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  • $\begingroup$ Adding comments to reflect my understanding, so I do not make the post a moving target. Now I see that the algorithm is basically using two Schnorr signatures in paralell, and for me the math adds up, and also it seems that simplifying the proof environment is okay. But I am just starting to understand it, so I need confirmation. $\endgroup$ Commented May 20 at 20:46
  • $\begingroup$ ... but if it is Schnorr signature, then s should be mod q, not mod p! $\endgroup$ Commented May 20 at 20:49