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This lecture covers a formal security analysis of the Signal Messaging Protocol, focusing on the Signal Protocol, X3DH Protocol, and Double Ratchet Protocol. It discusses security properties, the X3DH exchange process, symmetric and asymmetric ratchets, and the security model. The presentation delves into key concepts such as the Gap Diffie-Hellman Problem, example reductions, and the importance of randomness. The lecture concludes by highlighting the limitations and results of the protocol, emphasizing the challenges in modeling and proving security properties.