As I'm reading it,
noun := atom | cell
atom := integer
cell := (noun, noun)
So when you say "nouns don't have cycles", my problem is that I don't know what you mean by "don't". Do you mean they're not able to have cycles? (am I unable to write A = (A, A)?) or do you mean that you prohibit it? (that you check validate nouns to avoid cycles?) or do you mean that model prohibits cycles? (it appears to allow for A = (A,A), so I don't see that).It helps to tell me it's a tree. It's okay to use the word 'noun' if that's the word for it, but telling me "nouns make a tree, where the leaves are called atoms and the non-leaves are called cells" - that's far more useful than describing properties of trees without using the word tree.
When you mention the implementation details in "although a noun implementation should take advantage of acyclic graph structure", do you mean to say "therefore" instead of "although"? Because if nouns don't have cycles it makes sense that you can take advantage of that. The word "although", however, signals an exception, and the "although.." clause should say something that is somehow in opposition to the first part of the sentence. The nod to implementation details is probably unnecessary,but it would be harmless if not for that confusing word "although" that makes me think I've misunderstood something.
.. though, I'm really sleep-deprived today, so perhaps I am struggling to understand things that I would otherwise be able to parse. I dunno.