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In this paper, the authors propose the notion of Verifiable Attribute-Based Encryption (VABE) and give two constructs of key-policy VABE. One is with a single authority, and the other is with multi authorities. Not only their schemes are proved secure as the previous ABE schemes, they also provide a verification property. This could not be trivially solved, such as trying random decryption. Identity Based Encryption (IBE), introduced by Shamir, is a novel encryption which allows users to use any string as their public key (for example, an ID card number or an email address). Encrypting messages without access to a public key certificate reduces the load of creating and storing certificates.
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