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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Liveness-Preserving Atomicity Abstraction
verfasst von : Alexey Gotsman, Hongseok Yang
Erschienen in: Automata, Languages and Programming
Verlag: Springer Berlin Heidelberg
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Modern concurrent algorithms are usually encapsulated in libraries, and complex algorithms are often constructed using libraries of simpler ones. We present the first theorem that allows harnessing this structure to give compositional liveness proofs to concurrent algorithms and their clients. We show that, while proving a liveness property of a client using a concurrent library, we can soundly replace the library by another one related to the original library by a generalisation of a well-known notion of linearizability. We apply this result to show formally that lock-freedom, an often-used liveness property of non-blocking algorithms, is compositional for linearizable libraries, and provide an example illustrating our proof technique.