In the Search for Optimal Concurrency

Conference paper

DOI: 10.1007/978-3-319-48314-6_10

Part of the Lecture Notes in Computer Science book series (LNCS, volume 9988)
Cite this paper as:
Gramoli V., Kuznetsov P., Ravi S. (2016) In the Search for Optimal Concurrency. In: Suomela J. (eds) Structural Information and Communication Complexity. SIROCCO 2016. Lecture Notes in Computer Science, vol 9988. Springer, Cham


It is common practice to use the epithet “highly concurrent” referring to data structures that are supposed to perform well in concurrent environments. But how do we measure the concurrency of a data structure in the first place? In this paper, we propose a way to do this, which allowed us to formalize the notion of a concurrency-optimal implementation.

The concurrency of a program is defined here as the program’s ability to accept concurrent schedules, i.e., interleavings of steps of its sequential implementation. To make the definition sound, we introduce a novel correctness criterion, LS-linearizability, that, in addition to classical linearizability, requires the interleavings of memory accesses to be locally indistinguishable from sequential executions. An implementation is then concurrency-optimal if it accepts all LS-linearizable schedules. We explore the concurrency properties of search data structures which can be represented in the form of directed acyclic graphs exporting insert, delete and search operations. We prove, for the first time, that pessimistic (e.g., based on conservative locking) and optimistic serializable (e.g., based on serializable transactional memory) implementations of search data-structures are incomparable in terms of concurrency. Thus, neither of these two implementation classes is concurrency-optimal, hence raising the question of the existence of concurrency-optimal programs.


Concurrency Search data structures Lower bounds 

Copyright information

© Springer International Publishing AG 2016

Authors and Affiliations

  • Vincent Gramoli
    • 1
  • Petr Kuznetsov
    • 2
  • Srivatsan Ravi
    • 3
  1. 1.Data61-CSIRO and University of SydneySydneyAustralia
  2. 2.Télécom ParisTechParisFrance
  3. 3.Purdue UniversityWest LafayettUSA

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