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Natural Language Premise Selection: Finding Supporting Statements for Mathematical Text

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arxiv 2004.14959 v1 pith:N7RRDTIA submitted 2020-04-30 cs.CL

classification cs.CL
keywords mathematicalnaturalpremiseselectionsupportingtaskcombinationdifferent
verification ladder T0 review T1 audit T2 compute T3 formal

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Mathematical text is written using a combination of words and mathematical expressions. This combination, along with a specific way of structuring sentences makes it challenging for state-of-art NLP tools to understand and reason on top of mathematical discourse. In this work, we propose a new NLP task, the natural premise selection, which is used to retrieve supporting definitions and supporting propositions that are useful for generating an informal mathematical proof for a particular statement. We also make available a dataset, NL-PS, which can be used to evaluate different approaches for the natural premise selection task. Using different baselines, we demonstrate the underlying interpretation challenges associated with the task.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. From Informal to Formal -- Incorporating and Evaluating LLMs on Natural Language Requirements to Verifiable Formal Proofs

    cs.AI 2025-01 conditional novelty 6.0 of 10

    The authors create an 18,000-pair formal-verification dataset, evaluate ten LLMs on six subtasks in five languages, and find that 7-8B fine-tuned models match DeepSeek-R1-671B while also yielding mixed but positive tr...

  2. Hierarchical Attention Generates Better Proofs

    cs.LG 2025-04 conditional novelty 5.0 of 10

    A hierarchical attention regularizer improves pass@64 on Lean theorem proving benchmarks by about two percentage points, while its proof-complexity reduction is computed on a small subset and is less robust.

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