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Previously, gradual verification has been developed using overapproximating logics such as Hoare logic. We show that the static verification component of gradual verification is also connected to underapproximating logics like incorrectness…

Logic in Computer Science · Computer Science 2024-12-03 Conrad Zimmerman , Jenna DiVincenzo

Weighted automata is a basic tool for specification in quantitative verification, which allows to express quantitative features of analysed systems such as resource consumption. Quantitative specification can be assisted by automata…

Computational Complexity · Computer Science 2024-03-04 Jakub Michaliszyn , Jan Otop

The current verification flow of complex systems uses different engines synergistically: virtual prototyping, formal verification, simulation, emulation and FPGA prototyping. However, none is able to verify a complete architecture.…

Logic in Computer Science · Computer Science 2018-02-12 Tomas Grimm , Djones Lettnin , Michael Hübner

Hybrid automata are a natural framework for modeling and analyzing systems which exhibit a mixed discrete continuous behaviour. However, the standard operational semantics defined over such models implicitly assume perfect knowledge of the…

Systems and Control · Computer Science 2013-08-27 Alberto Casagrande , Tommaso Dreossi , Carla Piazza

Static verification provides strong correctness guarantees for code; however, fully specifying programs for static verification is a complex, burdensome process for users. Gradual verification was introduced to make this process easier by…

Programming Languages · Computer Science 2025-07-21 Priyam Gupta

Runtime monitoring is generally considered a light-weight alternative to formal verification. In safety-critical systems, however, the monitor itself is a critical component. For example, if the monitor is responsible for initiating…

Logic in Computer Science · Computer Science 2021-10-25 Dauer J. C. , Finkbeiner B. , Schirmer S

Quantitative analysis of computing systems is an emerging area in automated formal analysis. Such properties address aspects such as costs and rewards, quality measures, resource consumption, distance metrics, etc. Existing solutions for…

Formal Languages and Automata Theory · Computer Science 2020-10-06 Suguman Bansal

Interactive proof assistants are computer programs carefully constructed to check a human-designed proof of a mathematical claim with high confidence in the implementation. However, this only validates truth of a formal claim, which may…

Programming Languages · Computer Science 2023-10-09 Colin S. Gordon , Sergey Matskevich

Verifying the functional correctness of programs with both classical and quantum constructs is a challenging task. The presence of probabilistic behaviour entailed by quantum measurements and unbounded while loops complicate the…

Programming Languages · Computer Science 2025-02-17 Huiling Wu , Yuxin Deng , Ming Xu

System behaviors are traditionally evaluated through binary classifications of correctness, which do not suffice for properties involving quantitative aspects of systems and executions. Quantitative automata offer a more nuanced approach,…

Formal Languages and Automata Theory · Computer Science 2025-06-30 Marek Chalupa , Thomas A. Henzinger , Nicolas Mazzocchi , N. Ege Saraç

Quantum computing can enable a variety of breakthroughs in research and industry in the future. Although some quantum algorithms already exist that show a theoretical speedup compared to the best known classical algorithms, the…

Quantum Physics · Physics 2020-12-14 Marie Salm , Johanna Barzen , Uwe Breitenbücher , Frank Leymann , Benjamin Weder , Karoline Wild

We argue that verification of recursive programs by means of the assertional method of C.A.R. Hoare can be conceptually simplified using a modular reasoning. In this approach some properties of the program are established first and…

Logic in Computer Science · Computer Science 2009-07-27 Krzysztof R. Apt , Frank S. de Boer , Ernst-Rüdiger Olderog

The goal of this lecture is to show how modern theorem provers---in this case, the Coq proof assistant---can be used to mechanize the specification of programming languages and their semantics, and to reason over individual programs and…

Programming Languages · Computer Science 2010-10-28 Xavier Leroy

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

In relational verification, judicious alignment of computational steps facilitates proof of relations between programs using simple relational assertions. Relational Hoare logics (RHL) provide compositional rules that embody various…

Logic in Computer Science · Computer Science 2023-07-21 Anindya Banerjee , Ramana Nagasamudram , David A. Naumann

We present a verifier of quantum programs called AutoQ 2.0. Quantum programs extend quantum circuits (the domain of AutoQ 1.0) by classical control flow constructs, which enable users to describe advanced quantum algorithms in a formal and…

Logic in Computer Science · Computer Science 2026-05-08 Yu-Fang Chen , Kai-Min Chung , Min-Hsiu Hsieh , Wei-Jia Huang , Ondřej Lengál , Jyun-Ao Lin , Wei-Lun Tsai

We explore the possibility of accelerating the formal verification of classical programs with a quantum computer. A common source of security flaws stems from the existence of common programming errors like use after free, null-pointer…

Quantum Physics · Physics 2026-05-06 Sebastian Issel , Kilian Tscharke , Pascal Debus

Analyzing and verifying heap-manipulating programs automatically is challenging. A key for fighting the complexity is to develop compositional methods. For instance, many existing verifiers for heap-manipulating programs require…

Programming Languages · Computer Science 2019-08-28 Long H. Pham , Jun Sun , Quang Loc Le

We describe an embedding of the QWIRE quantum circuit language in the Coq proof assistant. This allows programmers to write quantum circuits using high-level abstractions and to prove properties of those circuits using Coq's theorem proving…

Logic in Computer Science · Computer Science 2018-03-05 Robert Rand , Jennifer Paykin , Steve Zdancewic

We show that verification of object-oriented programs by means of the assertional method can be achieved in a simple way by exploiting a syntax-directed transformation from object-oriented programs to recursive programs. This transformation…

Logic in Computer Science · Computer Science 2011-11-09 Krzysztof R. Apt , Frank S. de Boer , Ernst-Ruediger Olderog , Stijn de Gouw