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DOI: 10.4230/LIPIcs.ITCS.2022.81
Time-Traveling Simulators Using Blockchains and Their Applications

Authors: Vipul Goyal, Justin Raizes, and Pratik Soni

Published in: LIPIcs, Volume 215, 13th Innovations in Theoretical Computer Science Conference (ITCS 2022)

Abstract
Blockchain technology has the potential of transforming cryptography. We study the problem of round-complexity of zero-knowledge, and more broadly, of secure computation in the blockchain-hybrid model, where all parties can access the blockchain as an oracle. We study zero-knowledge and secure computation through the lens of a new security notion where the simulator is given the ability to "time-travel” or more accurately, to look into the future states of the blockchain and use this information to perform simulation. Such a time-traveling simulator gives a novel security guarantee of the following form: whatever the adversary could have learnt from an interaction, it could have computed on its own shortly into the future (e.g., a few hours from now). We exhibit the power of time-traveling simulators by constructing round-efficient protocols in the blockchain-hybrid model. In particular, we construct: 1) Three-round zero-knowledge (ZK) argument for NP with a polynomial-time black-box time-traveling simulator. 2) Three-round secure two-party computation (2PC) for any functionality with a polynomial-time black-box time-traveling simulator for both parties. In addition to standard cryptographic assumptions, we rely on natural hardness assumptions for Proof-of-Work based blockchains. In comparison, in the plain model, three-round protocols with black-box simulation are impossible, and constructions with non-black-box simulation for ZK require novel cryptographic assumptions while no construction for three-round 2PC is known. Our three-round 2PC result relies on a new, two-round extractable commitment that admits a time-traveling extractor.
Cite as

Vipul Goyal, Justin Raizes, and Pratik Soni. Time-Traveling Simulators Using Blockchains and Their Applications. In 13th Innovations in Theoretical Computer Science Conference (ITCS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 215, pp. 81:1-81:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)

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@InProceedings{goyal_et_al:LIPIcs.ITCS.2022.81,
  author =	{Goyal, Vipul and Raizes, Justin and Soni, Pratik},
  title =	{{Time-Traveling Simulators Using Blockchains and Their Applications}},
  booktitle =	{13th Innovations in Theoretical Computer Science Conference (ITCS 2022)},
  pages =	{81:1--81:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-217-4},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{215},
  editor =	{Braverman, Mark},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2022.81},
  URN =		{urn:nbn:de:0030-drops-156770},
  doi =		{10.4230/LIPIcs.ITCS.2022.81},
  annote =	{Keywords: Cryptography, Zero Knowledge, Secure Two-Party Computation, Blockchain}
}
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