Few is Just Enough!: Small Model Theorem for Parameterized Verification and Shape Analysis
2015 (English)Doctoral thesis, comprehensive summary (Other academic)
This doctoral thesis considers the automatic verification of parameterized systems, i.e. systems with an arbitrary number of communicating components, such as mutual exclusion protocols, cache coherence protocols or heap manipulating programs. The components may be organized in various topologies such as words, multisets, rings, or trees.
The task is to show correctness regardless of the size of the system and we consider two methods to prove safety:(i) a backward reachability analysis, using the well-quasi ordered framework and monotonic abstraction, and (ii) a forward analysis which only needs to inspect a small number of components in order to show correctness of the whole system. The latter relies on an abstraction function that views the system from the perspective of a fixed number of components. The abstraction is used during the verification procedure in order to dynamically detect cut-off points beyond which the search of the state-space need not continue.
Our experimentation on a variety of benchmarks demonstrate that the method is highly efficient and that it works well even for classes of systems with undecidable property. It has been, for example, successfully applied to verify a fine-grained model of Szymanski's mutual exclusion protocol. Finally, we applied the methods to solve the complex problem of verifying highly concurrent data-structures, in a challenging setting: We do not a priori bound the number of threads, the size of the data-structure, the domain of the data to store nor do we require the presence of a garbage collector. We successfully verified the concurrent Treiber's stack and Michael & Scott's queue, in the aforementioned setting.
To the best of our knowledge, these verification problems have been considered challenging in the parameterized verification community and could not be carried out automatically by other existing methods.
Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2015. , 123 p.
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 1302
program verification, model checking, parameterized systems, infinite-state systems, reachability, approximation, safety, tree systems, shape analysis, small model properties, view abstraction, monotonic abstraction
Research subject Computer Science
IdentifiersURN: urn:nbn:se:uu:diva-264171ISBN: 978-91-554-9366-0OAI: oai:DiVA.org:uu-264171DiVA: diva2:859328
2015-11-18, ITC 2446, Lägerhyddsvägen 2, Uppsala, 13:00 (English)
Vojnar, Tomáš, Prof. Ing.
Abdulla, Parosh Aziz, Professor
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