A Round-Collapse Theorem for Computationally-Sound Protocols; or, TFNP is Hard (on Average) in Pessiland

IACR Cryptology ePrint Archive, pp. 7542019.

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Abstract:

Consider the following two fundamental open problems in complexity theory: 1) Does a hard-on-average language in NP imply the existence of one-way functions? 2) Does a hard-on-average language in NP imply a hard problem in TFNP (i.e., the class of total NP search problem)? We show that the answer to (at least) one of these questions is ...More

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