论文标题

积极的解释理论

Positive model theory of interpretations

论文作者

Kanalas, Kristóf

论文摘要

我们证明了$ \ Mathcal {C} \ to \ Mathcal {d} $相干函数的模型理论结果的类似物,包括省略类型定理的变体和超强构建体的一些结果。我们将$ \ mathcal {c} \的分布晶格不变式引入\ Mathbf {set} $相干函数,该函数完全消失在正面的封闭模型上,然后我们研究其函数属性。

We prove analogues of model theory results for $\mathcal{C}\to \mathcal{D}$ coherent functors, including variants of the omitting types theorem and some results on ultraproduct constructions. We introduce a distributive lattice valued invariant of $\mathcal{C}\to \mathbf{Set}$ coherent functors that vanishes precisely on positively closed models, then we study its functorial properties.

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