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Electronic data interchange (EDI) is widely-used technology for the automated exchange of logistics information between dissimilar applications. Currently, the focus of the development of EDI systems is composed of the secure interchange the information transaction contained within the different business processes. We propose a formal framework the Maude, a rewriting logic based methodology in which formal modeling and analysis can be used from the earliest phases of system design to uncover many errors and inconsistencies, and to reach high assurance for critical components. The paper illustrate how Maude can be used for this kind of formal specification and analysis of secure EDI system whose correct behavior from a given initial state is formally analyzed using the proposed methods.