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gptkbp:instanceOf
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gptkb:logic
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gptkbp:contrastsWith
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gptkb:First-order_logic
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gptkbp:field
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gptkb:logic
gptkb:philosophy
Computer science
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gptkbp:hasProperty
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Greater expressive power than first-order logic
Not compact
Not complete
Undecidable
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gptkbp:hasSemantics
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gptkb:Henkin_semantics
Standard semantics
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gptkbp:hasSyntax
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Quantifiers over predicates and functions
Variables for predicates and functions
|
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gptkbp:introducedIn
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gptkb:19th_century
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gptkbp:notableFor
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Automated theorem proving
Type theory
Formal semantics
|
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gptkbp:relatedTo
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gptkb:Lambda_calculus
gptkb:Set_theory
gptkb:Second-order_logic
|
|
gptkbp:studiedBy
|
gptkb:Alonzo_Church
gptkb:Bertrand_Russell
gptkb:Henri_Poincaré
gptkb:Willard_Van_Orman_Quine
|
|
gptkbp:subclassOf
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gptkb:Formal_system
Predicate logic
|
|
gptkbp:usedIn
|
Formal verification
Proof assistants
|
|
gptkbp:uses
|
Quantification over functions
Quantification over predicates
|
|
gptkbp:bfsParent
|
gptkb:ProofPower
gptkb:Isabelle
|
|
gptkbp:bfsLayer
|
7
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Higher-order logic
|