Lucky Read/Write Access to Robust Atomic Storage

This paper establishes tight bounds on the best-case time-complexity of distributed atomic read/write storage implementations that tolerate worst-case conditions. We study asynchronous robust implementations where a writer and a set of reader processes (clients) access an atomic storage implemented over a set of 2t+b+1 server processes of which t can fail: b of these can be malicious and the rest can crash. We define a lucky operation (read or write) as one that runs synchronously and without contention. It is often argued in practice that lucky operations are the most frequent. We determine the exact conditions under which a lucky operation can be fast, namely expedited in onecommunication round-trip with no data authentication. We show that every lucky write (resp., read) can be fast despite fw(resp., fr) actual failures, if and only if fw + fr \lt t-b.