User blog comment:Ubersketch/CNFlex/@comment-35470197-20190909234708/@comment-34422464-20190910144512

I don't know what you exactly mean by quantifying symbols. Do you mean I should define every usable symbol in this system, or that I should define the lexicographical order. Anyways, I hope my standard form actually works now, there were a few comparison problems relating to the fact that addition was C and exponentiation was B.

Now if we look at the standard representation of 2, we have:

ACACB

A is standard and aC is standard, so AC is standard.

ACACB is standard since AC>=AC and each argument ends in C.

Now we know that ACACB is standard.

ACACBACB looks to be standard, since AC is standard and ends with a C and the ACACB ends with B and ACACB>=AC.