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Global protocol specifications are the starting point of top-down verification methodologies, and serve as a blueprint for synthesizing local specifications that guarantee the correctness of distributed implementations. In this work, we…

Formal Languages and Automata Theory · Computer Science 2026-02-11 Elaine Li , Felix Stutz

The set consensus problem has played an important role in the study of distributed systems for over two decades. Indeed, the search for lower bounds and impossibility results for this problem spawned the topological approach to distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-25 Armando Castañeda , Yannai A. Gonczarowski , Yoram Moses

Fully Probabilistic design (FPD) is a powerful framework offering an elegant and unifying account of stochastic control, learning and decision-making. Here we introduce a generalized FPD framework, which we term as Tsallis FPD. Tsallis FPD…

Optimization and Control · Mathematics 2026-05-18 Vyacheslav Kungurtsev , Giovanni Russo

A population protocol describes a set of state change rules for a population of $n$ indistinguishable finite-state agents (automata), undergoing random pairwise interactions. Within this very basic framework, it is possible to resolve a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-19 Adrian Kosowski , Przemysław Uznański

Recently, the blockchain technique was put in the spotlight as it introduced a systematic approach for multiple parties to reach consensus without needing trust. However, the application of this technique in practice is severely restricted…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-17 Zhijie Ren , Kelong Cong , Johan Pouwelse , Zekeriya Erkin

The foundational impossibility results of distributed computing -- the Fischer-Lynch-Paterson theorem, the Two Generals Problem, the CAP theorem -- are widely understood as discoveries about the physical limits of coordination. This paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-24 Paul Borrill

Availability is crucial to the security of distributed systems, but guaranteeing availability is hard, especially when participants in the system may act maliciously. Quorum replication protocols provide both integrity and availability:…

Programming Languages · Computer Science 2022-05-10 Priyanka Mondal , Maximilian Algehed , Owen Arden

This paper presents how to make use of the advantage of round-off error effect in some research areas. The float-point operation complies with the reproduce theorem without the external random perturbation. The computation uncertainty…

Cryptography and Security · Computer Science 2007-11-26 P. F. Wang , J. P. Li

Paxos is an important algorithm for a set of distributed processes to agree on a single value or a sequence of values, for which it is called Basic Paxos or Multi-Paxos, respectively. Consensus is critical when distributed services are…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-25 Saksham Chand , Yanhong A. Liu , Scott D. Stoller

Classical and contemporary distributed consensus protocols, may they be for binary agreement, state machine replication, or blockchain consensus, require all protocol participants in a peer-to-peer system to agree on exactly the same…

Cryptography and Security · Computer Science 2022-05-03 Aditya Ahuja

Consider a randomized algorithm that draws samples exactly from a distribution using recursion. Such an algorithm is called a perfect simulation, and here a variety of methods for building this type of algorithm are shown to derive from the…

Data Structures and Algorithms · Computer Science 2019-07-17 Mark Huber

This paper presents a novel leaderless protocol (FPC-BI: Fast Probabilistic Consensus within Byzantine Infrastructures) with a low communicational complexity and which allows a set of nodes to come to a consensus on a value of a single bit.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-15 Serguei Popov , William J Buchanan

We propose a new distributed-computing model, inspired by permissionless distributed systems such as Bitcoin and Ethereum, that allows studying permissionless consensus in a mathematically regular setting. Like in the sleepy model of Pass…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-10 Giuliano Losa , Eli Gafni

Writing formal specifications for distributed systems is difficult. Even simple consistency requirements often turn out to be unrealizable because of the complicated information flow in the distributed system: not all information is…

Logic in Computer Science · Computer Science 2017-01-11 Bernd Finkbeiner , Leander Tentrup

We provide a complete characterization of both uniform and non-uniform deterministic consensus solvability in distributed systems with benign process and communication faults using point-set topology. More specifically, we non-trivially…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-22 Thomas Nowak , Ulrich Schmid , Kyrill Winkler

Most current blockchains require all full nodes to execute all tasks limits the throughput of existing blockchains, which are well documented and among the most significant hurdles for the widespread adoption of decentralized technology.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-19 Alexander Hentschel , Yahya Hassanzadeh-Nazarabadi , Ramtin Seraj , Dieter Shirley , Layne Lafrance

Deterministic execution offers many benefits for debugging, fault tolerance, and security. Running parallel programs deterministically is usually difficult and costly, however - especially if we desire system-enforced determinism, ensuring…

Operating Systems · Computer Science 2010-05-20 Amittai Aviram , Shu-Chun Weng , Sen Hu , Bryan Ford

Banach's fixed point theorem for contraction maps has been widely used to analyze the convergence of iterative methods in non-convex problems. It is a common experience, however, that iterative maps fail to be globally contracting under the…

Computational Complexity · Computer Science 2018-02-15 Constantinos Daskalakis , Christos Tzamos , Manolis Zampetakis

The celebrated \emph{asynchronous computability theorem} provides a characterization of the class of decision tasks that can be solved in a wait-free manner by asynchronous processes that communicate by writing and taking atomic snapshots…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-18 Fernando Benavides , Sergio Rajsbaum

This paper presents PFLP, a library for probabilistic programming in the functional logic programming language Curry. It demonstrates how the concepts of a functional logic programming language support the implementation of a library for…

Programming Languages · Computer Science 2019-05-20 Sandra Dylus , Jan Christiansen , Finn Teegen