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soundcalc

🚧 WIP right now. Please give us some time. 🚧

🔎 Latest reports live in reports/

A universal soundness calculator across hash-based zkEVM proof systems and security regimes.

It aims to answer questions like:

  • "What if RISC0 moves from Babybear⁴ to Goldilocks³?"
  • "What if OpenVM moves from the Toy Problem heuristic to the provable Johnson Bound Regime?"
  • "What if ZisK moves from the Toy Problem heuristic to the provable Unique Decoding Regime?"

You can run the calculator by doing python3 -m soundcalc. As a result, the calculator generates / updates reports in reports/.

Tests

Tests can be run with pytest.

Supported systems

We currently support the following zkEVMs:

We support the following security regimes (see below for explanation of regimes):

  • Unique Decoding Regime (UDR)
  • Johnson Bound Regime (JBR)

Background on Security Regimes

Consider a fixed set of parameters describing the prover and verifier of a FRI-based zkEVM. To evaluate the concrete soundness level of such a system, we introduce a parameter θ in the range (0, 1).

The soundness level is then determined as a function of θ and the zkEVM parameters (e.g., field size, code rate). Depending on the value of θ, the analysis falls into different regimes:

  • UDR (Unique Decoding Regime): $\theta \leq (1 - \rho)/2$, where $\rho$ is the code rate.
  • JBR (Johnson Bound Regime): $(1 - \rho)/2 < \theta < 1 - \sqrt{\rho}$.

Crucially, θ is not an input to the prover or verifier code—it is only used in the soundness analysis. All regimes therefore apply to the same zkEVM instance without any change.

Incorporation of recent work

A flurry of new results on proximity gaps were published in November 2025 (see Nico's summary).

In soundcalc we have incorporated:

Project Layout

  • soundcalc/main.py: Entry point
  • soundcalc/zkvms/: One directory per supported zkVM
  • soundcalc/proxgaps/: Proximity gaps related functionality
  • soundcalc/pcs/: Polynomial commitment schemes functionality
  • soundcalc/common/: Common utilities used by the entire codebase
  • soundcalc/report.py: Markdown report generator (ugly!)

Related work

Inspiration:

Based on papers (links point to specific versions where possible):

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