Titlebook: Automated Verification of Concurrent Search Structures; Siddharth Krishna,Nisarg Patel,Thomas Wies Book 2021 Springer Nature Switzerland A

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https://doi.org/10.1007/978-3-319-41234-4rected acyclic graphs (DAGs). We refer to this template as the LSM DAG template. We prove linearizability of the LSM DAG template by verifying that all operations satisfy the template-level atomic triples (§10.3). The template and proof parameterize over the implementation of the single-copy data st

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The Keyset Resource Algebra, to structures consisting of multiple nodes needs a notion of the . of a node, the set of keys for which a node is responsible. In this chapter, we define a keyset resource algebra (RA) that can be used for many single-copy search structures, and demonstrate it by verifying a two-node template.

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The Flow Framework,useful real-world structures, like the B-link tree (Chapter 6), have a dynamic and unbounded number of nodes. Extending our proofs to structures with unbounded nodes presents a challenge, because we want to prove that a thread preserves global invariants while reasoning only about the few nodes that are accessed or modified by an operation.

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