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 ...

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 ...

How do you prove something is true? For mathematicians, the answer is simple: Start with some basic assumptions and proceed, step by step, to the conclusion. QED, proof complete. If there’s a mistake ...

I must admit that several years ago when the method-of-moments proof concept began to be seriously considered by the FCC, both Don Markley and I had some reservations about its use. The objections ...

Some scientific discoveries matter because they reveal something new — the double helical structure of DNA, for example, or the existence of black holes. However, some revelations are profound because ...

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 ...

Logic studies how arguments work, and how ideas can fit together. Decision theory studies how decisions should be made, especially under uncertainty. Game theory considers how we reason strategically, ...