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The computation temporal logic (CTL) is introduced to Signed Directed Graph (SDG) and a modeling and verifying method via Symbolic Model Checking is presented. The requirements and constrains of SDG are specified firstly, and the properties related to the fault propagation are extended, then the correctness properties of SDG are defined by CTL. Finally SDG is transferred into the SMV module through an algorithm SDG2SMV and verified automatically by using NuSMV. As a result of comparison, it is shown that the properties of SDG can be verified correctly and effectively.