TARDIS: A Foundation of Time-Lock Puzzles in UC

Carsten Baum, Bernardo David, Rafael Dowsley, Jesper Buus Nielsen, Sabine Oechsner

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

12 Scopus citations

Abstract

Time-based primitives like time-lock puzzles (TLP) are finding widespread use in practical protocols, partially due to the surge of interest in the blockchain space where TLPs and related primitives are perceived to solve many problems. Unfortunately, the security claims are often shaky or plainly wrong since these primitives are used under composition. One reason is that TLPs are inherently not UC secure and time is tricky to model and use in the UC model. On the other hand, just specifying standalone notions of the intended task, left alone correctly using standalone notions like non-malleable TLPs only, might be hard or impossible for the given task. And even when possible a standalone secure primitive is harder to apply securely in practice afterwards as its behavior under composition is unclear. The ideal solution would be a model of TLPs in the UC framework to allow simple modular proofs. In this paper we provide a foundation for proving composable security of practical protocols using time-lock puzzles and related timed primitives in the UC model. We construct UC-secure TLPs based on random oracles and show that using random oracles is necessary. In order to prove security, we provide a simple and abstract way to reason about time in UC protocols. Finally, we demonstrate the usefulness of this foundation by constructing applications that are interesting in their own right, such as UC-secure two-party computation with output-independent abort.

Original languageEnglish
Title of host publicationAdvances in Cryptology – EUROCRYPT 2021 - 40th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings
EditorsAnne Canteaut, François-Xavier Standaert
PublisherSpringer Science and Business Media Deutschland GmbH
Pages429-459
Number of pages31
ISBN (Print)9783030778828
DOIs
StatePublished - 2021
Externally publishedYes
Event40th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2021 - Zagreb, Croatia
Duration: 17 Oct 202121 Oct 2021

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12698 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference40th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2021
Country/TerritoryCroatia
CityZagreb
Period17/10/2121/10/21

Bibliographical note

Publisher Copyright:
© 2021, International Association for Cryptologic Research.

Funding

C. Baum—This work was funded by the European Research Council (ERC) under the European Unions’ Horizon 2020 research and innovation programme under grant agreement No. 669255 (MPCPRO). B. David—This work was supported by the Concordium Foundation, by Protocol Labs grant S2LEDGE and by the Independent Research Fund Denmark with grants number 9040-00399B (TrA2C) and number 9131-00075B (PUMA). R. Dowsley—This work was partially done while Rafael Dowsley was with Bar-Ilan University and was supported by the BIU Center for Research in Applied Cryptography and Cyber Security in conjunction with the Israel National Cyber Bureau in the Prime Minister’s Office. J. B. Nielsen—Partially funded by The Concordium Foundation; The Danish Independent Research Council under Grant-ID DFF-8021-00366B (BETHE); The Carlsberg Foundation under the Semper Ardens Research Project CF18-112 (BCM). S. Oechsner—Supported by the Danish Independent Research Council under Grant-ID DFF-8021-00366B (BETHE).

FundersFunder number
Concordium Foundation
Danish Independent Research CouncilDFF-8021-00366B
European Unions’ Horizon 2020 research and innovation programme669255
European Commission
CarlsbergfondetCF18-112
Danmarks Frie Forskningsfond9040-00399B, 9131-00075B

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