This paper aims at studying privacy-preserving tests for proximity. In a
private proximity test
, Alice can verify if she is close to Bob without either party revealing any other information about their location. We propose a system for private proximity testing based on the pre-distribution of data: the so-called
. Our system is proven secure in the
(UC) framework and uses as the core building block an efficient UC-secure equality testing protocol. To our knowledge this is the first work in the literature that contemplates this problem in the UC framework.
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