Final answer:
The atomicity property is the responsibility of the recovery subsystem of a DBMS. It ensures that incomplete transactions do not leave the database in an inconsistent state by undoing them in case of system failures.
Step-by-step explanation:
The asking about a particular property for which the recovery subsystem of a Database Management System (DBMS) is responsible. This property is most commonly referred to as the atomicity property, which is one of the four key attributes of transactions in the concept known as ACID (Atomicity, Consistency, Isolation, Durability). The responsibility of the recovery subsystem is to ensure that, in the event of a system failure, any transactions that were partially executed are fully undone, thereby not leaving the database in an inconsistent state. So, when a transaction cannot be completed due to a power failure, crash, or any other issue, this property ensures that the transaction is completely rolled back as if it never occurred, maintaining the integrity of the database.