Certificate Synthesis

Certificate synthesis focuses on automatically generating mathematical proofs (certificates) to verify properties of systems, ranging from dynamical models and control systems to machine learning models and data distributions. Current research emphasizes developing efficient algorithms, often leveraging techniques like sum-of-squares programming, neural networks, and counterexample-guided inductive synthesis, to create these certificates for diverse applications. This field is crucial for enhancing the reliability and safety of complex systems, providing formal guarantees for their behavior and robustness, and enabling the development of trustworthy AI. The resulting certificates offer verifiable assurances, improving confidence in the correctness and security of various technologies.