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In applications of distributed storage systems to distributed computing andimplementation of key- value stores, the following property, usually referredto as consistency in computer science and engineering, is an importantrequirement: as the data stored changes, the latest version of the data must beaccessible to a client that connects to the storage system. An informationtheoretic formulation called multi-version coding is introduced in the paper,in order to study storage costs of consistent distributed storage systems.Multi-version coding is characterized by {\nu} totally ordered versions of amessage, and a storage system with n servers. At each server, valuescorresponding to an arbitrary subset of the {\nu} versions are received andencoded. For any subset of c servers in the storage system, the valuecorresponding to the latest common version, or a later version as per the totalordering, among the c servers is required to be decodable. An achievablemulti-version code construction via linear coding and a converse result thatshows that the construction is approximately tight, are provided. Animplication of the converse is that there is an inevitable price, in terms ofstorage cost, to ensure consistency in distributed storage systems.

Multi-Version Coding - An Information Theoretic Perspective of Consistent Distributed Storage