  So far, feedback-driven systems have been discussed using (i) measurement and
control, (ii) a tape interacting with a system or (iii) by identifying an
implicit Maxwell demon in steady state transport. We derive the corresponding
second laws from one master fluctuation theorem and discuss their relationship.
In particular, we show that both the entropy production involving mutual
information between system and controller and the one involving a Shannon
entropy difference of an information reservoir like a tape carry an extra term
different from the usual current times affinity. We thus generalize stochastic
thermodynamics to the presence of an information reservoir.
