2 problems

Let $\operatorname{FIM}_1$ be the free inverse monoid of rank $1$. Write $\operatorname{WP}(\operatorname{FIM}_1)$ and $\iota(\operatorname{FIM}_1)$ for its two word problem langua…

Let $\operatorname{FIM}_k$ be the free inverse monoid of rank $k$, and let $\operatorname{WP}(\operatorname{FIM}_k)$ and $\iota(\operatorname{FIM}_k)$ denote its two word problem l…