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单词 Omitting types theorem
释义

Omitting types theorem

中文百科

型 (模型论) Type (model theory)

(重定向自Omitting types theorem)

在模型论中,是一阶逻辑中的一个兼容的公式集合。一个完备型是这类集合中的一个极大元素。

英语百科

Type (model theory) 型 (模型论)

(重定向自Omitting types theorem)

In model theory and related areas of mathematics, a type is an object that, loosely speaking, describes how a (real or possible) element or elements in a mathematical structure might behave. More precisely, it is a set of first-order formulas in a language L with free variables x1, x2,, xn which are true of a sequence of elements of an L-structure \mathcal{M}. Depending on the context, types can be complete or partial and they may use a fixed set of constants, A, from the structure \mathcal{M}. The question of which types represent actual elements of \mathcal{M} leads to the ideas of saturated models and omitting types.

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更新时间:2025/6/19 0:45:39