Mostafa Mirabi

works on

block-content canonization 1 finite fields 1 gallai-witt theorem 1 hales-jewett theorem 1 ramsey theory 1

From the 1 of 4 linked papers with an AI index.

collaborators

4 papers

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

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.CO2026

From Shelah's block-content to Hales-Jewett

Mohammad Golshani, Mostafa Mirabi, Saharon Shelah

The paper establishes a quantitative equivalence between Hales‑Jewett numbers and Shelah’s block‑content canonization, showing that block canonization together with the Gallai‑Witt…

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}…