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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…

Definition in terms of ordinary quantifiers & Overview

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Definition in terms of ordinary quantifiers

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Overview

MathematicalQuantifierFirst-order logicTwo-variable logic with counting
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Definition in terms of ordinary quantifiers

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Counting quantification

Nodes8
Edges7
Triples1
Avg. degree1.75
Density0.25
Components1

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Important terminology

counting logic quantifiers exists terms ordinary first-order context number formulas also quantifier least defined two-variable mathematical displaystyle denote exist term

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SubjectPredicateObjectConfidenceSrc
two-variable logic with counting that restrict the number of variables in formulasinstance ofthey are interesting in the context of logics0.80text

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