Directional Drift in Arithmetic Reasoning: How Comparative Cues Steer LLM Predictions

Mohammadamin Shafiei, Hamidreza Saffari, Nafise Sadat Moosavi


Abstract
Arithmetic tasks are widely used to evaluate LLM reasoning because they provide objective truth. Yet accuracy alone cannot distinguish whether prompt sensitivity reflects random prediction instability or systematic semantic bias. We study this question in comparative arithmetic, where semantically equivalent framings can cue directional outcomes such as more, less, or equal. We introduce MathComp, a balanced benchmark of 10,800 controlled comparison problems spanning multiple framing conditions and answer formats. Across ten LLMs, semantically equivalent comparative cues systematically bias predictions toward cued outcomes even when it is numerically incorrect. Notably, this effect persists even when cue words are removed from the answer options, suggesting that framing bias reflects broader semantic steering rather than simple label copying. Chain-of-thought reasoning mitigates the effect substantially, but residual directional drift remains. These findings suggest that prompt sensitivity in arithmetic reasoning can exhibit structured semantic bias toward linguistically cued outcomes, with implications for robustness evaluation and benchmark design.
Anthology ID:
2026.findings-emnlp.1989
Volume:
Findings of the Association for Computational Linguistics: EMNLP 2026
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
Findings
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
42392–42406
Language:
URL:
https://aclanthology.org/2026.findings-emnlp.1989/
DOI:
10.18653/2026.findings-emnlp.1989
Bibkey:
Cite (ACL):
Mohammadamin Shafiei, Hamidreza Saffari, and Nafise Sadat Moosavi. 2026. Directional Drift in Arithmetic Reasoning: How Comparative Cues Steer LLM Predictions. In Findings of the Association for Computational Linguistics: EMNLP 2026, pages 42392–42406, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Directional Drift in Arithmetic Reasoning: How Comparative Cues Steer LLM Predictions (Shafiei et al., Findings 2026)
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PDF:
https://aclanthology.org/2026.findings-emnlp.1989.pdf