Questions tagged [alternation]

The tag has no usage guidance.

Filter by
Sorted by
Tagged with
2 votes
0 answers

Relationship of the P=PSPACE problem to alternating complexity classes

From a very naive point of view of someone who haven't studied complexity theory in depth, I am wondering whether the theorems that APSPACE=EXPTIME and AP=PSPACE have any derived results on separating ...
user avatar
-1 votes
1 answer

polylogarithmic space [closed]

I apologize if this is a silly question, but could someone tell me whether the class polyL (polylogarithmic space) is equal to the class ATIME(polylog)? If so, where can I find a reference to this or ...
user avatar
7 votes
0 answers

Oracles for sub-exponential circuit complexity of $\Sigma_2 EXP$

Couldn't find this one anywhere... It's an open problem whether $\Sigma_2 EXP$ problems have exponential-size circuit complexity. Is there an oracle relative to which $\Sigma_2 EXP$ has $2^{o(n)}$ ...
user avatar
9 votes
1 answer

Is a quadratic nondeterminism speed-up of deterministic computation plausible?

This is a follow up to nondeterministic speed-up of deterministic computation. Is it plausible that nondeterminism (or more generally alternation) would allow a general quadratic speed-up of ...
user avatar
  • 21.3k
14 votes
3 answers

Nondeterministic speed-up of deterministic computation

Can nondeterminism speed-up deterministic computation? If yes, how much? By speeding-up deterministic computation by nondeterminism I mean results of the form: $\mathsf{DTime}(f(n)) \subseteq \...
user avatar
  • 21.3k