%0 Conference Paper %B European Symposium on Research in Computer Security - ESORICS %D 2010 %T A Certifying Compiler for Zero-Knowledge Proofs of Knowledge Based on Sigma-Protocols %A José Bacelar Almeida %A Endre Bangerter %A Manuel Bernardo Barbosa %A Stephan Krenn %A Ahmad Reza Sadeghi %A Thomas Schneider %C Saint Malo, France %P 151-167 %U http://dx.doi.org/10.1007/978-3-642-15497-3_10 %X

Zero-knowledge proofs of knowledge (ZK-PoK) are important building blocks for numerous cryptographic applications. Although ZK-PoK have a high potential impact, their real world deployment is typically hindered by their significant complexity compared to other (non-interactive) crypto primitives. Moreover, their design and implementation are time-consuming and error-prone.
We contribute to overcoming these challenges as follows: We present a comprehensive specification language and a compiler for ZK-PoK protocols based on Σ-protocols. The compiler allows the fully automatic translation of an abstract description of a proof goal into an executable implementation. Moreover, the compiler overcomes various restrictions of previous approaches, e.g., it supports the important class of exponentiation homomorphisms with hidden-order co-domain, needed for privacy-preserving applications such as DAA. Finally, our compiler is certifying, in the sense that it automatically produces a formal proof of the soundness of the compiled protocol for a large class of protocols using the Isabelle/HOL theorem prover.

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