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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > HIERARCHY THEOREM:
Reports tagged with hierarchy theorem:
TR14-171 | 11th December 2014
Lance Fortnow, Rahul Santhanam

Hierarchies Against Sublinear Advice

We strengthen the non-deterministic time hierarchy theorem of
\cite{Cook72, Seiferas-Fischer-Meyer78, Zak83} to show that the lower bound
holds against sublinear advice. More formally, we show that for any constants
$c$ and $d$ such that $1 \leq c < d$, there is a language in $\NTIME(n^d)$
which is not in $\NTIME(n^c)/n^{1/d}$. ... more >>>


TR16-107 | 17th July 2016
Nathanael Fijalkow

Lower Bounds for Alternating Online Space Complexity

Revisions: 1

The notion of online space complexity, introduced by Karp in 1967, quantifies the amount of states required to solve a given problem using an online algorithm,
represented by a machine which scans the input exactly once from left to right.
In this paper, we study alternating machines as introduced by ... more >>>




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