Quantitative Reasoning for Proving Lock-Freedom

This article describes a novel quantitative proof technique for the modular and local verification of lock-freedom. In contrast to proofs based on temporal rely-guarantee requirements, this new quantitative reasoning method can be directly integrated in modern program logics that are designed for th...

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Veröffentlicht in:2013 28th Annual ACM/IEEE Symposium on Logic in Computer Science S. 124 - 133
Hauptverfasser: Hoffmann, Jan, Marmar, Michael, Zhong Shao
Format: Tagungsbericht
Sprache:Englisch
Veröffentlicht: IEEE 01.06.2013
Schlagworte:
Cognition
Concurrency
Data structures
Educational institutions
Interference
Liveness
Lock-Freedom
Non-Blocking Data Structures
Quantitative Analysis
Safety
Separation Logic
Synchronization
Upper bound
ISBN:1479904139, 9781479904136
ISSN:1043-6871
Online-Zugang:Volltext
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Zusammenfassung:This article describes a novel quantitative proof technique for the modular and local verification of lock-freedom. In contrast to proofs based on temporal rely-guarantee requirements, this new quantitative reasoning method can be directly integrated in modern program logics that are designed for the verification of safety properties. Using a single formalism for verifying memory safety and lock-freedom allows a combined correctness proof that verifies both properties simultaneously. This article presents one possible formalization of this quantitative proof technique by developing a variant of concurrent separation logic (CSL) for total correctness. To enable quantitative reasoning, CSL is extended with a predicate for affine tokens to account for, and provide an upper bound on the number of loop iterations in a program. Lock-freedom is then reduced to total-correctness proofs. Quantitative reasoning is demonstrated in detail, both informally and formally, by verifying the lock-freedom of Treiber's non-blocking stack. Furthermore, it is shown how the technique is used to verify the lock-freedom of more advanced shared-memory data structures that use elimination-backoff schemes and hazard-pointers.
ISBN:1479904139
9781479904136
ISSN:1043-6871
DOI:10.1109/LICS.2013.18