A paper that leaked onto the Web late last week claims to have solved one of the great modern problems in mathematics and computer science. Vinay Deolalikar, a principal research scientist at HP labs, ...

What if the famous P vs NP problem isn’t just about algorithms but about the observers trying to solve them? Research ...

This is a preview. Log in through your library . Abstract We show that there is a structure of countably infinite signature with $P = N_{2}P$ and a structure of ...

A solution to P vs NP could unlock countless computational problems—or keep them forever out of reach. 1. On Monday, July 19, 2021, in the middle of another strange pandemic summer, a leading computer ...

A diagram showing the relevant complexity classes in the P vs NP problem. “P” problems are solvable in polynomial time; “NP” problems might be solvable in polynomial time, and are checkable in ...

Has the biggest question in computer science been solved? On 6 August, Vinay Deolalikar, a mathematician at Hewlett-Packard Labs in Palo Alto, California, sent out draft copies of a paper titled ...

When the Clay Mathematics Institute put individual $1-million prize bounties on seven unsolved mathematical problems, they may have undervalued one entry—by a lot. If mathematicians were to resolve, ...

Imagine that a typical 9-by-9 Sudoku puzzle (in which the numbers 1 through 9 must appear exactly once in each row, column, and square) has been transformed into a 25-by-25 grid. The number of ...

Has the biggest question in computer science been solved? On 6 August, Vinay Deolalikar, a mathematician at Hewlett-Packard Labs in Palo Alto, California, sent out draft copies of a paper titled ...