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Two-party Private Set Intersection with an Untrusted Third Party

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Figure

Figure 1:F⟨
Figure 2:Π⟨
Figure 4:The protocol to compute a lower bound on the union of the two input sets.
Figure 8: We give four protocols in this box: two for computing PSI cardinality, and and two for computing arbitraryf on the payloads of the intersecting items.The difference in the protocol variants (in either computation) lies onlyin how P1 and P2 verify the upper-bound on the union size: using Boolean comparisons to verify a strict ordering,or through polynomial interpolation.
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