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7
votes
Accepted
Algorithmic decidability of equality in the ring of periods
There is no known algorithm for that, and it is unknown if such an algorithm exists.
10
votes
2
answers
455
views
Is equivalence of functions built from nested exponentiations a decidable problem?
Let $\mathcal{E}$ be the minimal set of symbolic expressions (without any predefined meaning) such that
The symbol $x$ is in $\mathcal{E}$, and
If expressions $P,Q\in\mathcal{E}$, then the superscr …