Mostafa Mirabi

collaborators

4 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

In this paper, we study when uniform interpretations and definable quotients preserve finite-dimensional asymptotic classes. Counting in the ambient structures gives finitely many…

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}…

math.LO2023

Cohen Generic Structures with Functions

Nathanael Ackerman, Mohammad Golshani, Mostafa Mirabi

Suppose $L^{-} \subseteq L$ are languages where $L ∖ L^{-}$ is relational. Additionally, let $K$ be a strong $Fra ı ¨ ss e ˊ$ c…