Paper 2022/1478 Original: eprint.iacr.org/2022/1478 ↗

Limits on revocable proof systems, with applications to stateless blockchains

Miranda Christ
Joseph Bonneau
Abstract

Motivated by the goal of building a cryptocurrency with succinct global state, we introduce the abstract notion of a revocable proof system. We prove an information-theoretic result on the relation between global state size and the required number of local proof updates as statements are revoked (e.g., coins are spent). We apply our result to conclude that there is no useful trade-off point when building a stateless cryptocurrency: the system must either have a linear-sized global state (in the number of accounts in the system) or require a near-linear rate of local proof updates. The notion of a revocable proof system is quite general and also provides new lower bounds for set commitments, vector commitments and authenticated dictionaries.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2022-10-27: last updated
2022-10-27: published
Short URL
https://ia.cr/2022/1478
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2022/1478,
      author = {Miranda Christ and Joseph Bonneau},
      title = {Limits on revocable proof systems, with applications to stateless blockchains},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/1478},
      year = {2022},
      url = {https://eprint.iacr.org/2022/1478}
}
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