Alexander Knop

Santhanam (2007) proved that MA/1 does not have circuits of size $n^k$. We translate his result to the heuristic setting by proving that there is a constant $a$ such that for any $k$, there is a language in HeurMA that cannot be solved by circuits of size $n^k$ on more ... more >>>

Karthik Gajulapalli, Zeyong Li, Ilya Volkovich

In this work we study oblivious complexity classes. Among our results:

1) For each $k \in \mathbb{N}$, we construct an explicit language $L_k \in O_2P$ that cannot be computed by circuits of size $n^k$.

2) We prove a hierarchy theorem for $O_2TIME$. In particular, for any function $t:\mathbb{N} \rightarrow \mathbb{N}$ ...
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