User blog comment:Ubersketch/Homomorphism between Cantor's normal form of finite degree and primitive sequence system/@comment-35470197-20190809223713/@comment-35470197-20190810125622

As I wrote above, there is a non-trivial map because both are bijective to \(\mathbb{N}\). It does not give an analysis. Moreover, since UNOCF itself is informal, any comparison to UNOCF does not give a formal analysis or a proof of the termination.