Title
On the k-Atomicity-Verification Problem
Abstract
Modern Internet-scale storage systems often provide weak consistency in exchange for better performance and resilience. An important weak consistency property is k-atomicity, which bounds the staleness of values returned by read operations. The k-atomicity-verification problem (or k-AV for short) is the problem of deciding whether a given history of operations is k-atomic. The 1-AV problem is equivalent to verifying atomicity/linearizability, a well-known and solved problem. However, for k ≥ 2, no polynomial-time k-AV algorithm is known. This paper makes the following contributions towards solving the k-AV problem. First, we present a simple 2-AV algorithm called LBT, which is likely to be efficient (quasilinear) for histories that arise in practice, although it is less efficient (quadratic) in the worst case. Second, we present a more involved 2-AV algorithm called FZF, which runs efficiently (quasilinear) even in the worst case. To our knowledge, these are the first algorithms that solve the 2-AV problem fully. Third, we show that the weighted k-AV problem, a natural extension of the k-AV problem, is NP-complete.
Year
DOI
Venue
2013
10.1109/ICDCS.2013.45
Distributed Computing Systems
Keywords
DocType
Volume
registers,np complete,formal verification,terminology,resilience,history,parallel,clustering algorithms,computational complexity,data consistency,data integrity
Journal
abs/1309.5522
ISSN
Citations 
PageRank 
1063-6927
6
0.45
References 
Authors
10
4
Name
Order
Citations
PageRank
Wojciech Golab121017.22
Jeremy Hurwitz261.13
Xiaozhou Steve Li317910.55
Li44213.71