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15 votes

Order type of the smallest set containing the identity function and closed under exponentiation

This is a partial answer, and I am unsure about part of it. I claim that these functions are well-ordered by eventual domination, and the order type is at most the ordinal $\epsilon_0$. First, your …
Joel David Hamkins's user avatar
1 vote

Rational exponential expressions

I don't have an answer to the one-variable decision question that you asked. But you did introduce multi-variable expressions, and there are some fascinating results on the multi-variable analogue of …
Joel David Hamkins's user avatar