AI could soon spew out hundreds of mathematical proofs that look "right" but contain hidden flaws, or proofs so complex we ...
George Pólya’s random walk theorem absolved him of being a lurker and revealed how the laws of chance interact with physical ...
Abstract: A new proof of the direct part of the quantum channel coding theorem is shown based on a standpoint of quantum hypothesis testing. A packing procedure of ...
We present Prover Agent, a novel AI agent for automated theorem proving that integrates large language models (LLMs) with a formal proof assistant, Lean. Prover Agent coordinates an informal reasoning ...
Abstract: The von Neumann-Wigner theorem is used to demonstrate the general result that objects without inherent geometric symmetry will have entirely noncrossing characteristic mode eigenvalues. This ...