Title
Distributionally Linearizable Data Structures.
Abstract
Relaxed concurrent data structures have become increasingly popular, due to their scalability in graph processing and machine learning applications (\citeNguyen13, gonzalez2012powergraph ). Despite considerable interest, there exist families of natural, high performing randomized relaxed concurrent data structures, such as the popular MultiQueue~\citeMQ pattern for implementing relaxed priority queue data structures, for which no guarantees are known in the concurrent setting~\citeAKLN17. Our main contribution is in showing for the first time that, under a set of analytic assumptions, a family of relaxed concurrent data structures, including variants of MultiQueues, but also a new approximate counting algorithm we call the MultiCounter, provides strong probabilistic guarantees on the degree of relaxation with respect to the sequential specification, in arbitrary concurrent executions. We formalize these guarantees via a new correctness condition called distributional linearizability, tailored to concurrent implementations with randomized relaxations. Our result is based on a new analysis of an asynchronous variant of the classic power-of-two-choices load balancing algorithm, in which placement choices can be based on inconsistent, outdated information (this result may be of independent interest). We validate our results empirically, showing that the MultiCounter algorithm can implement scalable relaxed timestamps.
Year
DOI
Venue
2018
10.1145/3210377.3210411
SPAA '18: 30th ACM Symposium on Parallelism in Algorithms and Architectures Vienna Austria July, 2018
DocType
Volume
ISBN
Conference
abs/1804.01018
978-1-4503-5799-9
Citations 
PageRank 
References 
1
0.35
20
Authors
5
Name
Order
Citations
PageRank
Dan Alistarh134142.64
Trevor Brown2265.87
Justin Kopinsky3395.23
Jerry Li422922.67
Giorgi Nadiradze551.41