[Resource Topic] 2023/945: One-Way Functions vs. TFNP: Simpler and Improved

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Title:
One-Way Functions vs. TFNP: Simpler and Improved

Authors: Lukáš Folwarczný, Mika Göös, Pavel Hubáček, Gilbert Maystre, Weiqiang Yuan

Abstract:

Simon (1998) proved that it is impossible to construct collision-resistant hash functions from one-way functions using a black-box reduction. It is conjectured more generally that one-way functions do not imply, via a black-box reduction, the hardness of any total NP search problem (collision-resistant hash functions being just one such example). We make progress towards this conjecture by ruling out a large class of “single-query” reductions.

In particular, we improve over the prior work of Hubáček et al. (2020) in two ways: our result is established via a novel simpler combinatorial technique and applies to a broader class of semi black-box reductions.

ePrint: https://eprint.iacr.org/2023/945

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