DeepMind is pushing artificial intelligence into one of the hardest arenas in science, building a system that can navigate the unforgiving logic of formal mathematical proofs. Instead of just ...

Catalog description: Introduction to deductive logic. Topics include: basic concepts of deductive logic; techniques of formal proof in propositional and predicate logic. 3 units. Prerequisites: No ...

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 ...

Computer-assisted of mathematical proofs are not new. For example, computers were used to confirm the so-called 'four color theorem.' In a short release, 'Proof by computer,' the American Mathematical ...

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 ...

What seem to be Kurt Gödel's first notes on logic, an exercise notebook of 84 pages, contains formal proofs in higher-order arithmetic and set theory. The choice of these topics is clearly suggested ...

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 ...

Formal verification is an automatic checking methodology that catches many common design errors and can uncover ambiguities in the design. Formal verification is the process of verifying the ...

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 ...