Expected Linear Round Synchronization: The Missing Link for Linear Byzantine SMR

State Machine Replication (SMR) solutions often divide time into rounds, with a designated leader driving decisions in each round. Progress is guaranteed once all correct processes synchronize to the same round, and the leader of that round is correct. Recently suggested Byzantine SMR solutions such as HotStuff, Tendermint, and LibraBFT achieve progress with a linear message complexity and a constant time complexity once such round synchronization occurs. But round synchronization itself incurs an additional cost. By Dolev and Reischuk's lower bound, any deterministic solution must have $\Omega(n^2)$ communication complexity. Yet the question of randomized round synchronization with an expected linear message complexity remained open. We present an algorithm that, for the first time, achieves round synchronization with expected linear message complexity and expected constant latency. Existing protocols can use our round synchronization algorithm to solve Byzantine SMR with the same asymptotic performance

Totally Ordered Broadcast and Multicast Algorithms: A Comprehensive Survey

Total order multicast algorithms constitute an important class of problems in distributed systems, especially in the context of fault-tolerance. In short, the problem of total order multicast consists in sending messages to a set of processes, in such a way that all messages are delivered by all correct destinations in the same order. However, the huge amount of literature on the subject and the plethora of solutions proposed so far make it difficult for practitioners to select a solution adapted to their specific problem. As a result, naive solutions are often used while better solutions are ignored. This paper proposes a classification of total order multicast algorithms based on the ordering mechanism of the algorithms, and describes a set of common characteristics (e.g., assumptions, properties) with which to evaluate them. In this classification, more than fifty total order broadcast and multicast algorithms are surveyed. The presentation includes asynchronous algorithms as well as algorithms based on the more restrictive synchronous model. Fault-tolerance issues are also considered as the paper studies the properties and behavior of the different algorithms with respect to failures

Group communication as a base for a load-balancing replicated data service

Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1998.Includes bibliographical references (p. 109-111).by Roger I. Khazan.M.S

Revisiting the Paxos algorithm

Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1997.Includes bibliographical references (p. 138-142).by Roberto de Prisco.M.S

Agreement-related problems:from semi-passive replication to totally ordered broadcast

Agreement problems constitute a fundamental class of problems in the context of distributed systems. All agreement problems follow a common pattern: all processes must agree on some common decision, the nature of which depends on the specific problem. This dissertation mainly focuses on three important agreements problems: Replication, Total Order Broadcast, and Consensus. Replication is a common means to introduce redundancy in a system, in order to improve its availability. A replicated server is a server that is composed of multiple copies so that, if one copy fails, the other copies can still provide the service. Each copy of the server is called a replica. The replicas must all evolve in manner that is consistent with the other replicas. Hence, updating the replicated server requires that every replica agrees on the set of modifications to carry over. There are two principal replication schemes to ensure this consistency: active replication and passive replication. In Total Order Broadcast, processes broadcast messages to all processes. However, all messages must be delivered in the same order. Also, if one process delivers a message m, then all correct processes must eventually deliver m. The problem of Consensus gives an abstraction to most other agreement problems. All processes initiate a Consensus by proposing a value. Then, all processes must eventually decide the same value v that must be one of the proposed values. These agreement problems are closely related to each other. For instance, Chandra and Toueg [CT96] show that Total Order Broadcast and Consensus are equivalent problems. In addition, Lamport [Lam78] and Schneider [Sch90] show that active replication needs Total Order Broadcast. As a result, active replication is also closely related to the Consensus problem. The first contribution of this dissertation is the definition of the semi-passive replication technique. Semi-passive replication is a passive replication scheme based on a variant of Consensus (called Lazy Consensus and also defined here). From a conceptual point of view, the result is important as it helps to clarify the relation between passive replication and the Consensus problem. In practice, this makes it possible to design systems that react more quickly to failures. The problem of Total Order Broadcast is well-known in the field of distributed systems and algorithms. In fact, there have been already more than fifty algorithms published on the problem so far. Although quite similar, it is difficult to compare these algorithms as they often differ with respect to their actual properties, assumptions, and objectives. The second main contribution of this dissertation is to define five classes of total order broadcast algorithms, and to relate existing algorithms to those classes. The third contribution of this dissertation is to compare the expected performance of the various classes of total order broadcast algorithms. To achieve this goal, we define a set of metrics to predict the performance of distributed algorithms

