Formal Verification & Mathematical Security Proofs

Overview

Zellic offers advanced formal verification services that provide mathematical certainty about code correctness and security properties. Their team includes researchers who have published peer-reviewed papers and specialists with deep academic and industry expertise in formal methods, SMT solvers, symbolic execution, and proof assistants. These techniques provide the highest level of assurance beyond thorough manual security reviews.

Formal Methods Capabilities

SMT-Based Verification: Leveraging Z3 and CVC5 SMT solvers to formally prove security properties and protocol invariants. Notable achievement includes formally proving the security of WETH (Wrapped Ether), the world's most relied-upon smart contract, providing mathematical certainty of its correctness.

Move Prover Integration: Extensive use of the Move Prover to mathematically guarantee protocol invariants in Move-based applications. Zellic has successfully employed the Move Prover with clients including Pontem, Laminar Markets, and PancakeSwap, ensuring that critical safety properties hold under all possible execution paths.

Proof Assistants: Expertise in interactive theorem proving using Lean and Coq to construct machine-verified proofs of protocol security properties. This approach is particularly valuable for high-assurance systems where mathematical certainty is required.

Symbolic Execution: Advanced symbolic analysis to explore all possible execution paths and identify edge cases that could violate security invariants. Combined with LLVM-based program analysis for deep insights into compiled code behavior.

Property-Based Testing & Fuzzing

Comprehensive Fuzzing: State-of-the-art fuzzing capabilities to discover deep vulnerabilities through property-based testing. Zellic's fuzzing expertise includes uncovering critical bugs in projects like Tristero and conducting comprehensive fuzzing of Mysten Labs' Move VM to ensure runtime safety.

Invariant Verification: Automated testing that explores vast input spaces to verify that critical protocol invariants hold under all conditions. This approach discovers edge cases that manual review might miss while providing high confidence in system robustness.

Virtual Machine Fuzzing: Specialized expertise in fuzzing blockchain VMs and runtime environments to identify consensus-breaking bugs and safety violations at the protocol level.

Zero-Knowledge Formal Analysis

Zellic operates a dedicated zero-knowledge security team that applies formal methods to ZK circuits. Their cryptographers are experts at:

• Identifying underconstrained circuits that could allow invalid proofs
• Analyzing algebraic attacks on hash functions used in ZK systems
• Verifying constraint system completeness in Circom and Halo2 implementations
• Mathematical analysis of SNARK and STARK security assumptions
• Formal verification of ZK circuit correctness properties

Their ZK formal verification work covers zkEVMs (Scroll), zero-knowledge coprocessors (Axiom), privacy primitives (Nocturne), and zk-bridges (Polyhedra).

Practical Impact

Zellic's formal verification combines theoretical rigor with practical security outcomes. By mathematically proving that code meets its specification, they provide the highest level of assurance for critical components managing high-value assets. Their work demonstrates that formal methods are not just academic exercises but essential tools for securing production Web3 systems where correctness must be guaranteed, not just tested.