Cross-chain bridges, the arteries of the Web3 ecosys-tem, are hemorrhaging capital, with billions lost to exploits. Current security paradigms are trapped in a critical trade-off: pre-deployment static analysis lacks runtime context and suffers from high false-positives, while real-time dynamic monitoring is blind to the underlying source-code vulnerabilities that enable sophisticated attacks. This paper introduces VeriBridge, a novel framework that breaks this impasse.