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arXiv· arXiv:2512.23511· Xinyi Zheng, Ningke Li, Xiaokun Luan, Kailong Wang, Ling Shi, Meng Sun, Haoyu Wang·Indexed by this site · Originally published

Beyond correctness: using multi-step automated theorem proving to reveal logical flaws in large language model reasoning

Beyond Correctness: Exposing LLM-generated Logical Flaws in Reasoning via Multi-step Automated Theorem Proving

AI summary

Researchers propose the MATP framework, which uses multi-step automated theorem proving to reveal hidden logical flaws in large language model reasoning. The framework translates natural language reasoning into first-order logic, then uses an automated theorem prover to verify logical validity step by step. On 10,830 reasoning instances generated by 10 large language models (tasks from PrOntoQA-OOD, ProofWriter, FOLIO), MATP's reasoning-step verification exceeded the prompting baseline by more than 42 percentage points, and reasoning models' outputs were more logically coherent than those of general-purpose models.

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