Power of public-key function-private functional encryption

In the public-key setting, known constructions of function-private functional encryption (FPFE) were limited to very restricted classes of functionalities like inner-product. Moreover, its power has not been well investigated. The authors construct FPFE for general functions and explore its powerful applications, both for general and specific functionalities. One key observation entailed by their results is that attribute-based encryption with function privacy implies FE, a notable fact that sheds light on the importance of the function privacy property for FE.