Structural connections between a forcing class and its modal logic

Every definable forcing class Γ gives rise to a corresponding forcing modality □Γ where □Γφ means that ϕ is true in all Γ extensions, and the valid principles of Γ forcing are the modal assertions that are valid for this forcing interpretation. For example, [10] shows that if ZFC is consistent, then...

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Bibliographic Details
Main Authors: Hamkins, J, Leibman, G, Löwe, B
Format: Journal article
Language:English
Published: Springer 2015

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