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全称量化
存在量化
The parentheses indicate universal quantification by default.
默认情况下,圆括号表示的是全称量化。
Two fundamental kinds of quantification in predicate logic are universal quantification and existential quantification.
在谓词逻辑 的两类基本量化是全称量化 和存在量化 。
This is a single statement using universal quantification.
这是使用了存在量化的一个单一的称述。
System F allows polymorphism by using universal quantification over all types; from a logical perspective it can describe all functions that are provably total in second-order logic.
SQL does not explicitly support universal quantification, and must work it out as a negated existential quantification.
SQL不明确支持全称量化,必须将其定义为否定存在量化。
A succinct formulation which avoids these problems uses universal quantification
避免这些问题的一个简洁的公式化是使用全称量化 :
There is a special notation used only for universal quantification, which is given
这里给出一种仅用于表示全称量化的特殊符号表示:
Generally, then, the negation of a propositional function's existential quantification is a universal quantification of that propositional function's negation; symbolically,
一般地,则有,对一个命题函数的全称量化的否定是该命题函数的否定的一个存在量化 ;可用符号表示为:
These extensions are called conservative because if a formula φ involving new connectives is rewritten as a logically equivalent formula θ involving only negation, implication, and universal quantification, then φ is derivable in the extended system if and only if θ is derivable in the original system.
In this work Frege presented for the first time what we would recognise today as a logical system with negation, implication, universal quantification, essentially the idea of truth tables etc., but what would not be recognisable today is the notation which Frege used.
All of these variations also apply to universal quantification. Other variations for the universal quantifier are
所有这些变体都同样适用于全称量化和存在量化。
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