User blog comment:Alemagno12/Divine Presence/@comment-30754445-20170201102918/@comment-30754445-20170202120833

I can't understand LHN because I have no idea how to follow the rules. For specifically: I have no idea how rules #3 and #4 work.

Rule #1 is easy.

In Rule #2, I'm GUESSING you meant this:

 = 

But this isn't what you wrote exactly (you wrote "if the [last] entry is the only non-1 entry...", but the first entry - the base - is also not 1!)

As for Rules #3 and #4, I have no idea how they work. Rule #3 doesn't seem to do anything (it just says "go to...") and Rule #4 doesn't tell us how to do the "nesting".

It would be much *much* clearer if you wrote all the rules mathematically instead of English:

1.  = 

2.  = 

3. ?

4. ?

And now that I write it in this way, I have my own idea for writing rules #3 and #4 to make the system work. As a seasoned googologist I can easily fill in the blanks without even looking at your text for rules #3 and #4, but then it won't be LHN anymore. Even if my versions of rule #3 and #4 do exactly what you want them to do, It would be my definition and not yours (which is why I don't write my version of the rules here. I want to give you the chance to regorously define LHN completely on your own. After all, it is your system).