Date: 26 May 2006

Image density is complete for non-interactive-SZK

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We show that the class NISZK of languages that admit non-interactive statistical zero-knowledge proof system has a natural complete promise problem. This characterizes statistical zero-knowledge in the public random string model without reference to the public random string or to zero knowledge.

Building on this result we are able to show structural properties of NISZK such as closure under OR composition and closure under complement.