QR ⇒ ZKP

QR implies ZKP.

Statement

Migrated verbatim from zero-knowledge-proof § Other results:

  • ZK proofs were introduced and shown for quadratic residuosity — GMR85

Notes

class: unstated: no citing page says which notion of reduction is meant. Recording a class the wiki does not state would add a claim.

Recorded during migration and not fixed — these are claims about the source text, not changes to it:

  • ‘quadratic residuosity’ here is a LANGUAGE that has a ZK proof, not the hardness ASSUMPTION — but the only wiki node with that name is content/Assumptions/quadratic-residuosity.md, so the edge will be mis-typed as assumption primitive. Flagged as a modelling hazard.
  • The QR language is unlinked in the bullet.
  • This is a historical/attribution bullet more than a relation.