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Deep neural networks (DNN) are growing in capability and applicability. Their effectiveness has led to their use in safety critical and autonomous systems, yet there is a dearth of cost-effective methods available for reasoning about the…

Neural and Evolutionary Computing · Computer Science 2019-08-22 David Shriver , Dong Xu , Sebastian Elbaum , Matthew B. Dwyer

Neural certificates have emerged as a powerful tool in cyber-physical systems control, providing witnesses of correctness. These certificates, such as barrier functions, often learned alongside control policies, once verified, serve as…

Symbolic Computation · Computer Science 2025-07-17 Thomas A. Henzinger , Konstantin Kueffner , Emily Yu

State-of-the-art neural network verifiers operate by encoding neural network verification as constraint satisfaction problems. When dealing with standard piecewise-linear activation functions, such as ReLUs, verifiers typically employ…

Logic in Computer Science · Computer Science 2025-12-12 Maya Swisa , Guy Katz

With the increasing integration of neural networks as components in mission-critical systems, there is an increasing need to ensure that they satisfy various safety and liveness requirements. In recent years, numerous sound and complete…

Neural and Evolutionary Computing · Computer Science 2022-08-30 Yizhak Yisrael Elboher , Elazar Cohen , Guy Katz

Most of the existing verification techniques for message-passing programs suppose either that channel endpoints are used in a linear fashion, where at most one thread may send or receive from an endpoint at any given time, or that endpoints…

Programming Languages · Computer Science 2012-12-18 Étienne Lozes , Jules Villard

The objective of neural network (NN) robustness certification is to determine if a NN changes its predictions when mutations are made to its inputs. While most certification research studies pixel-level or a few geometrical-level and…

Cryptography and Security · Computer Science 2023-06-13 Yuanyuan Yuan , Shuai Wang , Zhendong Su

We consider the problem of verifying safety for a pair of identical integrator agents in continuous time with compact set-valued input uncertainties. We encode this verification problem as that of certifying or falsifying the intersection…

Optimization and Control · Mathematics 2022-05-19 Shadi Haddad , Abhishek Halder

Many available formal verification methods have been shown to be instances of a unified Branch-and-Bound (BaB) formulation. We propose a novel machine learning framework that can be used for designing an effective branching strategy as well…

Machine Learning · Computer Science 2021-07-28 Florian Jaeckle , Jingyue Lu , M. Pawan Kumar

Graph and network visualization supports exploration, analysis and communication of relational data arising in many domains: from biological and social networks, to transportation and powergrid systems. With the arrival of AI-based…

With the emergence of cloud computing services, computationally weak devices (Clients) can delegate expensive tasks to more powerful entities (Servers). This raises the question of verifying a result at a lower cost than that of recomputing…

Cryptography and Security · Computer Science 2017-04-11 Jean-Guillaume Dumas , Vincent Zucca

Deep learning has emerged as an effective approach for creating modern software systems, with neural networks often surpassing hand-crafted systems. Unfortunately, neural networks are known to suffer from various safety and security issues.…

Machine Learning · Computer Science 2021-01-19 Guy Amir , Haoze Wu , Clark Barrett , Guy Katz

We study the problem of formal verification of Binarized Neural Networks (BNN), which have recently been proposed as a energy-efficient alternative to traditional learning networks. The verification of BNNs, using the reduction to hardware…

Software Engineering · Computer Science 2018-01-22 Chih-Hong Cheng , Georg Nührenberg , Chung-Hao Huang , Harald Ruess

Code agents and empirical software engineering rely on public code datasets, yet these datasets lack verifiable quality guarantees. Static 'dataset cards' inform, but they are neither auditable nor do they offer statistical guarantees,…

Software Engineering · Computer Science 2025-10-03 Fatou Ndiaye Mbodji , El-hacen Diallo , Jordan Samhi , Kui Liu , Jacques Klein , Tegawendé F. Bissyande

While abstraction is a classic tool of verification to scale it up, it is not used very often for verifying neural networks. However, it can help with the still open task of scaling existing algorithms to state-of-the-art network…

Logic in Computer Science · Computer Science 2020-06-25 Pranav Ashok , Vahid Hashemi , Jan Křetínský , Stefanie Mohr

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

Inference using deep neural networks is often outsourced to the cloud since it is a computationally demanding task. However, this raises a fundamental issue of trust. How can a client be sure that the cloud has performed inference…

Machine Learning · Computer Science 2021-05-14 Zahra Ghodsi , Tianyu Gu , Siddharth Garg

To deflect adversarial attacks, a range of "certified" classifiers have been proposed. In addition to labeling an image, certified classifiers produce (when possible) a certificate guaranteeing that the input image is not an…

Machine Learning · Computer Science 2020-03-20 Amin Ghiasi , Ali Shafahi , Tom Goldstein

Polyhedra form an established abstract domain for inferring runtime properties of programs using abstract interpretation. Computations on them need to be certified for the whole static analysis results to be trusted. In this work, we look…

Programming Languages · Computer Science 2013-04-04 Alexis Fouilhé , David Monniaux , Michaël Périn

Preserving data confidentiality in clouds is a key issue. Secret Sharing, a cryptographic primitive for the distribution of a secret among a group of $n$ participants designed so that only subsets of shareholders of cardinality $0 < t \leq…

Cryptography and Security · Computer Science 2015-09-04 Massimo Cafaro , Piergiuseppe Pellè

In this work we study the cost of local and global proofs on distributed verification. In this setting the nodes of a distributed system are provided with a nondeterministic proof for the correctness of the state of the system, and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-28 Laurent Feuilloley , Juho Hirvonen