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单词 decreasing domain
释义
decreasing domain

Logic
  • Describes first-order Kripke models for modal logic in which the domains of quantification of the possible worlds are anti-monotonic, that is, for any possible world w and w′ with domains Dw and Dw′, the following condition holds:

    If wRw′ then Dw′ ⊆ Dw.

    The class of decreasing domain Kripke models for a normal modal logic corresponds to the validity of the Barcan formula

    • • ∀x□φ(x)→□∀xφ(x)

    Decreasing domains may be contrasted with the notion of an increasing domain; both are special cases of variable domain models.


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