Natural Language Premise Selection: Finding Supporting Statements for Mathematical Text
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Abstract (arXiv)
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.
Key facts. Cited by 13 papers in the map (data through 7 Oct 2026). First posted on arXiv 30 Apr 2020.
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Citing papers per year: 2021: 3; 2022: 5; 2023: 0; 2024: 2; 2025: 3.
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- 2022A Survey of Deep Learning for Mathematical Reasoningcited by 124
- 2021NaturalProofs: Mathematical Theorem Proving in Natural Languagecited by 80
- 2022NaturalProver: Grounded Mathematical Proof Generation with Language Modelscited by 72
- 2024A Survey on Deep Learning for Theorem Provingcited by 55
- 2021Hybrid Autoregressive Inference for Scalable Multi-hop Explanation Regenerationcited by 17
- 2025From Informal to Formal -- Incorporating and Evaluating LLMs on Natural Language Requirements to Verifiable Formal Proofscited by 17
- 2021Do Natural Language Explanations Represent Valid Logical Arguments? Verifying Entailment in Explainable NLI Gold Standardscited by 12
- 2022SsciBERT: A Pre-trained Language Model for Social Science Textscited by 12
- 2022A Survey in Mathematical Language Processingcited by 9
- 2022PhysNLU: A Language Resource for Evaluating Natural Language Understanding and Explanation Coherence in Physicscited by 3
- 2024Exploring the Limits of Fine-grained LLM-based Physics Inference via Premise Removal Interventionscited by 3
- 2025Hierarchical Attention Generates Better Proofscited by 1
- 2025Foundation of Intelligence: Review of Math Word Problems from Human Cognition Perspective24 Oct 2025
- 2025Hierarchical Attention Generates Better Proofs27 Apr 2025
- 2025From Informal to Formal -- Incorporating and Evaluating LLMs on Natural Language Requirements to Verifiable Formal Proofs27 Jan 2025
- 2024Exploring the Limits of Fine-grained LLM-based Physics Inference via Premise Removal Interventions29 Apr 2024
- 2024A Survey on Deep Learning for Theorem Proving15 Apr 2024
- 2022A Survey of Deep Learning for Mathematical Reasoning20 Dec 2022
- 2022SsciBERT: A Pre-trained Language Model for Social Science Texts9 Jun 2022
- 2022A Survey in Mathematical Language Processing30 May 2022
- 2022NaturalProver: Grounded Mathematical Proof Generation with Language Models25 May 2022
- 2022PhysNLU: A Language Resource for Evaluating Natural Language Understanding and Explanation Coherence in Physics12 Jan 2022
- 2021Hybrid Autoregressive Inference for Scalable Multi-hop Explanation Regeneration25 Jul 2021
- 2021Do Natural Language Explanations Represent Valid Logical Arguments? Verifying Entailment in Explainable NLI Gold Standards5 May 2021
1 more
- 2022A Survey of Deep Learning for Mathematical Reasoningcited by 124
- 2025From Informal to Formal -- Incorporating and Evaluating LLMs on Natural Language Requirements to Verifiable Formal Proofscited by 17
- 2024Exploring the Limits of Fine-grained LLM-based Physics Inference via Premise Removal Interventionscited by 3
- 2025From Informal to Formal -- Incorporating and Evaluating LLMs on Natural Language Requirements to Verifiable Formal Proofs27 Jan 2025
- 2024Exploring the Limits of Fine-grained LLM-based Physics Inference via Premise Removal Interventions29 Apr 2024
- 2022A Survey of Deep Learning for Mathematical Reasoning20 Dec 2022
- 2021NaturalProofs: Mathematical Theorem Proving in Natural Languagecited by 80
- 2022NaturalProver: Grounded Mathematical Proof Generation with Language Modelscited by 72
- 2024A Survey on Deep Learning for Theorem Provingcited by 55
- 2021Hybrid Autoregressive Inference for Scalable Multi-hop Explanation Regenerationcited by 17
- 2021Do Natural Language Explanations Represent Valid Logical Arguments? Verifying Entailment in Explainable NLI Gold Standardscited by 12
- 2022SsciBERT: A Pre-trained Language Model for Social Science Textscited by 12
- 2022A Survey in Mathematical Language Processingcited by 9
- 2022PhysNLU: A Language Resource for Evaluating Natural Language Understanding and Explanation Coherence in Physicscited by 3
- 2025Hierarchical Attention Generates Better Proofscited by 1
- 2025Foundation of Intelligence: Review of Math Word Problems from Human Cognition Perspectivecited by 1
- 2025Foundation of Intelligence: Review of Math Word Problems from Human Cognition Perspective24 Oct 2025
- 2025Hierarchical Attention Generates Better Proofs27 Apr 2025
- 2024A Survey on Deep Learning for Theorem Proving15 Apr 2024
- 2022SsciBERT: A Pre-trained Language Model for Social Science Texts9 Jun 2022
- 2022A Survey in Mathematical Language Processing30 May 2022
- 2022NaturalProver: Grounded Mathematical Proof Generation with Language Models25 May 2022
- 2022PhysNLU: A Language Resource for Evaluating Natural Language Understanding and Explanation Coherence in Physics12 Jan 2022
- 2021Hybrid Autoregressive Inference for Scalable Multi-hop Explanation Regeneration25 Jul 2021
- 2021Do Natural Language Explanations Represent Valid Logical Arguments? Verifying Entailment in Explainable NLI Gold Standards5 May 2021
- 2021NaturalProofs: Mathematical Theorem Proving in Natural Language24 Mar 2021