Comment by thatguysaguy

19 days ago

Intuitive yes, but since P != PSPACE is still unproven it's clearly hard to demonstrate.

I think that since many people find it intuitive that P != NP, and PSPACE sits way on top of polynomial hierarchy that it is intuitive even if it’s unproven.

There's not even a proof that P != EXPTIME haha

EDIT: I am a dumbass and misremembered.

  • I think there is right? It's been a long time but I seem to remember it following from the time hierarchy theorem

  • I thought there was some simple proof of this, but all I can think of is time hierarchy theorem.

The article is about a new proof wherein P == PSPACE.

Something we all intuitively expected but someone finally figured out an obscure way to prove it.

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This is a really roundabout article that takes a meandering path to a total bombshell in the field of complexity theory. Sorry for spoiling but uhhh, you'd expect an article about P == PSPACE would get to the point faster....

  • This article is not about a proof that P = PSPACE. That would be way bigger news since it also directly implies P = NP.