zero-knowledge interactive proof system

例句：

1. 1. The zero-knowledge interactive proofsystem is a new technology that can provideusers with secure authentication without revealing any personalinformation.
   零知识交互证明系统是一种新技术，它可以为用户提供安全的身份验证，而不透露任何个人信息。
2. 2. In the zero-knowledgeinteractive proof system, each participant has aprivate key and a public key, whichallows them to verify each other'sidentity without revealing their private information.
   在零知识交互证明系统中，每个参与者都有一个私有密钥和一个公钥，这使得他们能够相互验证身份，而无需透露他们的私人信息。
3. 3. The zero-knowledge interactiveproof system has been widely used in variousfields such as finance, healthcare, andgovernment, providing users with more secure andconvenient services.
   零知识交互证明系统已经在金融、医疗和政府等各个领域得到了广泛应用，为用户提供了更安全、更方便的服务。