Title
Two approaches for proving linearizability of multiset.
Abstract
Linearizability is a key correctness criterion for concurrent software. In our previous work, we have introduced local proof obligations, which, by showing a refinement between an abstract specification and its implementation, imply linearizability of the implementation. The refinement is shown via a process local simulation. We have incorporated the approach of verifying linearizability based on refinement in two rather different proof systems: a predicate logic based approach performing a simulation for two processes and second, an approach based on temporal logic that shows a refinement for an individual process using rely–guarantee reasoning and symbolic execution. To compare both proof techniques, we use an implementation of a multiset as running example. Moreover, we show how ownership annotations have helped us to reduce the proof effort. All proofs are mechanized in the theorem prover KIV.
Year
DOI
Venue
2014
10.1016/j.scico.2014.04.001
Science of Computer Programming
Keywords
Field
DocType
Linearizability,Concurrent data types,Interactive verification
Programming language,Computer science,Multiset,Automated theorem proving,Correctness,Theoretical computer science,Mathematical proof,Temporal logic,Proof complexity,Predicate logic,Proof assistant
Journal
Volume
Issue
ISSN
96
P3
0167-6423
Citations 
PageRank 
References 
1
0.35
24
Authors
4
Name
Order
Citations
PageRank
Bogdan Tofan1864.93
Oleg Travkin2525.66
Gerhard Schellhorn376956.43
Heike Wehrheim41013104.85