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| Content Provider | ACM Digital Library |
|---|---|
| Author | Hoenicke, Jochen Podelski, Andreas Majumdar, Rupak |
| Abstract | A thread-modular proof for the correctness of a concurrent program is based on an inductive and interference-free annotation of each thread. It is well-known that the corresponding proof system is not complete (unless one adds auxiliary variables). We describe a hierarchy of proof systems where each level k corresponds to a generalized notion of thread modularity (level 1 corresponds to the original notion). Each level is strictly more expressive than the previous. Further, each level precisely captures programs that can be proved using uniform Ashcroft invariants with k universal quantifiers. We demonstrate the usefulness of the hierarchy by giving a compositional proof of the Mach shootdown algorithm for TLB consistency. We show a proof at level 2 that shows the algorithm is correct for an arbitrary number of CPUs. However, there is no proof for the algorithm at level 1 which does not involve auxiliary state. . |
| Starting Page | 473 |
| Ending Page | 485 |
| Page Count | 13 |
| File Format | |
| ISBN | 9781450346603 |
| DOI | 10.1145/3009837.3009893 |
| Language | English |
| Publisher | Association for Computing Machinery (ACM) |
| Publisher Date | 2017-01-01 |
| Publisher Place | New York |
| Access Restriction | Subscribed |
| Subject Keyword | Owicki-gries Concurrency Parameterized verification Thread-modularity |
| Content Type | Text |
| Resource Type | Article |
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