Mostafa Mirabi

collaborators

3 papers

math.LO2026

Relative stability, relative categoricity and internal covers

Mostafa Mirabi, Anand Pillay

Let $T$ be a countable complete theory with a distinguished unary predicate $P$ , and let $T^{P}$ be the theory of the $P$ -parts of models of $T$ with the induced structure. $T$ is…

math.LO2026

Asymptotic classes via definable quotients

Mostafa Mirabi

We study when finite-dimensional asymptoticity transfers through uniform interpretations and definable quotients. Ambient counting yields finitely many asymptotic alternatives, but…

math.LO2026

Scott complexity of trees of finite rank via degrees of categoricity

Mohammad Mahmoud, Mostafa Mirabi

In earlier work \cite{Mah19}, the first author constructed, for each finite $m \geq 1$ , a computable tree $\A_{m+1}$ of rank $m + 1$ whose strong degree of categoricity is $\mathbf{0}…