Replacing the Human in the Loop: Towards Automated Evaluation of LLM Mathematical Proof Generalization

Carolina Dias-Alexiou, Edison Marrese-Taylor, Alfredo Solano, Yutaka Matsuo


Abstract
As we continue to extend their range of applications, the study of the generalization capabilities of large language models (LLM) has become an important topic. Previous works have recently proposed to study these abilities in the context of mathematical reasoning. This was done by asking models to reproduce proofs that they have most likely seen during training, but when key symbols are replaced. Since this evaluation relies heavily on human feedback, we study to what degree this evaluation can be automatically performed. To that end, we simulate the human evaluation proposed by previous work by interactively presenting the same questions to the LLMs as prompts. We analyze the degree of alignment between human and model answers via an accuracy and correlation analysis, as well as via inter-annotator agreement metrics. We test a selection of models, including ones with reasoning capabilities, and show LLMs currently have important limitations in this regard, which cannot be addressed by ICL.
Anthology ID:
2026.findings-aacl.50
Volume:
Findings of the Association for Computational Linguistics: IJCNLP-AACL 2026
Month:
November
Year:
2026
Address:
Hengqin, China
Editors:
Yue Zhang, Ruifeng Xu, Ayu Purwarianti, Tong Rong, Jun Suzuki
Venue:
Findings
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
996–1004
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URL:
https://aclanthology.org/2026.findings-aacl.50/
DOI:
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Cite (ACL):
Carolina Dias-Alexiou, Edison Marrese-Taylor, Alfredo Solano, and Yutaka Matsuo. 2026. Replacing the Human in the Loop: Towards Automated Evaluation of LLM Mathematical Proof Generalization. In Findings of the Association for Computational Linguistics: IJCNLP-AACL 2026, pages 996–1004, Hengqin, China. Association for Computational Linguistics.
Cite (Informal):
Replacing the Human in the Loop: Towards Automated Evaluation of LLM Mathematical Proof Generalization (Dias-Alexiou et al., Findings 2026)
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PDF:
https://aclanthology.org/2026.findings-aacl.50.pdf