Paper 2024/1060

Quirky Interactive Reductions of Knowledge

Joseph Johnston
Abstract

Interactive proofs and arguments of knowledge can be generalized to the concept of interactive reductions of knowledge, where proving knowledge of a witness for one NP language is reduced to proving knowledge of a witness for another NP language. We take this generalization and specialize it to a class of reductions we refer to as `quirky interactive reductions of knowledge' (or QUIRKs). This name reflects our particular design choices within the broad and diverse world of interactive reduction methods. A central design choice is allowing the prover to rewind or regress to any previous reduction and repeat it as many times as desired. We prove completeness and extractability properties for QUIRKs. We also offer tools for constructing extraction algorithms along with several simple examples of usage.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
Keywords
knowledge soundnessreductions of knowledgeproofs of knowledge
Contact author(s)
josephljohnston @ mac com
History
2024-06-30: approved
2024-06-29: received
See all versions
Short URL
https://ia.cr/2024/1060
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2024/1060,
      author = {Joseph Johnston},
      title = {Quirky Interactive Reductions of Knowledge},
      howpublished = {Cryptology ePrint Archive, Paper 2024/1060},
      year = {2024},
      note = {\url{https://eprint.iacr.org/2024/1060}},
      url = {https://eprint.iacr.org/2024/1060}
}
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