From John von Neumann’s universal machine to John Nash’s insight into computation, this video explores how computer scientists began measuring problems by the number of steps a machine must take as ...

Every time you pay online, your data is protected by a maths problem nobody has proved is unbreakable. Here is what that means, and why the world is already preparing for the worst.

Those that solve artificially simplified problems where quantum advantage is meaningless. Those that provide no genuine quantum advantage when all costs are properly accounted for. This critique is ...

Like many researchers in the field of computational complexity, Lance Fortnow—Professor and Former Founding Dean at the Illinois Institute of Technology’s College of Computing—has spent a lot of time ...

\begin{abstract} We present a locality--audit framework for proving circuit lower bounds for NP languages. We define an explicit NP--complete language equipped with structural invariances (``audits'') ...

Source: Darren Edwards What if one of the biggest unsolved problems in mathematics is not just about numbers or computers, but about observers like you and me? This isn’t a proposed solution to P vs ...

This essay offers an epistemological reinterpretation of the foundational divide between matrix mechanics and wave mechanics. Though formally equivalent, the two theories embody distinct modes of ...

The distinction between problems whose solutions can be quickly verified (NP) and quickly solved (P) is a foundational question in computer science and mathematics. The mainstream assumption is P≠NP.

At private gatherings, strategists and donors are swapping ideas to help the party capture the digital mojo that helped President Trump win. Yes, there’s a price tag. By Theodore Schleifer Theodore ...

When one thinks of mathematics, the thought that comes to most peoples’ heads is solving an equation and getting a correct answer. That is the case with many mathematical theorems, including one of ...