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Related papers: Distributed Verifiers in PCP

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We study algorithms in the distributed message-passing model that produce secured output, for an input graph $G$. Specifically, each vertex computes its part in the output, the entire output is correct, but each vertex cannot discover the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-19 Leonid Barenboim , Harel Levin

Recent progress towards theoretical interpretability guarantees for AI has been made with classifiers that are based on interactive proof systems. A prover selects a certificate from the datapoint and sends it to a verifier who decides the…

Machine Learning · Computer Science 2023-06-08 Stephan Wäldchen

ProofPeer strives to be a system for cloud-based interactive theorem proving. After illustrating why such a system is needed, the paper presents some of the design challenges that ProofPeer needs to meet to succeed. Contexts are presented…

Mathematical Software · Computer Science 2012-01-04 Steven Obua

The distributed inference framework comprises of a group of spatially distributed nodes which acquire observations about a phenomenon of interest. Due to bandwidth and energy constraints, the nodes often quantize their observations into a…

Cryptography and Security · Computer Science 2015-02-20 Bhavya Kailkhura , V. Sriram Siddhardh Nadendla , Pramod K. Varshney

A distributed proof (also known as local certification, or proof-labeling scheme) is a mechanism to certify that the solution to a graph problem is correct. It takes the form of an assignment of labels to the nodes, that can be checked…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-03 Laurent Feuilloley

This paper proposes a new algorithmic framework, predictor-verifier training, to train neural networks that are verifiable, i.e., networks that provably satisfy some desired input-output properties. The key idea is to simultaneously train…

We present efficient and practical algorithms for a large, distributed system of processors to achieve reliable computations in a secure manner. Specifically, we address the problem of computing a general function of several private inputs…

Cryptography and Security · Computer Science 2021-01-29 Donald Rozinak Beaver

Modeling distributed computing in a way enabling the use of formal methods is a challenge that has been approached from different angles, among which two techniques emerged at the turn of the century: protocol complexes, and directed…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-21 Pierre Fraigniaud , Ami Paz

Modern verification tools for deep neural networks (DNNs) increasingly rely on abstraction to scale to realistic architectures. In parallel, proof production is becoming a critical requirement for increasing the reliability of DNN…

Logic in Computer Science · Computer Science 2025-06-12 Yizhak Yisrael Elboher , Omri Isac , Guy Katz , Tobias Ladner , Haoze Wu

Naor, Parter, and Yogev (SODA 2020) have recently demonstrated the existence of a \emph{distributed interactive proof} for planarity (i.e., for certifying that a network is planar), using a sophisticated generic technique for constructing…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-13 Laurent Feuilloley , Pierre Fraigniaud , Ivan Rapaport , Éric Rémila , Pedro Montealegre , Ioan Todinca

In multi-prover interactive proofs (MIPs), the verifier is usually non-adaptive. This stems from an implicit problem which we call ``contamination'' by the verifier. We make explicit the verifier contamination problem, and identify a…

Quantum Physics · Physics 2019-03-19 Claude Crépeau , Nan Yang

While SDNs enable more flexible and adaptive network operations, (logically) centralized reconfigurations introduce overheads and delays, which can limit network reactivity. This paper initiates the study of a more distributed approach, in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-28 Klaus-Tycho Foerster , Stefan Schmid

A proof-labeling scheme (PLS) for a boolean predicate $\Pi$ on labeled graphs is a mechanism used for certifying the legality with respect to $\Pi$ of global network states in a distributed manner. In a PLS, a certificate is assigned to…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-27 Pierre Fraigniaud , Frédéric Mazoit , Pedro Montealegre , Ivan Rapaport , Ioan Todinca

The last decade has sparked several valiant efforts in deductive verification of distributed agreement protocols such as consensus and leader election. Oddly, there have been far fewer verification efforts that go beyond the core protocols…

Programming Languages · Computer Science 2021-09-14 Nouraldin Jaber , Christopher Wagner , Swen Jacobs , Milind Kulkarni , Roopsha Samanta

Distributed computing is fundamental to multi-agent systems, with solving distributed linear equations as a typical example. In this paper, we study distributed solvers for network linear equations over a network with node-to-node…

Systems and Control · Electrical Eng. & Systems 2024-11-18 Lei Wang , Zihao Ren , Deming Yuan , Guodong Shi

Recently, storage of huge volume of data into Cloud has become an effective trend in modern day Computing due to its dynamic nature. After storing, users deletes their original copy of the data files. Therefore users, cannot directly…

Networking and Internet Architecture · Computer Science 2020-04-16 Priodyuti Pradhan

Fault-tolerant distributed algorithms are central for building reliable spatially distributed systems. Unfortunately, the lack of a canonical precise framework for fault-tolerant algorithms is an obstacle for both verification and…

Formal Languages and Automata Theory · Computer Science 2012-10-16 Annu John , Igor Konnov , Ulrich Schmid , Helmut Veith , Josef Widder

In this paper, we consider a network of processors aiming at cooperatively solving mixed-integer convex programs subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2022-07-19 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Francesco Sasso , Roland Bouffanais

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

We extend the notion of distributed decision in the framework of distributed network computing, inspired by recent results on so-called distributed graph automata. We show that, by using distributed decision mechanisms based on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-01 Laurent Feuilloley , Pierre Fraigniaud , Juho Hirvonen