AGM ⇒ KEA

AGM implies KEA.

Statement

Migrated verbatim from knowledge-of-exponent:

In the AGM, every algorithm must explicitly output the representation of any group element it computes. This is a heuristic model that makes KEA-like extraction implicit: any output group element is accompanied by its algebraic derivation from the inputs.

Notes

source: folklore: the claim carried no citation on the page it was migrated from, and none was invented.

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:

  • No citation (FKL18 missing).
  • makes KEA-like extraction implicit is a modelling statement, not a proved implication.