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The paper researches the typical logic verification methods of security protocols and points out their limitations. Most of them are lack of formal semantics and analysis ability to hybrid cryptography-based primitives. In response on the above-mentioned problems, the paper proposes a new logic verification method, which can analyze most of the known security properties of the e-commerce protocols, such as authentication, secrecy of key, non-repudiation, accountability, fairness and atomicity. The validation of the new logic is verified by analyzing the anonymous e-cash payment protocol and certificated E-mail delivery protocol. The analysis results reveal that the two protocols cannot satisfy the intended security goals.