Paper 2025/1122 Original: eprint.iacr.org/2025/1122 ↗

Mechanizing Nested Hybrid Arguments

Markus Krabbe Larsen
Carsten Schürmann
Abstract

Hybrid arguments are prevalent in cryptographic security proofs, however, existing mechanizations in proof assistants are not as general as they could be. In this paper, we prove a general theorem about the admissibility of hybrid arguments that encompasses the query-counting, multi-instance, and nested case. We present three case studies about public-key encryption, which demonstrate the generality of the theorem. The results of this paper are achieved in the setting of state-separating proofs and the theory is integrated into and the case studies are mechanized in Nominal-SSProve.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2026-02-19: last updated
2025-06-14: published
Short URL
https://ia.cr/2025/1122
License
https://creativecommons.org/licenses/by-sa/4.0/

BibTeX

@misc{cryptoeprint:2025/1122,
      author = {Markus Krabbe Larsen and Carsten Schürmann},
      title = {Mechanizing Nested Hybrid Arguments},
      howpublished = {Cryptology {ePrint} Archive, Paper 2025/1122},
      year = {2025},
      url = {https://eprint.iacr.org/2025/1122}
}
Note: In order to protect the privacy of readers, this archive does not use cookies or embedded third party content.