has tree calculus been used to prove something interesting about something that is not tree calculus?
That is like “selection/choosing” of the 1, 2 or 3 node structure to operate on, if I understood correctly: / or \ (think 0 or 1)
2 nodes:
/
\
Or
\
/
3 nodes:
\
/\
Or
/
/\
The whole program in binary calculus is not just a mess of zeros and ones in a binary form but has structure, so you can visually see lists, iteration, recursion, etc
You can theoretically code GTA-6 or the universe very much like ours using a binary tree ;-)
This language also has types and as far as I understood it was already implemented in itself - the whole parser/compiler fits on a book page
Better to hear from the author himself: https://youtu.be/aer5fH-OxeE