There is no statutory requirement that formal logic be adhered to during examination of patent claims. Examiners and patent practitioners are free to use a wide variety of discussion and argument ...

In today's computer age, the implications of the discovery in formal logic that Newman and Nagel articulated in 1958 are of even broader interest, says Andrew Hodges. New York University Press: 1958.

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 ...

Proof complexity investigates the inherent difficulty of demonstrating that a given propositional formula is unsatisfiable. By analysing measures such as proof length, size, width and degree across ...

DeepMind’s AlphaProof system solved four out of six problems at the 2024 International Mathematical Olympiad, generating formally verified proofs through reinforcement learning trained on millions of ...

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 ...