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 ...

MIT Press recently published Fundamental Proof Methods in Computer Science, a book by Konstantine Arkoudas and David Musser, a professor emeritus of computer science at the Rensselaer Polytechnic ...

A mathematician will turn a groundbreaking 100-page proof into computer code. The proof tool, Lean, lets users turn proofs written in prose into rules and logic for testing. Kevin Buzzard already uses ...

Bitcoin’s consensus mechanism, proof of work (PoW), tends to bring about divisive opinions in society. While some argue it is a core aspect of Bitcoin’s success, others claim the network would retain ...

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 ...

For 50 years, mathematicians have believed that the total number of real numbers is unknowable. A new proof suggests otherwise. In October 2018, David Asperó was on holiday in Italy, gazing out a car ...