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Electronic Colloquium on Computational Complexity

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Reports tagged with fixed-polynomial lower bounds:
TR13-037 | 15th March 2013
Alexander Knop

Circuit Lower Bounds for Heuristic MA

Revisions: 2

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 >>>

TR24-049 | 7th March 2024
Karthik Gajulapalli, Zeyong Li, Ilya Volkovich

Oblivious Classes Revisited: Lower Bounds and Hierarchies

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 $t:\mathbb{N} \rightarrow \mathbb{N}$ ... more >>>

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