Complexity theory remains one of the great unsolved mathematical puzzles. Kenneth Regan is trying to figure it out. Kenneth Regan paused at lunch in New York to glance at incoming texts from top ...

A new proof, published to the Web less than one week ago, purports to finally demonstrate that, in complexity theory, P != NP. As fast as the proof went up though, people found some potential issues ...

"The P-NP problem is the most important open problem in computer science, if not all of mathematics. Simply stated, it asks whether every problem whose solution can be quickly checked by computer can ...