Remix.run Logo
▲ qgin 8 hours ago

NP looking a little more P than usual

▲jibalt 6 hours ago | parent | next [-]

No, this doesn't touch NP ?= P

▲pxx 3 hours ago | parent | next [-]

ETH (which was commonly thought to be true) implies P≠NP.

sure, this proof itself doesn't settle the P/NP problem, but we've lost one of our core beliefs.

▲jibalt 2 hours ago | parent [-]

I think that statement is too strong -- if ETH was a core belief then its implication P≠NP must also have been a core belief ... but I don't think that those who assumed ETH held it that strongly. As you say, it was commonly thought to be true ... as was P≠NP ... and the latter still is. But is not a "core belief" -- I think virtually everyone believes that they could be wrong, whichever side they're on.

▲mathgladiator 5 hours ago | parent | prev [-]

At this point, I have no expectations. The future is alien and strange, so time to talk the silicon runes...

▲ 6 hours ago | parent | prev [-]
[deleted]