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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > POLYNOMIAL-TIME HIERARCHY:
Reports tagged with polynomial-time hierarchy:
TR05-035 | 24th March 2005
Christian Gla├čer, Stephen Travers, Klaus W. Wagner

A Reducibility that Corresponds to Unbalanced Leaf-Language Classes

We introduce the polynomial-time tree reducibility
(ptt-reducibility). Our main result states that for
languages $B$ and $C$ it holds that
$B$ ptt-reduces to $C$ if and only if
the unbalanced leaf-language class of $B$ is robustly contained in
the unbalanced leaf-language class of $C$.
... more >>>


TR11-151 | 9th November 2011
Valentine Kabanets, Osamu Watanabe

Is the Valiant-Vazirani Isolation Lemma Improvable?

Revisions: 2

The Valiant-Vazirani Isolation Lemma [TCS, vol. 47, pp. 85--93, 1986] provides an efficient procedure for isolating a satisfying assignment of a given satisfiable circuit: given a Boolean circuit $C$ on $n$ input variables, the procedure outputs a new circuit $C'$ on the same $n$ input variables with the property that ... more >>>


TR20-143 | 16th September 2020
Shuichi Hirahara

Characterizing Average-Case Complexity of PH by Worst-Case Meta-Complexity

We exactly characterize the average-case complexity of the polynomial-time hierarchy (PH) by the worst-case (meta-)complexity of GapMINKT(PH), i.e., an approximation version of the problem of determining if a given string can be compressed to a short PH-oracle efficient program. Specifically, we establish the following equivalence:

DistPH is contained in ... more >>>




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