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The last decade has sparked several valiant efforts in deductive verification of distributed agreement protocols such as consensus and leader election. Oddly, there have been far fewer verification efforts that go beyond the core protocols…

Programming Languages · Computer Science 2021-09-14 Nouraldin Jaber , Christopher Wagner , Swen Jacobs , Milind Kulkarni , Roopsha Samanta

In deductive verification and software model checking, dealing with certain specification language constructs can be problematic when the back-end solver is not sufficiently powerful or lacks the required theories. One way to deal with this…

Logic in Computer Science · Computer Science 2024-12-10 Jesper Amilon , Zafer Esen , Dilian Gurov , Christian Lidström , Philipp Rümmer , Marten Voorberg

Quantum computers are becoming a reality and numerous quantum computing applications with a near-term perspective (e.g., for finance, chemistry, machine learning, and optimization) and with a long-term perspective (e.g., for cryptography or…

Reasoning about quantum programs remains a fundamental challenge, regardless of the programming model or computational paradigm. Despite extensive research, existing verification techniques are insufficient -- even for quantum circuits, a…

Quantum Physics · Physics 2026-04-16 Nengkun Yu , Jens Palsberg , Thomas Reps

Software contracts allow programmers to state rich program properties using the full expressive power of an object language. However, since they are enforced at runtime, monitoring contracts imposes significant overhead and delays error…

Programming Languages · Computer Science 2017-11-13 Phuc C. Nguyen , Thomas Gilray , Sam Tobin-Hochstadt , David Van Horn

This paper presents the design of HELIX, an end-to-end verified code generation system with a focus on the intersection of high-performance and high-assurance numerical computing. The code generation can be fine-tuned to generate efficient…

Programming Languages · Computer Science 2026-04-22 Vadim Zaliva , Yannick Zakowski , Ilia Zaichuk , Valerii Huhnin , Calvin Beck , Irene Yoon , Steve Zdancewic

Intermediate-scale quantum devices are becoming more reliable, and may soon be harnessed to solve useful computational tasks. At the same time, common classical methods used to verify their computational output become intractable due to a…

Quantum Physics · Physics 2023-07-03 Johannes Knörzer , Daniel Malz , J. Ignacio Cirac

Many simulation based Bounded Model Checking approaches to System Level Formal Verification (SLFV) have been devised. Typically such approaches exploit the capability of simulators to save computation time by saving and restoring the state…

Software Engineering · Computer Science 2015-09-25 Toni Mancini , Federico Mari , Annalisa Massini , Igor Melatti , Enrico Tronci

Universal quantifiers occur frequently in proof obligations produced by program verifiers, for instance, to axiomatize uninterpreted functions and to express properties of arrays. SMT-based verifiers typically reason about them via…

Programming Languages · Computer Science 2021-12-15 Alexandra Bugariu , Arshavir Ter-Gabrielyan , Peter Müller

Quantum metric learning enhances machine learning by mapping classical data to a quantum Hilbert space with maximal separation between classes. However, on current NISQ hardware, this mapping process itself is prone to errors and could be…

Quantum Physics · Physics 2026-03-31 Ahmed Shokry , Movahhed Sadeghi , Mahmut Kandemir

We present OSVAuto for automatic proofs about functional specifications that commonly arise when verifying operating system kernels. The algorithm behind OSVAuto is designed to support natively those data types that commonly occur in OS…

Symbolic Computation · Computer Science 2025-05-23 Yulun Wu , Bican Xia , Jiale Xu , Bohua Zhan , Tianqi Zhao

We present the PML 2 language, which provides a uniform environment for programming, and for proving properties of programs in an ML-like setting. The language is Curry-style and call-by-value, it provides a control operator (interpreted in…

Logic in Computer Science · Computer Science 2019-01-11 Rodolphe Lepigre

As with classical neural networks, quantum machine learning (QML) models are vulnerable to small input perturbations that can significantly alter output predictions. Certifying the robustness of QML models, particularly on NISQ hardware, is…

Quantum Physics · Physics 2026-05-29 Ji Guan , Mingsheng Ying

Formal verification entails testing software to ensure it operates as specified. Smart contracts are self-executing contracts with the terms of the agreement directly written into lines of code. They run on blockchain platforms and…

Software Engineering · Computer Science 2025-10-22 Rene Davila , Everardo Barcenas , Rocio Aldeco-Perez

Satisfiability modulo theories (SMT) is a core tool in formal verification. While the SMT-LIB specification language can be used to interact with theorem proving software, a high-level interface allows for faster and easier specifications…

Logic in Computer Science · Computer Science 2024-12-05 Emiko Soroka , Mykel J. Kochenderfer , Sanjay Lall

Distributed quantum systems and especially the Quantum Internet have the ever-increasing potential to fully demonstrate the power of quantum computation. This is particularly true given that developing a general-purpose quantum computer is…

Quantum Physics · Physics 2022-06-29 Yuan Feng , Sanjiang Li , Mingsheng Ying

Hoare-style verification provides a principled foundation for reasoning about the correctness of quantum programs, but existing approaches do not allow fully automatic verification. While automata-based verification scales well when…

Logic in Computer Science · Computer Science 2026-05-08 Wei-Lun Tsai , Yu-Fang Chen , Ondřej Lengál

Various techniques have been used in recent years for verifying quantum computers, that is, for determining whether a quantum computer/system satisfies a given formal specification of correctness. Barrier certificates are a recent novel…

Quantum Physics · Physics 2023-10-02 Marco Lewis , Paolo Zuliani , Sadegh Soudjani

Quantum computing promises remarkable approaches for processing information, but new tools are needed to compile program representations into the physical instructions required by a quantum computer. Here we present a novel adaptation of…

As quantum computing continues to emerge, ensuring the quality of quantum programs has become increasingly critical. Quantum program testing has emerged as a prominent research area within the scope of quantum software engineering. While…

Software Engineering · Computer Science 2025-10-21 Jiaming Ye , Xiongfei Wu , Shangzhou Xia , Fuyuan Zhang , Jianjun Zhao