Delegation with updatable unambiguous proofs and ppad-hardness

Yael Tauman Kalai, Omer Paneth, Lisa Yang*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

9 Scopus citations

Abstract

In this work, we construct an updatable and unambiguous delegation scheme based on the decisional assumption on bilinear groups introduced by Kalai, Paneth and Yang [STOC 2019]. Using this delegation scheme, we show PPAD-hardness (and hence the hardness of computing Nash equilibria) based on the quasi-polynomial hardness of this bilinear group assumption and any hard language that is decidable in quasi-polynomial time and polynomial space. The delegation scheme is for super-polynomial time deterministic computations and is publicly verifiable and non-interactive in the common reference string (CRS) model. It is updatable meaning that given a proof for the statement that a Turing machine reaches some configuration C in T steps, it is efficient to update it into a proof for the statement that the machine reaches the next configuration C' in T+1 steps. It is unambiguous meaning that it is hard to find two different proofs for the same statement.

Original languageEnglish
Title of host publicationAdvances in Cryptology - CRYPTO 2020 - 40th Annual International Cryptology Conference, Proceedings
EditorsDaniele Micciancio, Thomas Ristenpart
PublisherSpringer
Pages652-673
Number of pages22
ISBN (Print)9783030568764
DOIs
StatePublished - 2020
Event40th Annual International Cryptology Conference, CRYPTO 2020 - Santa Barbara, United States
Duration: 17 Aug 202021 Aug 2020

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12172 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference40th Annual International Cryptology Conference, CRYPTO 2020
Country/TerritoryUnited States
CitySanta Barbara
Period17/08/2021/08/20

Funding

FundersFunder number
Check Point Institute of Information Security
NSF/BSF1350619
U.S. Army Research Office
National Science FoundationCNS-1413964, CNS-1350619, CNS-1414119, 174530
Army Research OfficeW911NF-15-C-0236, W911NF-15-C-0226
Defense Advanced Research Projects Agency
Microsoft Research
Massachusetts Institute of Technology
Blavatnik Family Foundation
Iowa Science Foundation1789/19
Northeastern University
Tel Aviv University

    Keywords

    • Delegation
    • PPAD-hardness
    • Unambiguous proofs
    • Zero-testable encryption

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