2015 | OriginalPaper | Buchkapitel
Modular Verification of Concurrency-Aware Linearizability
verfasst von : Nir Hemed, Noam Rinetzky, Viktor Vafeiadis
Erschienen in: Distributed Computing
Verlag: Springer Berlin Heidelberg
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Linearizability is the de facto correctness condition for concurrent objects. Informally, linearizable objects provide the illusion that each operation takes effect
instantaneously
at
a
unique
point
in
time
between its invocation and response. Hence,
by
design
, linearizability cannot describe behaviors of
concurrency
−
aware
concurrent
objects
(CAobjects), objects in which several overlapping operations “seem to take effect
simultaneously
”. In this paper, we introduce
concurrency
−
aware
linearizability
(CAL), a generalized notion of linearizability which allows to formally describe the behavior of CA-objects. Based on CAL, we develop a thread- and procedure-modular verification technique for reasoning about CA-objects and their clients. Using our new technique, we present the first proof of linearizability of the elimination stack of Hendler
et
al
. [10] in which the stack’s elimination subcomponent, which is a general-purpose CA-object, is specified and verified independently of its particular usage by the stack.