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Objects Without Morphisms: What LLMs for Mathematics Do Not Represent

Large language models (LLMs) have reached expert-level performance on competition mathematics largely through the volume of search placed around them: candidate solutions are sampled in quantity and retained only when an external criterion accepts them. Such a procedure improves the outcome that survives it while leaving untouched what the model represents. We examine that question where no external criterion exists: translating statements between the dialects of neighbouring subfields, where fidelity turns on the level of generality at which content is asserted. The source leaves that level implicit in its vocabulary, so a faithful translation must recover it from the relation between th...

AuthorsYanli Wang, Suijin Wang, Xiaopeng Yuan et al.
Primary categorycs.LG
Published2 October 2026
Last updated at source2 October 2026
cs.LG
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