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We apply the foundational proof certificate (FPC) framework to the problem of designing high-level outlines of proofs. The FPC framework provides a means to formally define and check a wide range of proof evidence. A focused proof system is…

Logic in Computer Science · Computer Science 2015-11-16 Roberto Blanco , Dale Miller

While model checking has often been considered as a practical alternative to building formal proofs, we argue here that the theory of sequent calculus proofs can be used to provide an appealing foundation for model checking. Since the…

Logic in Computer Science · Computer Science 2017-01-19 Quentin Heath , Dale Miller

Certifying verification algorithms not only return whether a given property holds or not, but also provide an accompanying independently checkable certificate and a corresponding witness. The certificate can be used to easily validate the…

Logic in Computer Science · Computer Science 2025-01-13 Christel Baier , Calvin Chau , Sascha Klüppelholz

Model checking is an established technique to formally verify automation systems which are required to be trusted. However, for sufficiently complex systems model checking becomes computationally infeasible. On the other hand, testing,…

Software Engineering · Computer Science 2019-07-30 Igor Buzhinsky , Valeriy Vyatkin

Software model checking constitutes an undecidable problem and, as such, even an ideal tool will in some cases fail to give a conclusive answer. In practice, software model checkers fail often and usually do not provide any information on…

Software Engineering · Computer Science 2017-08-21 Rodrigo Castaño , Victor Braberman , Diego Garbervetsky , Sebastian Uchitel

We introduce a technology to formally verify that a software system satisfies a temporal specification of functional correctness, without revealing the system itself. Our method combines a deductive approach to model checking to obtain a…

Cryptography and Security · Computer Science 2026-05-04 Pascal Berrang , Mirco Giacobbe , Jacob Swales , Xiao Yang

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

We introduce a model-checking tool intended specially for the analysis of quantum information protocols. The tool incorporates an efficient representation of a certain class of quantum circuits, namely those expressible in the so-called…

Quantum Physics · Physics 2008-04-21 Simon Gay , Rajagopal Nagarajan , Nikolaos Papanikolaou

Software Model Checkers have shown outstanding performance improvements in recent times. Moreover, for specific use cases, formal verification techniques have shown to be highly effective, leading to a number of high-profile success…

Software Engineering · Computer Science 2017-06-14 Rodrigo Castaño , Victor Braberman , Diego Garbervetsky , Sebastian Uchitel

Model-based mutation testing uses altered test models to derive test cases that are able to reveal whether a modelled fault has been implemented. This requires conformance checking between the original and the mutated model. This paper…

Software Engineering · Computer Science 2012-02-29 Bernhard K. Aichernig , Elisabeth Jöbstl

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

Automatic verification deals with the validation by means of computers of correctness certificates. The related tools, usually called proof assistants or interactive provers, provide an interactive environment for the creation of formal…

Logic in Computer Science · Computer Science 2017-01-16 Andrea Asperti

Formal verification techniques play a pivotal role in ensuring the safety of complex cyber-physical systems. To transfer model-based verification results to the real world, we require that the measurements of the target system lie in the…

Systems and Control · Electrical Eng. & Systems 2025-08-07 Laura Lützow , Matthias Althoff

In this paper we investigate to which extent a very simple and natural "reachability as deducibility" approach, originated in the research in formal methods in security, is applicable to the automated verification of large classes of…

Logic in Computer Science · Computer Science 2010-11-30 Alexei Lisitsa

Multi-objective probabilistic model checking is a powerful technique for verifying stochastic systems against multiple (potentially conflicting) properties. To enhance the trustworthiness and explainability of model checking tools, we…

Logic in Computer Science · Computer Science 2025-08-26 Christel Baier , Calvin Chau , Volodymyr Drobitko , Simon Jantsch , Sascha Klüppelholz

Since the topic emerged several years ago, work on regular model checking has mostly been devoted to the verification of state reachability and safety properties. Though it was known that linear temporal properties could also be checked…

Logic in Computer Science · Computer Science 2009-01-27 Ahmed Bouajjani , Axel Legay , Pierre Wolper

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

Proof-labeling schemes are known mechanisms providing nodes of networks with certificates that can be verified locally by distributed algorithms. Given a boolean predicate on network states, such schemes enable to check whether the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-26 Laurent Feuilloley , Pierre Fraigniaud

We present a novel technique for online safety verification of autonomous systems, which performs reachability analysis efficiently for both bounded and unbounded horizons by employing neural barrier certificates. Our approach uses barrier…

Systems and Control · Electrical Eng. & Systems 2024-04-30 Alessandro Abate , Sergiy Bogomolov , Alec Edwards , Kostiantyn Potomkin , Sadegh Soudjani , Paolo Zuliani

Regular model checking is a well-established technique for the verification of regular transition systems (RTS): transition systems whose initial configurations and transition relation can be effectively encoded as regular languages. In…

Formal Languages and Automata Theory · Computer Science 2025-06-24 Javier Esparza , Valentin Krasotin
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