Large Language Models Are Unconscious of Unreasonability in Math Problems

• URL: http://arxiv.org/abs/2403.19346v3
• Date: Tue, 01 Oct 2024 15:28:16 GMT
• Title: Large Language Models Are Unconscious of Unreasonability in Math Problems
• Authors: Jingyuan Ma, Damai Dai, Lei Sha, Zhifang Sui,
• Abstract summary: We study the behavior of large language models (LLMs) when faced with unreasonable math problems. Experiments show that LLMs are able to detect unreasonable errors, but still fail in generating non-hallucinatory content.
• Score: 28.534372555982856
• License:
• Abstract: Large language models (LLMs) demonstrate substantial capabilities in solving math problems. However, they tend to produce hallucinations when given questions containing unreasonable errors. In this paper, we study the behavior of LLMs when faced with unreasonable math problems and further explore their potential to address these problems. We construct the Unreasonable Math Problem (UMP) benchmark to examine the error detection ability of LLMs. Experiments show that LLMs are able to detect unreasonable errors, but still fail in generating non-hallucinatory content. In order to improve their ability of error detection and correction, we further design a strategic prompt template called Critical Calculation and Conclusion(CCC). With CCC, LLMs can better self-evaluate and detect unreasonable errors in math questions, making them more reliable and safe in practical application scenarios.

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