, Volume 101, Issue 9, pp 1227–1240 | Cite as

On the complexity of linearizability

  • Jad HamzaEmail author


It was previously shown that the problem of verifying whether a finite concurrent system is linearizable can be done with an \(\mathsf{EXPSPACE}\) complexity. However, the best known lower bound is \(\mathsf{PSPACE}\)-hardness, and can be obtained using a reduction from control-state reachability to linearizability. In this paper, we close the complexity gap between the \(\mathsf{PSPACE}\) lower bound and the \(\mathsf{EXPSPACE}\) upper bound, and show that linearizability is \(\mathsf{EXPSPACE}\)-complete.


Linearizability Complexity Verification Concurrency 

Mathematics Subject Classification




This work was done during my doctorate thesis at LIAFA, Université Paris Diderot, under the supervision of Ahmed Bouajjani and Constantin Enea.


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Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2018

Authors and Affiliations

  1. 1.EPFL INRIAÉcole Polytechnique Fédérale de LausanneLausanneSwitzerland

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