Henkin quantifiers and complete problems (Q1088983)

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scientific article; zbMATH DE number 4002077
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Henkin quantifiers and complete problems
scientific article; zbMATH DE number 4002077

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    Henkin quantifiers and complete problems (English)
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    1986
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    The authors analyze computational aspects of partially ordered quantification (introduced by Henkin) in first-order logic. They show that formulas obtained from first-order ones by applications of Henkin qantifiers are able to express \({\mathcal N}{\mathcal P}\)-complete properties of finite structures. However, Henkin quantifiers of one extremely restricted sort (narrow Henkin quantifiers) express exactly the co-\({\mathcal N}{\mathcal P}\) properties of finite structures.
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    computational aspects of partially ordered quantification
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    first-order logic
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    Henkin qantifiers
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    \({\mathcal N}{\mathcal P}\)-complete properties of finite structures
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    co-\({\mathcal N}{\mathcal P}\) properties
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