  Such a formulation leaves much to be clarified: reliability is not clearly defined and the requirement that the demon only fail in the infinite time limit seems to allow arbitrarily large violations on any finite time scale we might care about, with probabilities as close to one as we please, provided they do not actually reach one. A common reworking of the modified form, but which is clearly stronger, is that the demon cannot operate a cycle, in finite time, in which the expectation value for work produced is positive, as repetition of such a cycle could produce arbitrarily large amounts of work with probability arbitrarily close to one.