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Asymptotic analyses of the space needed to run algorithms.

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need to prove that $DSPACE(O(2^n)) \neq EXP$

this question is from my computational complexity HW. I'm not sure if my solution is correct: If $DSPACE(O(2^n)) = EXP$, than we can take language $ L \in DTIME(2^{2^n})$ which not in $EXP$ (from the …
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need to prove that $DSPACE(O(2^n)) \neq EXP$

I agree that such an $L$ exists by THT and that $L_{pad}\in \text{DTIME}(2^n),$ but from there I'm not really grasping your argument. Where is $L_{pad}\in \text{DSPACE}(O(2^n))$ (or anything about spa …
Maxim Golubkov's user avatar