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The topological framework of circuit topology has recently been introduced to complement knot theory and to help in understanding the physics of molecular folding. Naturally evolved linear molecular chains, such as proteins and nucleic…

Geometric Topology · Mathematics 2021-09-07 Alireza Mashaghi , Roland van der Veen

Several distributed system paradigms utilize Distributed Hash Tables (DHTs) to realize structured peer-to-peer (P2P) overlays. DHT structures arise as the most commonly used organizations for peers that can efficiently perform crucial…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-23 Yahya Hassanzadeh-Nazarabadi , Sanaz Taheri-Boshrooyeh , Safa Otoum , Seyhan Ucar , Öznur Özkasap

Invariant inference algorithms such as interpolation-based inference and IC3/PDR show that it is feasible, in practice, to find inductive invariants for many interesting systems, but non-trivial upper bounds on the computational complexity…

Programming Languages · Computer Science 2022-08-17 Yotam M. Y. Feldman , Sharon Shoham

How does one verify that the output of a complicated program is correct? One can formally prove that the program is correct, but this may be beyond the power of existing methods. Alternatively one can check that the output produced for a…

Data Structures and Algorithms · Computer Science 2013-03-08 Loukas Georgiadis , Robert E. Tarjan

This paper presents the mechanization of a process algebra for Mobile Ad hoc Networks and Wireless Mesh Networks, and the development of a compositional framework for proving invariant properties. Mechanizing the core process algebra in…

Logic in Computer Science · Computer Science 2014-07-15 Timothy Bourke , Robert J. van Glabbeek , Peter Höfner

Recent work has made great progress in verifying the forwarding correctness of networks . However, these approaches cannot be used to verify networks containing middleboxes, such as caches and firewalls, whose forwarding behavior depends on…

Networking and Internet Architecture · Computer Science 2016-07-05 Aurojit Panda , Ori Lahav , Katerina Argyraki , Mooly Sagiv , Scott Shenker

Distributed Hash Tables (DHTs) are pivotal in numerous high-impact key-value applications built on distributed networked systems, offering a decentralized architecture that avoids single points of failure and improves data availability.…

Networking and Internet Architecture · Computer Science 2025-08-21 Shengze Wang , Yi Liu , Xiaoxue Zhang , Liting Hu , Chen Qian

The problem of error correction in both coherent and noncoherent network coding is considered under an adversarial model. For coherent network coding, where knowledge of the network topology and network code is assumed at the source and…

Information Theory · Computer Science 2019-05-07 Danilo Silva , Frank R. Kschischang

Decentralized control, low-complexity, flexible and efficient communications are the requirements of an architecture that aims to scale blockchains beyond the current state. Such properties are attainable by reducing ledger size and…

Networking and Internet Architecture · Computer Science 2021-09-16 Vishal Sharma , Zengpeng Li , Pawel Szalachowski , Teik Guan Tan , Jianying Zhou

A communication network can be modeled as a directed connected graph with edge weights that characterize performance metrics such as loss and delay. Network tomography aims to infer these edge weights from their pathwise versions measured…

Optimization and Control · Mathematics 2019-08-12 Mahmood Ettehad , Nick Duffield , Gregory Berkolaiko

The breakthrough of achieving fully homomorphic encryption sparked enormous studies on where and how to apply homomorphic encryption schemes so that operations can be performed on encrypted data without the secret key while still obtaining…

Cryptography and Security · Computer Science 2021-06-28 Yang Li

Distributed proofs are mechanisms enabling the nodes of a network to collectivity and efficiently check the correctness of Boolean predicates on the structure of the network, or on data-structures distributed over the nodes (e.g., spanning…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-22 Laurent Feuilloley , Pierre Fraigniaud , Juho Hirvonen , Ami Paz , Mor Perry

We study two problems related to recovering causal graphs from interventional data: (i) $\textit{verification}$, where the task is to check if a purported causal graph is correct, and (ii) $\textit{search}$, where the task is to recover the…

Machine Learning · Computer Science 2022-10-11 Davin Choo , Kirankumar Shiragur , Arnab Bhattacharyya

Orthogonal drawings, i.e., embeddings of graphs into grids, are a classic topic in Graph Drawing. Often the goal is to find a drawing that minimizes the number of bends on the edges. A key ingredient for bend minimization algorithms is the…

Computational Geometry · Computer Science 2019-03-13 Benjamin Niedermann , Ignaz Rutter , Matthias Wolf

Consistent hashing is a technique for distributing data across a network of nodes in a way that minimizes reorganization when nodes join or leave the network. It is extensively applied in modern distributed systems as a fundamental…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-18 Massimo Coluzzi , Amos Brocco , Alessandro Antonucci , Tiziano Leidi

We consider the problem of managing a dynamic heterogeneous storage system in a distributed way so that the amount of data assigned to a host in that system is related to its capacity. Two central problems have to be solved for this: (1)…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-07-26 Sebastian Kniesburges , Andreas Koutsopoulos , Christian Scheideler

A graph $H$ is said to be an induced minor of a graph $G$ if $H$ can be obtained from $G$ by a sequence of vertex deletions and edge contractions. Equivalently, $H$ is an induced minor of $G$ if there exists an induced minor model of $H$ in…

This paper presents a Hoare-style calculus for formal reasoning about reconfiguration programs of distributed systems. Such programs create and delete components and/or interactions (connectors) while the system components change state…

Logic in Computer Science · Computer Science 2022-03-17 Emma Ahrens , Marius Bozga , Radu Iosif , Joost-Pieter Katoen

Infinite-state systems such as distributed protocols are challenging to verify using interactive theorem provers or automatic verification tools. Of these techniques, deductive verification is highly expressive but requires the user to…

Programming Languages · Computer Science 2019-05-21 Yotam M. Y. Feldman , James R. Wilcox , Sharon Shoham , Mooly Sagiv

Distributed Hash Tables (DHTs) such as Chord and Kademlia offer an efficient solution for locating resources in peer-to-peer networks. Unfortunately, malicious nodes along a lookup path can easily subvert such queries. Several systems,…

Networking and Internet Architecture · Computer Science 2014-01-29 Ruj Akavipat , Mahdi N. Al-Ameen , Apu Kapadia , Zahid Rahman , Roman Schlegel , Matthew Wright