An O(sqrt(n)) space bound for obstruction-free leader election - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Communication Dans Un Congrès Année : 2013

An O(sqrt(n)) space bound for obstruction-free leader election

Résumé

We present a deterministic obstruction-free implementation of leader election from $O(\sqrt n)$ atomic $O(\log n)$-bit registers in the standard asynchronous shared memory system with $n$ processes. We provide also a technique to transform any deterministic obstruction-free algorithm, in which any process can finish if it runs for $b$ steps without interference, into a randomized wait-free algorithm for the oblivious adversary, in which the expected step complexity is polynomial in $n$ and $b$. This transformation allows us to combine our obstruction-free algorithm with the leader election algorithm by Giakkoupis and Woelfel (2012), to obtain a fast randomized leader election (and thus test-and-set) implementation from $O(\sqrt n)$ $O(\log n)$-bit registers, that has expected step complexity $O(\log^\ast n)$ against the oblivious adversary. Our algorithm provides the first sub-linear space upper bound for obstruction-free leader election. A lower bound of $\Omega(\log n)$ has been known since 1989. Our research is also motivated by the long-standing open problem whether there is an obstruction-free consensus algorithm which uses fewer than $n$ registers.
Fichier principal
Vignette du fichier
disc13_sqrt.pdf (381.15 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00875167 , version 1 (21-10-2013)

Identifiants

  • HAL Id : hal-00875167 , version 1

Citer

George Giakkoupis, Maryam Helmi, Lisa Higham, Philipp Woelfel. An O(sqrt(n)) space bound for obstruction-free leader election. DISC - 27th International Symposium on Distributed Computing, Oct 2013, Jerusalem, Israel. ⟨hal-00875167⟩
231 Consultations
581 Téléchargements

Partager

Gmail Facebook X LinkedIn More