Linearizability, the strongest form of consistency, can be very important in large scale data storage systems, although many such systems either do not implement linearizability or do not fully expose serializable operation to the clients. The later type of systems can maintain linearizability for internal operations that occur between servers, but do not provide the same consistency to the clients.
The authors of the paper provide a linearizability framework, called RIFL, suitable for use in existing non-linearizable RPC based distributed system. The framework allows to convert existing RPC into linearizable ones in just a few lines of code with minimal impact on the overall performance. The paper only discusses RPC-based systems, since according to the paper, linearizability requires a request-response protocol to operate. I think it may be possible to sue RIFL-like system for message passing approaches as long as receiving each message eventually produces an ack to the sender.
In order to better understand RIFL and how it is beneficial in the data-store system, we need to talk about Linearizability. According to the paper, Linearizable operations appear to happen instantaneously and only once at same point in the execution of a system. It is important to understand that in a real system an operation can take some time to execute and can potential fail midway through its execution. Linearizable system must make it appear to all its clients as if the operation happened right away. The ability to execute operations only once is another important point, as many existing systems retry execution of operation upon failure. Authors say such operations follow at-least-once semantics, whereas linearizable operations have exactly-once semantics. In order to achieve certain consistency guarantees, many existing systems use idempotent operations which produce the same outcome regardless of how many times such operations have been executed. Authors show an example in which running such operation more than once can break the linearizability after a certain failure.