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This lecture covers Terminating Reliable Broadcast (TRB) and Non-Blocking Atomic Commit (NBAC). TRB is a communication primitive used to disseminate messages reliably among processes, while NBAC focuses on reaching agreement on committing or aborting transactions in a distributed system. The lecture explains the concepts, algorithms, and properties of TRB and NBAC, including integrity, validity, agreement, termination, and consensus. It also discusses the use of failure detectors and consensus algorithms in achieving non-blocking atomic commit. The presentation concludes with a historical overview of atomic commit protocols and their complexities.