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From a cryptographic aspect zero-knowledge protocols for graph isomorphisms, graph non-isomorphisms, and graph-coloring are artificial problems, that received lots of attention. Due to recent work in network security in a broadcast setting, it seems important to design efficient zero-knowledge protocols for the following graph problems: independent set problem, neighbor independent set problem, and...
In this paper we re-examine the nature of zero-knowledge. We show evidences that the classic simulation based definitions of zeroknowledge (simulation zero-knowledge) may be somewhat too strong to include some “nice” protocols in which the malicious verifier seems to learn nothing but we do not know how to construct a zero-knowledge simulator for it. We overcome this problem by introducing reduction...
A new notion of soundness in bare public-key (BPK) model is presented. This new notion just lies in between one-time soundness and sequential soundness and its reasonableness is justified in the context of resettable zero-knowledge when resettable zero-knowledge prover is implemented by smart card.
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