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In these lecture notes (on page 5 under "Some Remarks") it is claimed that the Set Lower Bound Protocol (given there on page 4) can be modified to have perfect completeness. However, while I understand why the original protocol works I do not see how such a modification is possible. Could you please give me a hint?

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    $\begingroup$ It's not necessarily easy. If you're curious, I suggesting searching the literature for the original paper. $\endgroup$ Dec 13 '21 at 20:15

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