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gptkbp:instanceOf
|
gptkb:logic
formal semantics
|
|
gptkbp:alsoKnownAs
|
gptkb:first-order_predicate_calculus
predicate logic
|
|
gptkbp:basisFor
|
formal semantics
model theory
proof theory
automated theorem proving
|
|
gptkbp:formedBy
|
gptkb:David_Hilbert
gptkb:Gottlob_Frege
gptkb:Kurt_Gödel
gptkb:Thoralf_Skolem
gptkb:Leopold_Löwenheim
|
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gptkbp:generalizes
|
gptkb:logic
|
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gptkbp:hasApplication
|
gptkb:artificial_intelligence
gptkb:mathematics
gptkb:knowledge_representation
linguistics
philosophy of language
formal verification
database theory
|
|
gptkbp:hasAxiom
|
gptkb:sequent_calculus
gptkb:Hilbert_system
natural deduction
|
|
gptkbp:hasDecidability
|
undecidable in general
|
|
gptkbp:hasFragment
|
gptkb:monadic_first-order_logic
guarded fragment
two-variable fragment
|
|
gptkbp:hasProperty
|
gptkb:Löwenheim–Skolem_theorem
completeness
undecidability
compactness
|
|
gptkbp:hasQuantifiers
|
existential quantifier
universal quantifier
|
|
gptkbp:hasSemantics
|
gptkb:model
interpretations
|
|
gptkbp:hasSyntax
|
formulas
terms
sentences
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
First-order logic
|
|
gptkbp:limitation
|
cannot express finiteness
cannot express well-ordering
|
|
gptkbp:studiedIn
|
gptkb:logic
gptkb:philosophy
computer science
|
|
gptkbp:uses
|
logical connectives
quantifiers
variables
constants
functions
predicates
|
|
gptkbp:bfsParent
|
gptkb:Classical_Logic
gptkb:Completeness_theorem
gptkb:Higher-order_logic
|
|
gptkbp:bfsLayer
|
5
|