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math.LO2026
A Set-Theoretic Translation of Modal Logic via Forcing
Somayeh Chopoghloo, Mohammad Golshani
We develop a set-theoretic translation of a normal modal extension of a recursively axiomatizable first-order theory . We first pass to the Henkin expansion of the underly…
math.LO2026
Completeness and Incompleteness for Expanding Gödel-Löb Logics
Somayeh Chopoghloo, David Fernández-Duque, Joost J. Joosten +1
Expanding products of modal logics are bimodal logics obtained from the combination of a `horizontal component' logic and a `vertical component' logic, lying between the fusion and…