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How Do You Prove You Know The Answer, Without Revealing The Answer?

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As a teacher you mark you student’s work, but where they give away the answer each time. So can we find a method to prove that a student has finished their coursework, without them telling you the answer. So let’s say we have Peggy the student and Victor the teacher. Victor sets Peggy a problem:

“Prove to me that you know the value of x for x² + 5x…

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Prof Bill Buchanan OBE FRSE
ASecuritySite: When Bob Met Alice

Professor of Cryptography. Serial innovator. Believer in fairness, justice & freedom. Based in Edinburgh. Old World Breaker. New World Creator. Building trust.