Arithmetization of Σ¹₁ relations in Halo 2

Morgan Thomas

Paper 2022/777

Arithmetization of Σ¹₁ relations in Halo 2

Morgan Thomas, Orbis Labs

Abstract

Orbis Labs presents a method for compiling (“arithmetizing”) relations, expressed as Σ¹₁ formulas in the language of rings, into Halo 2 arithmetic circuits. This method offers the possibility of creating arithmetic circuits without laborious and error-prone manual circuit design and implementation, by instead expressing the relation to be arithmetized in a concise mathematical notation and generating the circuit based on that expression.

Metadata

Available format(s): PDF
Category: Applications
Publication info: Preprint.
Keywords: PLONK Halo 2 arithmetization logic second order arithmetic
Contact author(s): team @ orbislabs com
History: 2022-08-10: last of 3 revisions; 2022-06-15: received; See all versions
Short URL: https://ia.cr/2022/777
License: CC BY

BibTeX

@misc{cryptoeprint:2022/777,
      author = {Morgan Thomas},
      title = {Arithmetization of Σ¹₁ relations in Halo 2},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/777},
      year = {2022},
      url = {https://eprint.iacr.org/2022/777}
}