Explore a conference talk from the 2021 ITC Conference that delves into the relationship between private-coin and public-coin interactive proofs. Learn about the challenges in transforming private-coin proofs into public-coin ones while preserving the prover's efficiency. Discover the main theorem presenting sufficient properties for efficient transformations and its implications for doubly-efficient interactive proofs. Examine the impact of one-way functions on these transformations and investigate general conditions allowing for efficiency-preserving conversions. Gain insights into an application of these findings to transform a private-coin protocol for verifying graph properties into a doubly-efficient public-coin protocol.