A framework for Verified Transactional Objects in Coq.

- Formalization of concurrent objects, linearizability, strict
  serializability, and associated proof techniques.
- Verified linearizable concurrent hash map
- Verified strictly serializable TML
- Verified strictly serializable transaction-predicated ma

Bell, Christian J.

Chlipala, Adam

Kaseorg, Anders

Lesani, Mohsen

Pierce, Benjamin C.

Xia, Li-yao

Zdancewic, Steve

Proceedings of the ACM on Programming Languages

English

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C4: Verified Transactional Objects

Mohsen Lesani

Li-yao Xia

Anders Kaseorg

Christian J. Bell

Adam Chlipala

Benjamin C. Pierce

Steve Zdancewic

NEUROSURGERY ENTHUSIASTIC WOMEN SOCIETY

Transactional objects combine the performance of classical concurrent objects with the high-level programmability of transactional memory. However, verifying the correctness of transactional objects is tricky, requiring reasoning simultaneously about classical concurrent objects, which guarantee the atomicity of individual methods—the property known as linearizability—and about software-transactional-memory libraries, which guarantee the atomicity of user-defined sequences of method calls—or serializability. We present a formal-verification framework called C4, built up from the familiar notion of linearizability and its compositional properties, that allows proof of both kinds of libraries, along with composition of theorems from both styles to prove correctness of applications or further libraries. We apply the framework in a significant case study, verifying a transactional set object built out of both classical and transactional components following the technique of transactional predication; the proof is modular, reasoning separately about the transactional and nontransactional parts of the implementation. Central to our approach is the use of syntactic transformers on interaction trees—i.e., transactional libraries that transform client code to enforce particular synchronization disciplines. Our framework and case studies are mechanized in Coq

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https://www.research.ed.ac.uk/files/286182408/C4_Verified_LESANI_DOA16122021_VOR_CC_BY.pdf

C4: Verified Transactional Objects

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