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Formal verification of complex algorithms is challenging. Verifying their implementations goes beyond the state of the art of current automatic verification tools and usually involves intricate mathematical theorems. Certifying algorithms…

Logic in Computer Science · Computer Science 2013-02-01 Eyad Alkassar , Sascha Böhme , Kurt Mehlhorn , Christine Rizkallah

Cyber-Physical Systems (CPSs) combine software and physical components. These systems are widely applied in society within many domains, including the automotive, aerospace, railway, etc. Testing these systems is extremely challenging,…

Software Engineering · Computer Science 2021-01-15 Aitor Arrieta

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

Cyber-Physical Systems (CPSs) are systems with both physical and software components, for example cars and industrial robots. Since these systems exhibit both discrete and continuous dynamics, they are complex and it is thus difficult to…

Systems and Control · Electrical Eng. & Systems 2019-10-21 Johan Lidén Eddeland , Koen Claessen , Nicholas Smallbone , Zahra Ramezani , Sajed Miremadi , Knut Åkesson

This paper aims to develop a verification method for procedural programs via a transformation into Logically Constrained Term Rewriting Systems (LCTRSs). To this end, we extend transformation methods based on integer TRSs to handle…

Logic in Computer Science · Computer Science 2025-09-01 Carsten Fuhs , Cynthia Kop , Naoki Nishida

Diagnosability is a system theoretical property characterizing whether fault occurrences in a system can always be detected within a finite time. In this paper, we investigate the verification of diagnosability for cyber-physical systems…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Bingzhuo Zhong , Weijie Dong , Xiang Yin , Majid Zamani

Cyber-physical systems (CPS) integrate sensing, computing, communication and actuation capabilities to monitor and control operations in the physical environment. A key requirement of such systems is the need to provide predictable…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-29 Hyoseung Kim

We build on our recent work on formalization of responsibility-sensitive safety (RSS) and present the first formal framework that enables mathematical proofs of the safety of control strategies in intersection scenarios. Intersection…

Robotics · Computer Science 2023-08-15 James Haydon , Martin Bondu , Clovis Eberhart , Jérémy Dubut , Ichiro Hasuo

In the last decades, Cyber-physical Systems (CPSs) have experienced a significant technological evolution and increased connectivity, at the cost of greater exposure to cyber-attacks. Since many CPS are used in safety-critical systems, such…

Cryptography and Security · Computer Science 2025-06-13 Stefano Longari , Alessandro Pozone , Jessica Leoni , Mario Polino , Michele Carminati , Mara Tanelli , Stefano Zanero

Formal verification techniques have been playing an important role in pre-silicon validation processes. One of the most important points considered in performing formal verification is to define good verification scopes; we should define…

Logic in Computer Science · Computer Science 2011-11-09 Yasushi Umezawa , Takeshi Shimizu

During the development and verification of complex airborne systems, a variety of languages and development environments are used for different levels of the system hierarchy. As a result, there may be manual steps to translate requirements…

Software Engineering · Computer Science 2016-04-26 Jing Liu , John D. Backes , Darren Cofer , Andrew Gacek

Over the past decade, machine learning has demonstrated impressive results, often surpassing human capabilities in sensing tasks relevant to autonomous flight. Unlike traditional aerospace software, the parameters of machine learning models…

Machine Learning · Computer Science 2023-10-06 Jean-Guillaume Durand , Arthur Dubois , Robert J. Moss

There are two kinds of higher-order extensions of model checking: HORS model checking and HFL model checking. Whilst the former has been applied to automated verification of higher-order functional programs, applications of the latter have…

Programming Languages · Computer Science 2018-03-01 Naoki Kobayashi , Takeshi Tsukada , Keiichi Watanabe

Both automatic program verification and program transformation are based on program analysis. In the past decade a number of approaches using various automatic general-purpose program transformation techniques (partial deduction,…

Software Engineering · Computer Science 2015-12-15 Alexei P. Lisitsa , Andrei P. Nemytykh

Verification of complex, safety-critical systems is a significant challenge. Manual testing and simulations are often used, but are only capable of exploring a subset of the system's reachable states. Formal methods are mathematically-based…

Software Engineering · Computer Science 2021-10-19 Matt Luckcuck , Marie Farrell , Oisín Sheridan , Rosemary Monahan

Industrial cyber-physical systems are hybrid systems with strict safety requirements. Despite not having a formal semantics, most of these systems are modeled using Stateflow/Simulink for mainly two reasons: (1) it is easier to model, test,…

Logic in Computer Science · Computer Science 2018-06-26 Nima Roohi , Ramneet Kaur , James Weimer , Oleg Sokolsky , Insup Lee

Formal verification techniques aim at formally proving the correctness of a computer program with respect to a formal specification, but the expertise and effort required for applying formal specification and verification techniques and…

Software Engineering · Computer Science 2023-01-10 João Pascoal Faria , Rui Abreu

Formal verification provides strong guarantees of correctness of software, which are especially important in safety or security critical systems. Hoare logic is a widely used formalism for rigorous verification of software against…

Programming Languages · Computer Science 2021-03-11 Jayaraj Poroor

The execution failure of cyber-physical systems (e.g., autonomous driving systems, unmanned aerial systems, and robotic systems) could result in the loss of life, severe injuries, large-scale environmental damage, property destruction, and…

Software correctness is ensured mathematically through formal verification, which involves the resources of generating formal requirement specifications and having an implementation that must be verified. Tools such as model-checkers and…

Software Engineering · Computer Science 2025-08-29 Arshad Beg , Diarmuid O'Donoghue , Rosemary Monahan
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