If someone is thinking of DEVELOPING an IDE, then
one thing to look at is the open source 

https://www.jetbrains.com/mps/

I haven't used it for anything yet, but 
my brief understanding of its documentation
is that it's a bit like "Microsoft Word", except 
that in stead of text color the meaning of the 
words are entered by the user, who writes the "colored text".
That way there is no need for deriving the meaning of the words 
by analyzing their surrounding words by various complex
approaches like the 

http://www.antlr.org/

I do not know, how practical that approach is, but 
one other open source project is using the JetBrains MPS

http://mbeddr.com/

I do not have a clue, if it helps, but I at least tried to be helpful. :-D

As a side note I say that I've noticed that 
software developers, me myself included, 
are usually not as good at math as they _should_ 
and pure mathematicians tend to be at software development 
not as good as they could. That seems to 
explain a lot of things in this world. :-D

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