User blog comment:Russkiist/The Vosem Series/@comment-4297047-20150711003724/@comment-4224897-20150711013700

your notation is way way weaker than up-arrow notation - plus, it's really confusing that you use a notation identical to the ASCII substitute for up-arrow notation (using "^" for up-arrows). if you really want to use your exponent notation - even though you already have a very regularly used more powerful notation on handy - i would write it in a way that wouldn't be confused with up-arrow notation.