A team led by mathematician Thomas Hales has delivered a formal proof of the Kepler Conjecture, which is the definitive resolution of a problem that had gone unsolved for more than 300 years. The ...

Chinese AI company DeepSeek has released ' DeepSeek-Prover-V2 ', the second generation model of Prover, an AI specialized in mathematical reasoning, on Hugging Face and GitHub. It is ...

A mathematical problem more than 300 years old gets a formal proof with the help of computer formal verification. A team led by mathematician Thomas Hales has delivered a formal proof of the Kepler ...

Modal logic, an extension of classical logic, investigates the modes of truth such as necessity and possibility. Its development has been closely intertwined with advances in proof theory, a field ...

Computational logic and formal languages form a cornerstone of modern computer science and mathematics, providing the theoretical framework by which algorithms, automated reasoning systems and even ...