This LNCS volume constitutes the proceedings of the Second International Symposium, SAIV 2025, in Zagreb, Croatia, during July 2025.The scope of the topics was broadly categorized into two groups. The first group, formal methods for artificial intelligence, comprised: formal specifications for systems with AI components; formal methods for analyzing systems with AI components; formal synthesis methods of AI components; testing approaches for systems with AI components; statistical approaches for analyzing systems with AI components; and approaches for enhancing the explainability of systems with AI components. The second group, artificial intelligence for formal methods, comprised: AI methods for formal verification; AI methods for formalsynthesis; AI methods for safe control; and AI methods for falsification.
