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Lindström quantifier

In mathematical logic, a Lindström quantifier is a generalized polyadic quantifier. Lindström quantifiers generalize first-order quantifiers, such as the existential quantifier, the universal quantifier, and the counting quantifiers. They were introduced by Per Lindström in 1966. They were later studied for their applications in logic in computer science…

Science, Generalization of first-order quantifiers & As precursors to Lindström's theorem

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Generalization of first-order quantifiers

MonadicPower setEmpty setIf and only ifHartig's quantifier
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As precursors to Lindström's theorem

CompactnessLöwenheim–Skolem theoremLindström's theorem
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Overview

Mathematical logicGeneralized polyadic quantifierExistential quantifierUniversal quantifierCounting quantifiers
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Generalization of first-order quantifiers

Expressiveness hierarchy

As precursors to Lindström's theorem

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Lindström quantifier

Nodes23
Edges22
Triples46
Avg. degree1.91
Density0.086957
Components1

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Lindström quantifier

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related to References · 44
Lindström quantifier → Action, Annals, Antonio Badia, Applied Logic, Blackwell Publishing, Burtschick, Computer Science, Dag, Definability, ECCC TR96-005Westerståhl, First, Generalized Quantification, Goble, Hans-Jörg, Hella, Heribert, IEEE Symposium, In Proceedings, ISBN, Journal
is a · 2
Lindström quantifier → generalized polyadic quantifier, polyadic generalized quantifier

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Important terminology

quantifier logic quantifiers lindström generalized dom first-order example displaystyle monadic defined properties type 1966 hierarchy theorem phi family subsets hella

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SubjectPredicateObjectConfidenceSrc
Lindström quantifieris ageneralized polyadic quantifier0.90text
Lindström quantifieris apolyadic generalized quantifier0.90text
Lindström quantifierrelated to ReferencesLock-green0.60section
Lindström quantifierrelated to ReferencesLock-gray-alt-20.60section
Lindström quantifierrelated to ReferencesLock-red-alt-20.60section
Lindström quantifierrelated to ReferencesWikisource-logo0.60section
Lindström quantifierrelated to ReferencesLindstrom0.60section
Lindström quantifierrelated to ReferencesFirst0.60section
Lindström quantifierrelated to ReferencesTheoria0.60section
Lindström quantifierrelated to ReferencesHella0.60section
Lindström quantifierrelated to ReferencesDefinability0.60section
Lindström quantifierrelated to ReferencesAnnals0.60section

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