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This may look like a homework, so I would not present any complete "Ctrl-C Ctrl-V" -style solution. A proof for equality of logarithms was introduced at Chaum, Evertse and van de Graaf paper, "An Improved Protocol for Demonstrating Possession of Discrete Logarithms and Some Generalizations", Eurocrypt 1987. At the core, Prover shows that the same single ...
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