arXiv AI By Zenghui Zhou, Xiaoke Fang, Zheng Zheng

LGMT: A Tool for Testing the Logical Reasoning Reliability of LLMs

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LGMT is an open‑source tool that tests logical reasoning reliability in large language models by generating logically equivalent follow‑up test cases from a source premise‑conclusion pair and checking for consistency in the model’s entailment predictions. It includes 20 built‑in metamorphic relations, allows custom relations verified by the Z3 theorem prover, and can be run via CLI or a web studio, even offline without an API key. In experiments on six popular LLMs across 3,091 metamorphic groups, LGMT uncovered inconsistency rates between 20.84% and 29.44%.

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