## Brief announcement: On the robustness of (semi)fast quorum-based implementations of atomic shared memory

##### Date

2008##### ISBN

978-1-59593-989-0##### Source

Proceedings of the Annual ACM Symposium on Principles of Distributed Computing27th ACM SIGACT-SIGOPS Symposium on Principles of Distributed Computing

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Atomic (linearizable) read/write memory is a fundamental abstractions in distributed computing. Following a seminal implementation of atomic memory of Attiya et al.[6], a folklore belief developed that in messaging-passing atomic memory implementations "reads must write." However, work by Dutta et al.[4] established that if the number of readers R is constrained with respect to the number of replicas S and the maximum number of crash-failures t so that R < S/t - 2, then single communication round-trip reads are possible. Such an implementation given in [4] is called fast. Subsequently, Georgiou et al.[3] relaxed the constraint in [4], and proposed semifast implementations with unbounded number of readers, where under realistic conditions most reads need only a single communication round-trip to complete. Their approach groups collections of readers into virtual nodes. Semifast behavior of their algorithm is preserved as long as the number of virtual nodes V is constrained by V < S/t - 2. Quorum systems are well-known mathematical tools that provide means for achieving coordination between processors in distributed systems. Given that the approach of Attiya et al.[6]is readily generalized from majorities to quorums (e.g., [5, 2]), and that the algorithms in [4] and[3] rely on intersections in specific sets of responding servers, one may ask: Can we characterize the conditions enabling fast implementations in a general quorumbased framework? This is what we establish in this work.