Essential Forcing Generics

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Notre Dame Journal of Formal Logic 41 (1):41-52 (2000)
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Abstract

We use model theoretic forcing to study and generalize the construction of ()-generic models introduced by Kueker and Laskowski. We characterize the ()-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

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10.1305/ndjfl/1027953482

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References found in this work

On generic structures.D. W. Kueker & M. C. Laskowski - 1992 - Notre Dame Journal of Formal Logic 33 (2):175-183.
Forcing in Model Theory.Abraham Robinson, Jon Barwise & J. E. Fenstad - 1975 - Journal of Symbolic Logic 40 (4):633-634.
Algebraically prime models.J. T. Baldwin - 1981 - Annals of Mathematical Logic 20 (3):289.

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