Omitting types of prenex formulas
- 1 June 1967
- journal article
- Published by Cambridge University Press (CUP) in The Journal of Symbolic Logic
- Vol. 32 (1), 61-74
- https://doi.org/10.2307/2271243
Abstract
In the literature, a type Γ is a set of formulas ϕ(ν0) in the one free variable ν0. A model M realizes Γ if there is an element a of M such thatM ╞ ϕ [a] for all ϕ ∈ Γ.A model M omits Γ if no element of M realizes Γ. Evidently, the two statements:(*) M realizes Γand(**) M omits ΓKeywords
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