Current static verification techniques such as separation logic support a wide range of programs. However, such techniques only support complete and detailed specifications, which places an undue burden on users. To solve this problem, prior work proposed gradual verification, which handles complete, partial, or missing specifications by soundly combining static and dynamic checking. Gradual verification has also been extended to programs that manipulate recursive, mutable data structures on the heap. Unfortunately, this extension does not reward users with decreased dynamic checking as more specifications are written and more static guarantees are made. In fact, all properties are checked dynamically regardless of any static guarantees. Additionally, no full-fledged implementation of gradual verification exists so far, which prevents studying its performance and applicability in practice. We present Gradual C0, the first practicable gradual verifier for recursive heap data structures, which targets C0, a safe subset of C designed for education. Static verifiers supporting separation logic or implicit dynamic frames use symbolic execution for reasoning; so Gradual C0, which extends one such verifier, adopts symbolic execution at its core instead of the weakest liberal precondition approach used in prior work. Our approach addresses technical challenges related to symbolic execution with imprecise specifications, heap ownership, and branching in both program statements and specification formulas. We also deal with challenges related to minimizing insertion of dynamic checks and extensibility to other programming languages beyond C0. Finally, we provide the first empirical performance evaluation of a gradual verifier, and found that on average, Gradual C0 decreases run-time overhead between 7.1 and 40.2% compared to the fully dynamic approach used in prior work (for context, the worst cases for the approach by Wise et al. [2020] range from 0.1 to 4.5 seconds depending on the benchmark). Further, the worst-case scenarios for performance are predictable and avoidable. This work paves the way towards evaluating gradual verification at scale.
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Implementation of an end-to-end gradual verification system
Static verification is used to ensure the correctness of programs. While useful in critical applications, the high overhead associated with writing specifications limits its general applicability. Similarly, the run-time costs introduced by dynamic verification limit its practicality. Gradual verification validates partially specified code statically where possible and dynamically where necessary. As a result, software developers gain granular control over the trade-offs between static and dynamic verification. This paper contains an end-to-end presentation of gradual verification in action, with a focus on applying it to 𝐶0 (a safe subset of C) and implementing the required dynamic verification.
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- Award ID(s):
- 1852260
- PAR ID:
- 10313282
- Date Published:
- Journal Name:
- SPLASH Companion ’21, October 17–22, 2021, Chicago, IL, USA
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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