One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs Inspired by the pedagogical method of "proof by counterexamples" widely used in human ...

Checking counterexample to Kaplansky units conjecture We follow the proof by Giles Gardam in "A counterexample to the unit conjecture for group rings" (https://arxiv.org/abs/2102.11818) and provide an ...

Generative large language models (LLMs) can follow human-provided instruction prompts and generate human-like responses. Apart from natural language responses, they have been found to be effective at ...

This letter reveals the incorrect argumentation, erroneous mathematical calculations, and misleading observations reported in the article titled “Counterexample to Passivity Preservation for Variable ...