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Verification of fault-tolerant distributed protocols is an immensely difficult task. Often, in these protocols, thresholds on set cardinalities are used both in the process code and in its correctness proof, e.g., a process can perform an…

Programming Languages · Computer Science 2019-05-21 Idan Berkovits , Marijana Lazic , Giuliano Losa , Oded Padon , Sharon Shoham

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

Distributed protocols are generally parametric and can be executed on a system with any number of nodes, and hence proving their correctness becomes an infinite state verification problem. The most popular approach for verifying distributed…

Programming Languages · Computer Science 2022-11-29 Shreesha G. Bhat , Kartik Nagar

Lamport's Paxos algorithm is a classic consensus protocol for state machine replication in environments that admit crash failures. Many versions of Paxos exploit the protocol's intrinsic properties for the sake of gaining better run-time…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-19 Álvaro García-Pérez , Alexey Gotsman , Yuri Meshman , Ilya Sergey

Paxos is a widely used and notoriously hard to understand method for solving one type of distributed consensus problem. This note provides a quick explanation of Paxos, a novel proof of correctness that is intended to provide insight into…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-15 Victor Yodaiken

Lamport's celebrated Paxos consensus protocol is generally viewed as a complex hard-to-understand algorithm. Notwithstanding its complexity, in this paper, we take a step towards automatically proving the safety of Paxos by taking advantage…

Logic in Computer Science · Computer Science 2021-10-29 Aman Goel , Karem A. Sakallah

Classical state-machine replication protocols, such as Paxos, rely on a distinguished leader process to order commands. Unfortunately, this approach makes the leader a single point of failure and increases the latency for clients that are…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-05 Fedor Ryabinin , Alexey Gotsman , Pierre Sutra

Due to the emergent adoption of distributed systems when building applications, demand for reliability and availability has increased. These properties can be achieved through replication techniques using middleware algorithms that must be…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-26 Rodrigo R. Barbieri , Gustavo M. D. Vieira

Distributed protocols such as 2PC and Paxos lie at the core of many systems in the cloud, but standard implementations do not scale. New scalable distributed protocols are developed through careful analysis and rewrites, but this process is…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-08 David Chu , Rithvik Panchapakesan , Shadaj Laddad , Lucky Katahanas , Chris Liu , Kaushik Shivakumar , Natacha Crooks , Joseph M. Hellerstein , Heidi Howard

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 Paxos distributed consensus algorithm is a challenging case-study for standard, vector-based model checking techniques. Due to asynchronous communication, exhaustive analysis may generate very large state spaces already for small model…

Logic in Computer Science · Computer Science 2014-07-31 Giorgio Delzanno , Arend Rensink , Riccardo Traverso

Many techniques for the automated verification of distributed protocols have been developed over the past several years, but their performance is still unpredictable and their failure modes can be opaque for industrial scale verification…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-22 William Schultz , Edward Ashton , Heidi Howard , Stavros Tripakis

Consensus protocols are the foundation for building fault-tolerant, distributed systems, and services. They are also widely acknowledged as performance bottlenecks. Several recent systems have proposed accelerating these protocols using the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-28 Huynh Tu Dang , Pietro Bressana , Han Wang , Ki Suh Lee , Noa Zilberman , Hakim Weatherspoon , Marco Canini , Fernando Pedone , Robert Soulé

We develop a theory of decidable inductive invariants for an infinite-state variant of the Applied pi-calculus, with applications to automatic verification of stateful cryptographic protocols with unbounded sessions/nonces. Since the…

Logic in Computer Science · Computer Science 2022-09-22 Emanuele D'Osualdo , Felix Stutz

The problem of reliably certifying the outcome of a computation performed by a quantum device is rapidly gaining relevance. We present two protocols for a classical verifier to verifiably delegate a quantum computation to two…

Quantum Physics · Physics 2020-01-13 Andrea Coladangelo , Alex Grilo , Stacey Jeffery , Thomas Vidick

We present Coalition Logic, a three-valued modal fixed-point logic designed for declaratively specifying and reasoning about distributed algorithms, such as the Paxos consensus algorithm. Our methodology represents a distributed algorithm…

Logic in Computer Science · Computer Science 2025-02-04 Murdoch J. Gabbay , Luca Zanolini

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

Lower bounds and impossibility results in distributed computing are both intellectually challenging and practically important. Hundreds if not thousands of proofs appear in the literature, but surprisingly, the vast majority of them apply…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-13 Guy Goren , Yoram Moses , Alexander Spiegelman

This paper describes the application of a high-level language and method in developing simpler specifications of more complex variants of the Paxos algorithm for distributed consensus. The specifications are for Multi-Paxos with preemption,…

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

First Order Logic (FOL) is a powerful reasoning tool for program verification. Recent work on Ivy shows that FOL is well suited for verification of parameterized distributed systems. However, specifying many natural objects, such as a ring…

Logic in Computer Science · Computer Science 2019-03-11 Rylo Ashmore , Arie Gurfinkel , Richard Trefler
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