Abstract
We use model theoretic forcing to study and generalize the construction of ($K, \leq$)-generic models introduced by Kueker and Laskowski. We characterize the ($K, \leq$)-generic models in terms of forcing and introduce a more general class of models, called essential forcing generics, which have many of the same properties.
Citation
Stephanie Cawthorne. David Kueker. "Essential Forcing Generics." Notre Dame J. Formal Logic 41 (1) 41 - 52, 2000. https://doi.org/10.1305/ndjfl/1027953482
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