes in computer science (publishedVersion)
- Repository of the Academy's Library (Library of the Hungarian Academy of Sciences) (acceptedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- European Commission
- Akademia Górniczo-Hutnicza im. Stanislawa Staszica
- Infrastruktura PL-Grid
- Academic Computer Centre Cyfronet, AGH University of Science and Technology
- European Social Fund
- Topics
- Physical Sciences › Computer Science › Software › Logic, programming, and type systems
- Physical Sciences › Computer Science › Artificial Intelligence › AI-based Problem Solving and Planning
- Physical Sciences › Computer Science › Artificial Intelligence › Artificial Intelligence Applications
- Keywords
- automated theorem proving, reinforcement learning
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