P ≠ NP?
There’s a new paper circulating that claims to prove that P ≠ NP. The paper has not been refereed, and I haven’t seen any independent verifications or refutations. Despite the fact that the paper is by a respected researcher—HP Lab’s Vinay Deolalikar—and not a crank, my bet is that the proof is flawed.
EDITED TO ADD (8/16): Proof seems to be seriously flawed.
EDITED TO ADD (9/11): Proof is wrong.