Graph-Equivalent Certificate Invariance

Statement

For two presentations of the same in the §5 setup, a boundedly invertible graph equivalence preserving retention and decoder carries a Joint Reconstruction Certificate from one presentation to the other. Both determine the same .

Meaning and scope

This is invariance under the declared graph equivalence. An arbitrary algebraic rewriting need not preserve a certificate.

Source

Paper 3, Theorem 6.2. Frozen manuscript — research note, not peer reviewed.