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I am having hard time understanding the security proof in Attribute-Based Encryption, especially in Ciphertext-Policy Attribute-Based Encryption.

To do reduction in CP-ABE scheme, how do I check that the security proof is correct or works. For example, there is a CP-ABE scheme in section 3 of Ciphertext-Policy Attribute-Based Encryption: An Expressive, Efficient, and Provably Secure Realization. How can I approach the paper and check whether the security proof of the scheme is correct?

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