This paper develops a new approach to verifying a performant file system that isolates crash safety and concurrency reasoning to a transaction system that gives atomic access to the disk, so that the rest of the file system can be verified with sequential reasoning. We demonstrate this approach in DaisyNFS, a Network File System (NFS) server written in Go that runs on top of a disk. DaisyNFS uses GoTxn, a new verified, concurrent transaction system that extends GoJournal with two-phase locking and an allocator. The transaction system's specification formalizes under what conditions transactions can be verified with only sequential reasoning, and comes with a mechanized proof in Coq that connects the specification to the implementation. As evidence that proofs enjoy sequential reasoning, DaisyNFS uses Dafny, a sequential verification language, to implement and verify all the NFS operations on top of GoTxn. The sequential proofs helped achieve a number of good properties in DaisyNFS: easy incremental development (for example, adding support for large files), a relatively short proof (only 2x as many lines of proof as code), and a performant implementation (at least 60% the throughput of the Linux NFS server exporting ext4 across a variety of benchmarks).
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Qafny: A Quantum-Program Verifier
Because of the probabilistic/nondeterministic behavior of quantum programs, it is highly advisable to verify them formally to ensure that they correctly implement their specifications. Formal verification, however, also traditionally requires significant effort. To address this challenge, we present Qafny, an automated proof system based on the program verifier Dafny and designed for verifying quantum programs. At its core, Qafny uses a type-guided quantum proof system that translates quantum operations to classical array operations modeled within a classical separation logic framework. We prove the soundness and completeness of our proof system and implement a prototype compiler that transforms Qafny programs and specifications into Dafny for automated verification purposes. We then illustrate the utility of Qafny’s automated capabilities in efficiently verifying important quantum algorithms, including quantum-walk algorithms, Grover’s algorithm, and Shor’s algorithm.
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- Award ID(s):
- 2330974
- PAR ID:
- 10560374
- Editor(s):
- Aldrich, Jonathan; Salvaneschi, Guido
- Publisher / Repository:
- Schloss Dagstuhl – Leibniz-Zentrum für Informatik
- Date Published:
- Volume:
- 313
- ISSN:
- 1868-8969
- ISBN:
- 978-3-95977-341-6
- Page Range / eLocation ID:
- 313-313
- Subject(s) / Keyword(s):
- Quantum Computing Automated Verification Separation Logic Theory of computation → Program verification Theory of computation → Quantum information theory
- Format(s):
- Medium: X Size: 31 pages; 831757 bytes Other: application/pdf
- Size(s):
- 31 pages 831757 bytes
- Right(s):
- Creative Commons Attribution 4.0 International license; info:eu-repo/semantics/openAccess
- Sponsoring Org:
- National Science Foundation
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