Author

M. Golshani

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Preprint Aug 2026

Cohen Forcing with Fra\"iss\'e Classes Beyond $\aleph_1$

Kostana [5] asked for natural conditions on a class $\mathcal{K}$ to ensure that forcing with finite members of $\mathcal{K}$ on an underlying set $X$ is forcing equivalent to Cohen forcing. We show that if $\mathcal{K}_{\triangle}$ is the class of finite triangle-free graphs and $|X|\geq\aleph_2$, then $ \mathbb{C}_X(...

M. Golshani · 0 citations

Preprint Sep 2026

A Set-Theoretic Translation of Modal Logic via Forcing

We develop a set-theoretic translation of a normal modal extension $T_m$ of a recursively axiomatizable first-order theory $T$. We first pass to the Henkin expansion of the underlying language by adding witness constants and work with the sentence algebra of this expansion. The translation is constructed using the corr...

Somayeh Chopoghloo, M. Golshani · 0 citations