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LLMs lack human-like knowledge structure in math reasoning, study finds

A new study published on arXiv explores whether Large Language Models (LLMs) possess coherent knowledge structures similar to humans, particularly in mathematical reasoning. Researchers developed a framework based on Knowledge Space Theory (KST) to analyze eight LLMs, comparing their performance to human learners. The findings indicate that LLMs do not adhere to human-like knowledge dependencies, often failing to leverage prerequisite knowledge or maintain consistent structures among themselves. These deficiencies are largely undetectable by standard accuracy-based and LLM-as-judge evaluations. AI

IMPACT Reveals fundamental limitations in LLM knowledge representation, suggesting current evaluation methods may be insufficient.

RANK_REASON Academic paper analyzing LLM capabilities using a specific theoretical framework. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

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LLMs lack human-like knowledge structure in math reasoning, study finds

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Academic paper analyzing LLM capabilities using a specific theoretical framework. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Peng Cui, Heejin Do, Mrinmaya Sachan ·

    Do LLMs Exhibit Coherent Knowledge Structures in Mathematical Reasoning? A Perspective from Knowledge Space Theory

    arXiv:2609.05245v1 Announce Type: new Abstract: Human knowledge is inherently structured and interdependent: mastery of a concept requires prior mastery of its prerequisites, a principle formalized by Knowledge Space Theory (KST). While LLMs achieve strong performance on complex …