Zero-Knowledge Circuit Formal Verification

We formally verify the mathematical soundness of your arithmetic circuits (R1CS/QAP), proving they correctly encode your intended computation without overflows or underflows.

Exhaustive validation of all constraints within your ZK-SNARK or ZK-STARK setup. We ensure constraints are complete, consistent, and free from contradictions that could break soundness.

We prove that for any valid input, the witness generated by your prover algorithm is the unique, correct solution to the constraint system, preventing prover-side bugs.

Formal verification of the core cryptographic properties: Soundness (a false statement cannot be proven) and Completeness (a true statement can always be proven).

Verification extends to gas efficiency on-chain. We mathematically prove the optimality of your circuit's gate count and identify provably correct optimization opportunities.

Formal verification of your circuit's integration with smart contracts and frontends. We model adversarial inputs to prove system resilience against malicious proofs.

We begin by co-developing a formal specification of your circuit's intended behavior using TLA+ or Coq. This creates a single source of truth, eliminating ambiguity and ensuring the implementation matches the design.

Our engineers use tools like Lean 4 or Dafny to construct machine-checkable proofs of your circuit's core properties (e.g., soundness, completeness). This provides the highest level of assurance against logical flaws.

We implement exhaustive property-based testing with frameworks like Halmos (for EVM) and custom Circom/Cairo test harnesses. We generate millions of edge cases to uncover hidden constraints and overflow risks.

We run differential tests against a reference implementation and employ advanced fuzzing to discover vulnerabilities in non-deterministic logic and complex cryptographic primitives.