Martin Dietzfelbinger, Miroslaw Kutylowski, RĂ¼diger Reischuk

It was shown some years ago that the computation time for many important

Boolean functions of n arguments on concurrent-read exclusive-write

parallel random-access machines

(CREW PRAMs) of unlimited size is at least f(n) = 0.72 log n.

On the other hand, it ...
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Hamidreza Jahanjou, Eric Miles, Emanuele Viola

We study which functions can be computed by efficient circuits whose gate connections are very easy to compute. We give quasilinear-size circuits for sorting whose connections can be computed by decision trees with depth logarithmic in the length of the gate description. We also show that NL has NC$^2$ circuits ... more >>>

Elette Boyle, Moni Naor

An Oblivious RAM (ORAM), introduced by Goldreich and Ostrovsky (JACM 1996), is a (probabilistic) RAM that hides its access pattern, i.e. for every input the observed locations accessed are similarly distributed. Great progress has been made in recent years in minimizing the overhead of ORAM constructions, with the goal of ... more >>>

Igor Sergeev

We investigate the number of pairwise comparisons sufficient to sort $n$ elements chosen from a linearly ordered set. This number is shown to be $\log_2(n!) + o(n)$ thus improving over the previously known upper bounds of the form $\log_2(n!) + \Theta(n)$. The new bound is achieved by the proposed group ... more >>>

Ivan Hu, Andrew Morgan, Dieter van Melkebeek

We consider the following computational problem: Given a rooted tree and a ranking of its leaves, what is the minimum number of inversions of the leaves that can be attained by ordering the tree? This variation of the well-known problem of counting inversions in arrays originated in mathematical psychology. It ... more >>>