We describe a process algebraic approach to the semantics of replicate
d systems. We extend a subset of CCS with a replication operator to mo
del systems with replicated synchronous majority voting. Based on an o
perational semantics, we define a bisimulation semantics. As the bisim
ulation semantics does not characterise fault tolerance we define preo
rders, which introduces a hierarchy of faulty processes and fault-tole
rant processes. We then show how a similar ordering on modal-mu formul
ae can characterise the fault preorders.