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LLMs show routing failures on verified math structures, study finds

A new study investigates routing failures in large language models (LLMs) when processing formally verified algebraic structures. The research found that GPT-OSS 120B achieved 80.3% template accuracy and Llama 3.3-70B achieved 68.2% under blind conditions. Providing a "Lean verdict/witness cue" significantly improved accuracy for both models, with GPT-OSS 120B reaching 90.9% and Llama 3.3-70B reaching 81.8%. The study identified a common misroute between CRT and ring equivalence as a primary failure point and suggested that truth inference and proof-mechanism classification are separable capacities in LLMs. AI

IMPACT This research highlights limitations in LLM reasoning over formal systems, suggesting a need for improved architectural designs for complex symbolic manipulation.

RANK_REASON The cluster contains an academic paper detailing empirical findings on LLM performance on a specific task.

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AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

LLMs show routing failures on verified math structures, study finds

COVERAGE [2]

  1. arXiv cs.CL TIER_1 English(EN) · Manuel Israel C\'azares, Wenlin Zhang, Haobo Ma ·

    Mechanism-level routing failure in LLMs over Lean-verified algebraic structures

    arXiv:2607.04534v1 Announce Type: new Abstract: We present an empirical study of structural routing failure in large language models (LLMs) over a formally verified algebraic corpus. The task requires selecting the correct proof-mechanism label from a fixed closed template set fo…

  2. arXiv cs.CL TIER_1 English(EN) · Haobo Ma ·

    Mechanism-level routing failure in LLMs over Lean-verified algebraic structures

    We present an empirical study of structural routing failure in large language models (LLMs) over a formally verified algebraic corpus. The task requires selecting the correct proof-mechanism label from a fixed closed template set for compact mathematical objects drawn from the Fi…