## CryptoDB

### Paper: A Certifying Compiler for Zero-Knowledge Proofs of Knowledge Based on $\Sigma$-Protocols

Authors: José Bacelar Almeida Manuel Barbosa Endre Bangerter Stephan Krenn Ahmad-Reza Sadeghi Thomas Schneider URL: http://eprint.iacr.org/2010/339 Search ePrint Search Google Zero-knowledge proofs of knowledge (ZK-PoK) are important building blocks for numerous cryptographic applications. Although ZK-PoK have very useful properties, their real world deployment is typically hindered by their significant complexity compared to other (non-interactive) crypto primitives. Moreover, their design and implementation is time-consuming and error-prone. We contribute to overcoming these challenges as follows: We present a comprehensive specification language and a certifying compiler for ZK-PoK protocols based on $\Sigma$-protocols and composition techniques known in literature. 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 idemix. Finally, our compiler is certifying, in the sense that it automatically produces a formal proof of security (soundness) of the compiled protocol (currently covering special homomorphisms) using the Isabelle/HOL theorem prover.
##### BibTeX
@misc{eprint-2010-23240,
title={A Certifying Compiler for Zero-Knowledge Proofs of Knowledge Based on $\Sigma$-Protocols},
booktitle={IACR Eprint archive},
keywords={implementation / Zero-Knowledge, Protocol Compiler, Formal Verification},
url={http://eprint.iacr.org/2010/339},
note={An extended abstract of this work will be presented at ESORICS 2010 stephan.krenn@bfh.ch; thomas.schneider@trust.rub.de 14825 received 10 Jun 2010, last revised 4 Aug 2010},
author={Jos&eacute; Bacelar Almeida and Manuel Barbosa and Endre Bangerter and Stephan Krenn and Ahmad-Reza Sadeghi and Thomas Schneider},
year=2010
}