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[parent] [thread] 6 comments
1. thatgu+(OP)[view] [source] 2025-05-21 20:35:17
Intuitive yes, but since P != PSPACE is still unproven it's clearly hard to demonstrate.
replies(3): >>dragon+E >>LPisGo+J1 >>porphy+f9
2. dragon+E[view] [source] 2025-05-21 20:39:32
>>thatgu+(OP)
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....

replies(1): >>LPisGo+x1
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3. LPisGo+x1[view] [source] [discussion] 2025-05-21 20:45:28
>>dragon+E
This article is not about a proof that P = PSPACE. That would be way bigger news since it also directly implies P = NP.
4. LPisGo+J1[view] [source] 2025-05-21 20:46:35
>>thatgu+(OP)
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.
5. porphy+f9[view] [source] 2025-05-21 21:48:43
>>thatgu+(OP)
There's not even a proof that P != EXPTIME haha

EDIT: I am a dumbass and misremembered.

replies(2): >>doc_ma+8b >>LPisGo+6i
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6. doc_ma+8b[view] [source] [discussion] 2025-05-21 22:05:39
>>porphy+f9
I think there is right? It's been a long time but I seem to remember it following from the time hierarchy theorem
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7. LPisGo+6i[view] [source] [discussion] 2025-05-21 23:09:25
>>porphy+f9
I thought there was some simple proof of this, but all I can think of is time hierarchy theorem.
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