Abstract
The ProofLang Corpus includes 3.7M proofs (558 million words) mechanically extracted from papers that were posted on arXiv.org between 1992 and 2020. The focus of this corpus is proofs, rather than the explanatory text that surrounds them, and more specifically on the language used in such proofs. Specific mathematical content is filtered out, resulting in sentences such as Let MATH be the restriction of MATH to MATH. This dataset reflects how people prefer to write (informal) proofs, and is also amenable to statistical analyses and experiments with Natural Language Processing (NLP) techniques.
This research was supported in part by the Jean Perkins Foundation and by the NSF under Grant No. 1950885. Any opinions, findings, or conclusions are those of the authors alone, and do not necessarily reflect the views of the NSF or JPF.
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Papers on arXiv.org are not in the public domain, but all relevant legal factors (the purpose and character of the use, the nature of the original works, the amount and substantiality of the copied text, and the effect upon the potential market for the original) favor a conclusion of Fair Use under US copyright law.
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Hammer, H., Noda, N., Stone, C.A. (2023). ProofLang: The Language of arXiv Proofs. In: Dubois, C., Kerber, M. (eds) Intelligent Computer Mathematics. CICM 2023. Lecture Notes in Computer Science(), vol 14101. Springer, Cham. https://doi.org/10.1007/978-3-031-42753-4_19
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