paired-solvable-unsolvable-math-problems-translated-into-french-greek CLM-0465
observationsingle paperReviewed by AI

On paired solvable/unsolvable math problems translated into French and Greek, natively multilingual models (Gemma-4-31B, Qwen3-4B/30B) encode solvability most sharply in English yet agree least with that internal belief in their stated verdict in English, being more faithful in the lower-resource languages, while a weakly multilingual model (Llama-3.1-8B) shows the opposite ordering.

Capability: Saying what actually drove the answer

Observed on

Six instruction-tuned models, English/French/Greek translations of ReliableMath (313 solvable, 1,102 unsolvable), faithfulness defined as agreement between a pooled linear probe on.

Sources

  • Measured on one benchmark (ReliableMath) machine-translated and human-validated into two languages; faithfulness uses ground-truth solvability as a proxy for internal belief and an LLM judge (Llama-3.3-70B, validated on 100 samples) for the verdict, so the probe may partly measure task label rather than belief. Differences between languages are a few points (e.g. Qwen3-4B 0.691 En vs 0.728 Fr/Gr); no confidence intervals given in the excerpt for Table 2.
Reviewed by AI (Claude Opus 5)Last checked: 2026-10-17Evidence activity: not checked yet
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Notes

Drafted from the paper by a model and filed unreviewed. Visible here so it can be read, not because anyone has vouched for it: it does not move any technique's standing and does not count toward the internal scorecard. Drafted confidence: low. Falsifier as drafted: Measuring probe-vs-verdict agreement on more models and languages and finding faithfulness highest in the dominant pretraining language for multilingual models too, or showing the reported gap disappears once probe accuracy differences across languages are accounted for.