Abstract
Wide-area wireless mobile computing environments present interesting challenges for the problem of file synchronization between laptop computers and servers in backbone networks. Wide-area wireless networks are bandwidth-constrained and expensive, thereby making it difficult to synchronize the files in an eager fashion. The problem of file synchronization for laptop computers has been actively studied for more than a decade, and one of the most intriguing questions has been "how little communication is sufficient for file synchronization?" Technically, this is equivalent to the question: "what is the communication complexity for file synchronization?" This article proves the undecidability of the communication complexity for update propagation in a replicated file system if one is willing to transmit operation-based updates.
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