Exploring the Limits of Fine-grained LLM-based Physics Inference via Premise Removal Interventions

Jordan Meadows, Tamsin James, Andre Freitas


Abstract
Language models (LMs) can hallucinate when performing complex mathematical reasoning. Physics provides a rich domain for assessing their mathematical capabilities, where physical context requires that any symbolic manipulation satisfies complex semantics (e.g., units, tensorial order). In this work, we systematically remove crucial context from prompts to force instances where model inference may be algebraically coherent, yet unphysical. We assess LM capabilities in this domain using a curated dataset encompassing multiple notations and Physics subdomains. Further, we improve zero-shot scores using synthetic in-context examples, and demonstrate non-linear degradation of derivation quality with perturbation strength via the progressive omission of supporting premises. We find that the models’ mathematical reasoning is not physics-informed in this setting, where physical context is predominantly ignored in favour of reverse-engineering solutions.
Anthology ID:
2024.findings-emnlp.378
Volume:
Findings of the Association for Computational Linguistics: EMNLP 2024
Month:
November
Year:
2024
Address:
Miami, Florida, USA
Editors:
Yaser Al-Onaizan, Mohit Bansal, Yun-Nung Chen
Venue:
Findings
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
6487–6502
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URL:
https://aclanthology.org/2024.findings-emnlp.378
DOI:
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Cite (ACL):
Jordan Meadows, Tamsin James, and Andre Freitas. 2024. Exploring the Limits of Fine-grained LLM-based Physics Inference via Premise Removal Interventions. In Findings of the Association for Computational Linguistics: EMNLP 2024, pages 6487–6502, Miami, Florida, USA. Association for Computational Linguistics.
Cite (Informal):
Exploring the Limits of Fine-grained LLM-based Physics Inference via Premise Removal Interventions (Meadows et al., Findings 2024)
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PDF:
https://aclanthology.org/2024.findings-emnlp.378.pdf