Orbis Specification Language: a type theory for zk-SNARK programming

Morgan Thomas

Paper 2022/1003

Orbis Specification Language: a type theory for zk-SNARK programming

Morgan Thomas, Orbis Labs

Abstract

Orbis Specification Language (OSL) is a language for writing statements to be proven by zk-SNARKs. zk-SNARK theories allow for proving wide classes of statements. They usually require the statement to be proven to be expressed as a constraint system, called an arithmetic circuit, which can take various forms depending on the theory. It is difficult to express complex statements in the form of arithmetic circuits. OSL is a language of statements which is similar to type theories used in proof engineering, such as Agda and Coq. OSL has a feature set which is sufficiently limited to make it feasible to compile a statement expressed in OSL to an arithmetic circuit which expresses the same statement. This work builds on Σ¹₁ arithmetization [5] in Halo 2 [3, 4], by defining a frontend for a user-friendly circuit compiler.

Metadata

Available format(s): PDF
Category: Applications
Publication info: Preprint.
Keywords: arithmetization Halo 2 PLONK second order logic type theory
Contact author(s): team @ orbislabs com
History: 2022-08-10: revised; 2022-08-04: received; See all versions
Short URL: https://ia.cr/2022/1003
License: CC BY

BibTeX

@misc{cryptoeprint:2022/1003,
      author = {Morgan Thomas},
      title = {Orbis Specification Language: a type theory for zk-SNARK programming},
      howpublished = {Cryptology ePrint Archive, Paper 2022/1003},
      year = {2022},
      note = {\url{https://eprint.iacr.org/2022/1003}},
      url = {https://eprint.iacr.org/2022/1003}
}