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Quantum error correction (QEC) is fundamental for suppressing noise in quantum hardware and enabling fault-tolerant quantum computation. In this paper, we propose an efficient verification framework for QEC programs. We define an assertion…

Programming Languages · Computer Science 2025-10-30 Qifan Huang , Li Zhou , Wang Fang , Mengyu Zhao , Mingsheng Ying

Ensuring the correct functionality of systems software, given its safety-critical and low-level nature, is a primary focus in formal verification research and applications. Despite advances in verification tooling, conventional programmers…

Programming Languages · Computer Science 2025-04-04 Yiyuan Cao , Jiayi Zhuang , Houjin Chen , Jinkai Fan , Wenbo Xu , Zhiyi Wang , Di Wang , Qinxiang Cao , Yingfei Xiong , Haiyan Zhao , Zhenjiang Hu

Most automated program verifiers for separation logic use either symbolic execution or verification condition generation to extract proof obligations, which are then handed over to an SMT solver. Existing verification algorithms are…

Programming Languages · Computer Science 2024-05-28 Marco Eilers , Malte Schwerhoff , Peter Müller

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…

Quantum Physics · Physics 2024-07-09 Liyi Li , Mingwei Zhu , Rance Cleaveland , Alexander Nicolellis , Yi Lee , Le Chang , Xiaodi Wu

CoqQ is a framework for reasoning about quantum programs in the Coq proof assistant. Its main components are: a deeply embedded quantum programming language, in which classic quantum algorithms are easily expressed, and an expressive…

Programming Languages · Computer Science 2022-07-26 Li Zhou , Gilles Barthe , Pierre-Yves Strub , Junyi Liu , Mingsheng Ying

Automatic software verification tools help to find hard-to-detect faults in programs checked against specified requirements non-interactively. Besides, they can prove program correctness formally under certain assumptions. These…

Software Engineering · Computer Science 2023-09-29 Ilja Zakharov , Evgeny Novikov , Ilya Shchepetkov

Quantitative separation logic (QSL) is an extension of separation logic (SL) for the verification of probabilistic pointer programs. In QSL, formulae evaluate to real numbers instead of truth values, e.g., the probability of memory-safe…

Logic in Computer Science · Computer Science 2022-01-28 Kevin Batz , Ira Fesefeldt , Marvin Jansen , Joost-Pieter Katoen , Florian Keßler , Christoph Matheja , Thomas Noll

Modern program verifiers use logic-based encodings of the verification problem that are discharged by a back end reasoning engine. However, instances of such encodings for large programs can quickly overwhelm these back end solvers. Hence,…

Logic in Computer Science · Computer Science 2016-07-18 Peter Schrammel

When Model Predictive Control (MPC) is used in real-time to control linear systems, quadratic programs (QPs) need to be solved within a limited time frame. Recently, several parametric methods have been proposed that certify the number of…

Optimization and Control · Mathematics 2022-11-24 Daniel Arnström , Daniel Axehill

Writing correct programs for weak memory models such as the C11 memory model is challenging because of the weak consistency guarantees these models provide. The first program logics for the verification of such programs have recently been…

Programming Languages · Computer Science 2018-02-20 Alexander J. Summers , Peter Müller

We give a new theoretical solution to a leading-edge experimental challenge, namely to the verification of quantum computations in the regime of high computational complexity. Our results are given in the language of quantum interactive…

Quantum Physics · Physics 2018-06-25 Anne Broadbent

While the use of formal verification techniques is well established in the development of mission-critical software, it is still rare in the production of most other kinds of software. We share our experience that a formal verification tool…

Programming Languages · Computer Science 2020-07-03 Dimitur Nikolaev Krustev

This article describes the development and formal verification (proof of semantic preservation) of a compiler back-end from Cminor (a simple imperative intermediate language) to PowerPC assembly code, using the Coq proof assistant both for…

Logic in Computer Science · Computer Science 2009-11-14 Xavier Leroy

VeriFast is a powerful tool for verification of various correctness properties of C programs using symbolic execution. However, VeriFast itself has not been verified. We present a proof-of-concept extension which generates a correctness…

Logic in Computer Science · Computer Science 2023-08-31 Stefan Wils , Bart Jacobs

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

In this paper, we develop a novel verification technique to reason about programs featuring concurrency, pointers and randomization. While the integration of concurrency and pointers is well studied, little is known about the combination of…

Logic in Computer Science · Computer Science 2024-10-01 Ira Fesefeldt , Joost-Pieter Katoen , Thomas Noll

Creating safe concurrent algorithms is challenging and error-prone. For this reason, a formal verification framework is necessary especially when those concurrent algorithms are used in safety-critical systems. The goal of this guide is to…

Logic in Computer Science · Computer Science 2025-01-24 Elizabeth Dietrich

Concolic testing is a popular software verification technique based on a combination of concrete and symbolic execution. Its main focus is finding bugs and generating test cases with the aim of maximizing code coverage. A previous approach…

Logic in Computer Science · Computer Science 2020-09-23 Fred Mesnard , Etienne Payet , German Vidal

In this paper we present a translation from the quantum programming language Quipper to the QPMC model checker, with the main aim of verifying Quipper programs. Quipper is an embedded functional programming language for quantum computation.…

Logic in Computer Science · Computer Science 2017-08-22 Linda Anticoli , Carla Piazza , Leonardo Taglialegne , Paolo Zuliani

Common programming tools, like compilers, debuggers, and IDEs, crucially rely on the ability to analyse program code to reason about its behaviour and properties. There has been a great deal of work on verifying compilers and static…

Programming Languages · Computer Science 2019-07-15 Jan Stolarek , James Cheney
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