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In an Information machine system's dynamics gets affected by the attachedinformation reservoir. Second law of thermodynamics can be apparently violatedfor this case. In this article we have derived second law for an informationmachine, when the system is connected to multiple heat baths along with a worksource and a single information reservoir. Here a sequence of bits written on atape is considered as an information reservoir. We find that the bath entropyproduction during a time interval is restricted by the change of Shannonentropy of the composite system (system + information reservoir) during thatinterval. We have also given several examples where this law can be applicableand shown that our bound is tighter.

Second law for an autonomous information machine connected with multiple baths