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The increasing use of deep neural networks for safety-critical applications, such as autonomous driving and flight control, raises concerns about their safety and reliability. Formal verification can address these concerns by guaranteeing…

Artificial Intelligence · Computer Science 2018-02-06 Lindsey Kuper , Guy Katz , Justin Gottschlich , Kyle Julian , Clark Barrett , Mykel Kochenderfer

Formal verification of software is a bit of a niche activity: it is only applied to the most safety-critical or security-critical software and it is typically only performed by specialized verification engineers. This paper considers…

Logic in Computer Science · Computer Science 2020-11-02 Alastair Reid , Luke Church , Shaked Flur , Sarah de Haas , Maritza Johnson , Ben Laurie

A kernel based procedure for correcting experimental data for distortions due to the finite resolution and limited detector acceptance is presented. The unfolding problem is known to be an ill-posed problem that can not be solved without…

Data Analysis, Statistics and Probability · Physics 2012-09-19 N. D. Gagunashvili , M. Schmelling

Program transformation is an appealing technique which allows to improve run-time efficiency, space-consumption and more generally to optimize a given program. Essentially it consists of a sequence of syntactic program manipulations which…

Programming Languages · Computer Science 2008-07-28 Maurizio Gabbrielli , Maria Chiara Meo , Paolo Tacchella

We present exact mixed-integer linear programming formulations for verifying the performance of first-order methods for parametric quadratic optimization. We formulate the verification problem as a mixed-integer linear program where the…

Optimization and Control · Mathematics 2026-05-29 Vinit Ranjan , Jisun Park , Stefano Gualandi , Andrea Lodi , Bartolomeo Stellato

This paper surveys recent work on applying analysis and transformation techniques that originate in the field of constraint logic programming (CLP) to the problem of verifying software systems. We present specialisation-based techniques for…

Logic in Computer Science · Computer Science 2021-08-03 Emanuele De Angelis , Fabio Fioravanti , John P. Gallagher , Manuel V. Hermenegildo , Alberto Pettorossi , Maurizio Proietti

To provide safety guarantees for learning-based control systems, recent work has developed formal verification methods to apply after training ends. However, if the trained policy does not meet the specifications, or there is conservatism…

Systems and Control · Electrical Eng. & Systems 2025-04-24 Puja Chaudhury , Alexander Estornell , Michael Everett

UCLID5 is a tool for the multi-modal formal modeling, verification, and synthesis of systems. It enables one to tackle verification problems for heterogeneous systems such as combinations of hardware and software, or those that have…

Markov decision processes model systems subject to nondeterministic and probabilistic uncertainty. A plethora of verification techniques addresses variations of reachability properties, such as: Is there a scheduler resolving the…

Logic in Computer Science · Computer Science 2025-05-26 Lina Gerlach , Tobias Winkler , Erika Ábrahám , Borzoo Bonakdarpour , Sebastian Junges

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

The decidability of the reachability problem for finitary PCF has been used as a theoretical basis for fully automated verification tools for functional programs. The reachability problem, however, often becomes undecidable for a slight…

Logic in Computer Science · Computer Science 2025-02-11 Naoki Kobayashi

Despite the tremendous advances that have been made in the last decade on developing useful machine-learning applications, their wider adoption has been hindered by the lack of strong assurance guarantees that can be made about their…

Machine Learning · Computer Science 2019-07-18 He Zhu , Zikang Xiong , Stephen Magill , Suresh Jagannathan

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

Model checkers use automated state exploration in order to prove various properties such as reachability, non-reachability, and bisimulation over state transition systems. While model checkers have proved valuable for locating errors in…

Logic in Computer Science · Computer Science 2015-08-03 Quentin Heath , Dale Miller

We consider the verification of parameterized networks of replicated processes whose architecture is described by hyperedge-replacement graph grammars. Due to the undecidability of verification problems such as reachability or coverability…

Formal Languages and Automata Theory · Computer Science 2025-02-24 Marius Bozga , Radu Iosif , Arnaud Sangnier , Neven Villani

The technology of formal software verification has made spectacular advances, but how much does it actually benefit the development of practical software? Considerable disagreement remains about the practicality of building systems with…

Software Engineering · Computer Science 2026-01-21 Li Huang , Sophie Ebersold , Alexander Kogtenkov , Bertrand Meyer , Yinling Liu

This paper describes our work on demonstrating verification technologies on a flight-critical system of realistic functionality, size, and complexity. Our work targeted a commercial aircraft control system named Transport Class Model (TCM),…

Software Engineering · Computer Science 2015-02-10 Guillaume Brat , David Bushnell , Misty Davies , Dimitra Giannakopoulou , Falk Howar , Temesghen Kahsai

Reachability analysis is a formal method to guarantee safety of dynamical systems under the influence of uncertainties. A substantial bottleneck of all reachability algorithms is the necessity to adequately tune specific algorithm…

Numerical Analysis · Mathematics 2024-02-23 Mark Wetzlinger , Niklas Kochdumper , Stanley Bak , Matthias Althoff

Counterexamples explain why a desired temporal logic property fails to hold. The generation of counterexamples is considered to be one of the primary advantages of model checking as a verification technique. Furthermore, when model checking…

Software Engineering · Computer Science 2016-07-11 G. W. Hamilton

In this paper, we develop a method for computing controlled invariant sets using Semidefinite Programming. We apply our method to the controller design problem for switching affine systems with polytopic safe sets. The task is reduced to a…

Optimization and Control · Mathematics 2018-02-20 Benoît Legat , Paulo Tabuada , Raphaël M. Jungers