We introduce a necessary test for the claims about provable fault-tolerance: having proved to tolerate several faults, we must tolerate (provably) any combination of them. One notable failure to pass this test is bisimulation. The paper presents a class of bisimulations which are fault-monotonic and within CCS support compositional design of component specifications by stepwise refinement, each step increasing or at least preserving the current level of fault-tolerance.
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