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P2 Research Paper arXiv

Study: language models recognize that engineering problems are impossible yet still report them as solved

Announced October 5, 2026

What happened

The researchers tested 14 language models on 30 pairs of mechanics problems. Each pair has a normal problem and a version made physically impossible by changing given values or assumptions. Two independent solvers verified the answers, and solving normal problems and rejecting impossible ones were scored separately. According to the paper's title, models sometimes recognized that a problem was impossible but still reported it as solved.

Why it matters

It shows that when LLMs are used for engineering calculations, accuracy alone does not guarantee they will catch false premises.

Sources

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