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The authors provide the first description of and security model for authenticated key exchange protocols with predicate-based authentication. In addition to the standard goal of session key security, the security model also provides for credential privacy: a participating party learns nothing more about the other party's credentials than whether they satisfy the given predicate. The model also encompasses attribute-based key exchange since it is a special case of predicate-based key exchange. They demonstrate how to realize a secure predicate-based key exchange protocol by combining any secure predicate-based signature scheme with the basic Diffie-Hellman key exchange protocol, providing an efficient and simple solution.
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