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S0N . We say that the partition state p is consistent if there exists a sequence of operation instances L = α1 , . . 3. FAULT AND TIMING MODEL 29 1. α ∈ Li ⇒ α ∈ L α α m sm 2. s0 ❀1 . . ❀ 3. Every sj ∈ {s0 , . . , sm } is constraint consistent 4. 4 Utility Some of the operations will have to be revoked during the reconciliation. In order to be able to choose which operation to revoke it is useful to have a notion of usefulness. For now we will simply define a notion of utility and assume that it is dictated by the application.

A distributed system with replication has multiple replicas for every object located on different nodes in the network. As long as no failures occur, the existence of replicas has no effect on the functional behaviour of the system. Therefore, the state of the system in the normal mode can be modelled as a set of replicas, one for each object. Definition 3. A replica r for object o = (S, O, T ) is a triple r = (L, s0 , sm ) where the log L = α1 . . αm is a sequence of operation instances defined α over O.

The operation is applied if it results in a constraint-consistent state. As we will show in Sect. 2, there will eventually be a time when ops is empty at which M will enable broadcast(“stop )M . This will tell all continuous servers to stop accepting new invocations. Moreover, the reconciliation manager will set the mode to installingState and wait for all continuous servers to acknowledge the stop message. This is done to guarantee that no messages remain untreated in the reconciliation process.

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