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Explore a comprehensive analysis of self-composable two-party computation in this 21-minute conference talk presented at Eurocrypt 2017. Delve into the intricacies of concurrent security, consecutive security, and XP security as discussed by authors Sanjam Garg, Susumu Kiyoshima, and Omkant Pandey. Gain insights into their motivation, overall approach, and combined results, including the development of a compiler and simulator. Examine the technical aspects and key remarks before concluding with a summary of this significant contribution to cryptographic research.