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Linear PCP SNARKs in Lean

This is an old repository associated with this paper.

This project didn't fully make the transition to Lean 4 at the time the rest of the ecosystem did. With Claude Fable available again, I've used it to restore the project to a building state.

Here are some next steps that I'd like to accomplish if I have time:

  • Hook up Lean-SMT or another tactic to resolve these membership tests.
    • This will require bumping Lean-SMT to a new toolchain. (Update seems like this happened!)
    • Formulate the Grobner basis problem instances for all of the SNARKs into a standard SMT format for benchmarking purposes.
  • Introduce different models for Type I and Type III groups (Type II as well?) and duplicate SNARKs to prove sound in each model where soundness holds.
  • Add VCVio/ArkLib to deps. Express the SNARKs in the AGM model from those libraries (partial work in arklib-models).

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A formal verification of Linear PCP SNARKs.

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