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Counting quantification
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Counting quantification : ウィキペディア英語版
Counting quantification
A counting quantifier is a mathematical term for a quantifier of the form "there exists at least ''k'' elements that satisfy property ''X''".
In first-order logic with equality, counting quantifiers can be defined in terms of ordinary quantifiers, so in this context they are a notational shorthand.
However, they are interesting in the context of logics such as two-variable logic with counting that restrict the number of variables in formulas.
Also, generalized counting quantifiers that say "there exists infinitely many" are not expressible using a finite number of formulas in first-order logic.
== See also ==

*Uniqueness quantification

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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