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Great progress has been made recently in verifying the correctness of router forwarding tables. However, these approaches do not work for networks containing middleboxes such as caches and firewalls whose forwarding behavior depends on…

Networking and Internet Architecture · Computer Science 2014-09-30 Aurojit Panda , Ori Lahav , Katerina Argyraki , Mooly Sagiv , Scott Shenker

In modern networks, forwarding of packets often depends on the history of previously transmitted traffic. Such networks contain stateful middleboxes, whose forwarding behaviour depends on a mutable internal state. Firewalls and load…

Logic in Computer Science · Computer Science 2021-06-04 Kalev Alpernas , Aurojit Panda , Alexander Rabinovich , Mooly Sagiv , Scott Shenker , Sharon Shoham , Yaron Velner

Validating network paths taken by packets is critical for a secure Internet architecture. Any feasible solution must both enforce packet forwarding along endhost-specified paths and verify whether packets have taken those paths. However,…

Networking and Internet Architecture · Computer Science 2018-04-26 Kai Bu , Yutian Yang , Avery Laird , Jiaqing Luo , Yingjiu Li , Kui Ren

Achieving highly reliable networks is essential for network operators to ensure proper packet delivery in the event of software errors or hardware failures. Networks must ensure reachability and routing correctness, such as subnet isolation…

Networking and Internet Architecture · Computer Science 2022-01-14 Shenshen Chen , Geng Li , Dennis Duan , Kerim Gokarslan , Bin Li , Qiao Xiang , Haitao Yu , Franck Le , Richard Yang , Ying Zhang

We use real-world contact sequences, time-ordered lists of contacts from one person to another, to study how fast information or disease can spread across network of contacts. Specifically we measure the reachability time -- the average…

Other Condensed Matter · Physics 2007-05-23 Petter Holme

In this paper we introduce a new network reachability problem where the goal is to find the most reliable path between two nodes in a network, represented as a directed acyclic graph. Individual edges within this network may fail according…

Data Structures and Algorithms · Computer Science 2012-06-26 Allen Chang , Eyal Amir

The correctness of many algorithms and data structures depends on reachability properties, that is, on the existence of chains of references between objects in the heap. Reasoning about reachability is difficult for two main reasons. First,…

Programming Languages · Computer Science 2019-08-19 Arshavir Ter-Gabrielyan , Alexander J. Summers , Peter Müller

Temporal networks are a class of time-varying networks, which change their topology according to a given time-ordered sequence of static networks (known as subsystems). This paper investigates the reachability and controllability of…

Systems and Control · Electrical Eng. & Systems 2024-05-27 Yuan Zhang , Yuanqing Xia , Long Wang

We investigate the searchability of complex systems in terms of their interconnectedness. Associating searchability with the number and size of branch points along the paths between the nodes, we find that scale-free networks are relatively…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. Rosvall , A. Gronlund , P. Minnhagen , K. Sneppen

Due to network practices such as traffic engineering and multi-homing, the number of routes---also known as IP prefixes---in the global forwarding tables has been increasing significantly in the last decade and continues growing in a super…

Networking and Internet Architecture · Computer Science 2018-10-15 Garegin Grigoryan , Yaoqing Liu , Michael Leczinsky , Jun Li

With the advent of large-scale cloud computing infrastructure, network extension and migration has emerged as a major challenge in the management of modern enterprise networks. Many enterprises are considering extending or relocating their…

Networking and Internet Architecture · Computer Science 2015-03-17 L. Erran Li , M. F. Nowlan , Y. R. Yang

Network reliability measures the probability that a target node is reachable from a source node in an uncertain graph, i.e., a graph where every edge is associated with a probability of existence. In this paper, we investigate the novel and…

Databases · Computer Science 2020-05-26 Xiangyu Ke , Arijit Khan , Mohammad Al Hasan , Rojin Rezvansangsari

Real-time network verification promises to automatically detect violations of network-wide reachability invariants on the data plane. To be useful in practice, these violations need to be detected in the order of milliseconds, without…

Networking and Internet Architecture · Computer Science 2017-03-02 Alex Horn , Ali Kheradmand , Mukul R. Prasad

Verification of deep neural networks has witnessed a recent surge of interest, fueled by success stories in diverse domains and by abreast concerns about safety and security in envisaged applications. Complexity and sheer size of such…

Machine Learning · Computer Science 2020-03-18 Dario Guidotti , Francesco Leofante , Luca Pulina , Armando Tacchella

Intermediate-scale quantum devices are becoming more reliable, and may soon be harnessed to solve useful computational tasks. At the same time, common classical methods used to verify their computational output become intractable due to a…

Quantum Physics · Physics 2023-07-03 Johannes Knörzer , Daniel Malz , J. Ignacio Cirac

In the real world a graph is often fragmented and distributed across different sites. This highlights the need for evaluating queries on distributed graphs. This paper proposes distributed evaluation algorithms for three classes of queries:…

Databases · Computer Science 2012-08-02 Wenfei Fan , Xin Wang , Yinghui Wu

With the advent of reliable positioning technologies and prevalence of location-based services, it is now feasible to accurately study the propagation of items such as infectious viruses, sensitive information pieces, and malwares through a…

Databases · Computer Science 2012-05-31 Houtan Shirani-Mehr , Farnoush Banaei Kashani , Cyrus Shahabi

Although neural networks are widely used, it remains challenging to formally verify the safety and robustness of neural networks in real-world applications. Existing methods are designed to verify the network before deployment, which are…

Machine Learning · Computer Science 2023-02-06 Tianhao Wei , Changliu Liu

We investigate the complexity of the reachability problem for (deep) neural networks: does it compute valid output given some valid input? It was recently claimed that the problem is NP-complete for general neural networks and…

Computational Complexity · Computer Science 2026-04-08 Marco Sälzer , Martin Lange

Modern networks achieve robustness and scalability by maintaining states on their nodes. These nodes are referred to as middleboxes and are essential for network functionality. However, the presence of middleboxes drastically complicates…

Programming Languages · Computer Science 2018-07-05 Kalev Alpernas , Roman Manevich , Aurojit Panda , Mooly Sagiv , Scott Shenker , Sharon Shoham , Yaron Velner
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