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.