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gptkbp:instanceOf
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gptkb:logic
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gptkbp:allowsQuantificationOver
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sets
functions
predicates
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gptkbp:contrastsWith
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gptkb:logic
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:formedBy
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gptkb:Alonzo_Church
gptkb:Bertrand_Russell
gptkb:Henri_Poincaré
gptkb:Willard_Van_Orman_Quine
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gptkbp:hasApplication
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gptkb:artificial_intelligence
gptkb:mathematics
gptkb:knowledge_representation
linguistics
|
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gptkbp:hasProperty
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expressive
undecidable
powerful
not complete
categorical in Henkin semantics
greater expressive power than first-order logic
non-categorical in standard semantics
not compact
|
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gptkbp:hasSemantics
|
gptkb:Henkin_semantics
standard semantics
|
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gptkbp:hasSubgroup
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gptkb:second-order_logic
|
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gptkbp:hasSyntax
|
quantifiers over predicates
variables of higher types
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Higher Order Logic
|
|
gptkbp:isFoundationFor
|
gptkb:Isabelle/HOL
gptkb:HOL_theorem_prover
gptkb:HOL_Light
gptkb:ProofPower
gptkb:PVS
Coq (partially)
|
|
gptkbp:limitation
|
undecidability
incompleteness
|
|
gptkbp:relatedTo
|
gptkb:lambda_calculus
gptkb:logic
gptkb:first-order_logic
|
|
gptkbp:usedIn
|
automated theorem proving
formal verification
proof assistants
|
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gptkbp:bfsParent
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gptkb:HOL
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gptkbp:bfsLayer
|
6
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