zlacker

[return to "For algorithms, a little memory outweighs a lot of time"]
1. LPisGo+Y9[view] [source] 2025-05-21 20:27:55
>>makira+(OP)
I think it is very intuitive that more space beats the pants off of more time.

In time O(n) you can use O(n) cells on a tape, but there are O(2^n) possible configurations of symbols on a tape of length n (for an alphabet with 2 symbols), so you can do so much more with n space than with n time.

◧◩
2. thatgu+pb[view] [source] 2025-05-21 20:35:17
>>LPisGo+Y9
Intuitive yes, but since P != PSPACE is still unproven it's clearly hard to demonstrate.
◧◩◪
3. porphy+Ek[view] [source] 2025-05-21 21:48:43
>>thatgu+pb
There's not even a proof that P != EXPTIME haha

EDIT: I am a dumbass and misremembered.

[go to top]