zkGolf: AI, Clean and Optimising ZK Circuits with zkSecurity

zkGolf transforms the landscape of Zero-Knowledge (ZK) circuit design by shifting from manual, error-prone coding to AI-assisted optimization backed by formal verification. Using the CLEAN framework—a domain-specific language built on the Lean proof assistant—developers and AI agents can formally prove that highly optimized circuits match their intended specifications. This approach addresses the limitations of traditional CTFs and puzzles, which have become obsolete due to the rapid advancement of large language models. By iteratively refining circuits to minimize constraints while maintaining mathematical correctness, these competitions produce state-of-the-art implementations for primitives like SHA-256 and Bitcoin curve operations. This methodology not only accelerates development but also provides a robust, automated path for auditing complex cryptographic systems, moving the industry toward a future where high-level specifications are automatically compiled into secure, efficient, and verified low-level circuits.