Retrieve-Compute PIR and Its Applications

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Two-server Private Information Retrieval achieves arbitrarily small polynomial communication, but relies on a strong non-collusion assumption that is difficult to justify in practice. We introduce a new variant of two-server PIR in which one server acts as a standard \emph{compute} server, while the other is a restricted \emph{retrieval-only} server. The latter stores a public encoding of the database and merely serves requested symbols or blocks of this encoding, without performing any