Years ago, an audacious Fields medalist outlined a sweeping program that, he claimed, could be used to resolve a major ...

Can artificial intelligence allow computers to ensure safe autonomous systems and advance optimization? Two Princeton professors believe it can, and they received a research grant earlier this year to ...

Proof is a way to show a statement is always true by using worded or algebraic reasoning. Higher tier – There are algebraic ways to describe odd, even and consecutive integers, which are needed for ...

Using “refreshingly old” tools, mathematicians resolved a 50-year-old conjecture about how to categorize important functions called modular forms, with consequences for number theory and theoretical ...

Non-classical logics, encompassing modal, intuitionistic, fuzzy and other alternative logical systems, have increasingly benefitted from an algebraic treatment that elucidates the underlying structure ...