Deferred-update database replication:theory and algorithms

This thesis is about the design of high-performance fault-tolerant computer systems. More specifically, it focuses on how to develop database systems that behave correctly and with good performance even in the event of failures. Both performance and dependability can be improved by means of the same technique, namely replication. If several database replicas are available, performance can be improved by distributing the load among them. Moreover, if one of the replicas cannot be accessed due to failures, users can still rely on the other ones. However, providing the interface of a single database system out of several replicas is not an easy task since one has to ensure they are always consistent with each other. Allowing replicas to diverge would easily break the illusion of having a single high-performance fault-tolerant database system. Although we would like to have replicas as independent of each other as possible for performance and dependability reasons, we must keep them synchronized if we want to provide a consistent interface to users. In this work, we study how we can balance this trade-off to provide good performance and fault-tolerance without compromising consistency. Our basis is a widely used technique for database replication known as the deferred update technique. In this technique, transactions are initially executed in a single replica. Passive transactions, which do not change the state of the database, can commit locally to the replica they execute. Active transactions, which change the database state, must be synchronized with the transactions running on other replicas. This thesis makes four major contributions. First, we introduce an abstract specification that generalizes the deferred update technique. This specification provides a strong model to prove lower bounds on replication algorithms, design new correct-by-construction protocols tailor-made for specific settings, and prove existing protocols correct more easily, in a standard way. Using this model, we show that the problem of termination of active transactions in deferred-update protocols is highly related to the problem of sequence agreement among a set of processes. In this context, we study the problem of implementing latency-optimal fault-tolerant solutions to sequence agreement and present a novel, highly-dynamic, algorithm that can quickly adapt to system changes in order to preserve its optimal latency. Our algorithm is based on a new agreement problem we introduce that seems to be more suitable to solve problems like sequence agreement than previously used abstractions. Our last two contributions are in the context of specific deferred-update algorithms, where we present two new fault-tolerant protocols derived from our general abstraction. The first algorithm uses no extra assumptions about database replicas. Yet, it has very little overhead associated with the termination of active transactions, propagating only strictly necessary information to replicas. Our second protocol uses strong assumptions about the concurrency control mechanism used by database replicas to reduce even more the latency and the burden associated with transaction termination. These algorithms are good examples of how our general abstraction can be extended to create new protocols and prove them correct

Virtual infrastructure for wireless ad hoc networks

Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2007.Includes bibliographical references (v. 2, p. 585-591) and index.One of the most significant challenges introduced by ad hoc networks is coping with the unpredictable deployment, uncertain reliability, and erratic communication exhibited by emerging wireless networks and devices. The goal of this thesis is to develop a set of algorithms that address these challenges and simplify the design of algorithms for ad hoc networks. In the first part of this thesis, I introduce the idea of virtual infrastructure, an abstraction that provides reliable and predictable components in an unreliable and unpredictable environment. This part assumes reliable communication, focusing primarily on the problems created by unpredictable motion and fault-prone devices. I introduce several types of virtual infrastructure, and present new algorithms based on the replicated-state-machine paradigm to implement these infrastructural components. In the second part of this thesis, I focus on the problem of developing virtual infrastructure for more realistic networks, in particular coping with the problem of unreliable communication. I introduce a new framework for modeling wireless networks based on the ability to detect collisions. I then present a new algorithm for implementing replicated state machines in wireless networks, and show how to use replicated state machines to implement virtual infrastructure even in an environment with unreliable communication.by Seth Gilbert.Ph.D

Efficient Message Ordering in Dynamic Networks

We present an algorithm for totally ordering messages in the face of network partitions and site failures. The algorithm always allows a majority of connected processors in the network to make progress (i.e. to order messages), if they remain connected for sufficiently long, regardless of past failures. Furthermore, our algorithm always allows processors to initiate messages, even when they are not members of a connected majority component in the network. Thus, messages can eventually become totally ordered even if their initiator is never a member of a majority component. The algorithm guarantees that when a majority is connected, each message is ordered within two communication rounds, if no failures occur during these rounds. 1 Introduction Consistent order is a powerful paradigm for the design of fault tolerant applications, e.g. consistent replication [Sch90, Kei94]. We present an efficient algorithm for consistent message ordering in the face of network partitions and site fail..