This LNCS volume constitutes the proceedings of the First International Symposium on AI Verification, SAIV 2024, in Montreal, QC, Canada, during July 2024.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 c...