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gptkbp:instanceOf
|
gptkb:logic
formal semantics
|
|
gptkbp:alsoKnownAs
|
gptkb:first-order_predicate_calculus
predicate logic
quantificational logic
|
|
gptkbp:contrastsWith
|
gptkb:second-order_logic
higher-order logic
|
|
gptkbp:developedBy
|
gptkb:David_Hilbert
gptkb:Kurt_Gödel
gptkb:Thoralf_Skolem
gptkb:Leopold_Löwenheim
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gptkbp:generalizes
|
gptkb:logic
|
|
gptkbp:hasApplication
|
gptkb:artificial_intelligence
gptkb:knowledge_representation
automated theorem proving
formal verification
database theory
|
|
gptkbp:hasComponent
|
quantifiers
variables
constants
functions
predicates
|
|
gptkbp:hasProperty
|
gptkb:Löwenheim–Skolem_property
completeness
undecidability
compactness
|
|
gptkbp:hasQuantifiers
|
existential quantifier
universal quantifier
|
|
gptkbp:hasSemantics
|
gptkb:model
interpretations
|
|
gptkbp:hasStandardNotation
|
=
¬ (not)
→ (implies)
∀ (for all)
∃ (there exists)
∧ (and)
∨ (or)
|
|
gptkbp:hasSyntax
|
formulas
terms
sentences
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
First-Order Logic
|
|
gptkbp:inventedBy
|
gptkb:Gottlob_Frege
|
|
gptkbp:limitation
|
cannot express some properties of infinite structures
|
|
gptkbp:studiedIn
|
model theory
proof theory
|
|
gptkbp:usedIn
|
gptkb:mathematics
gptkb:philosophy
computer science
linguistics
|
|
gptkbp:bfsParent
|
gptkb:Ontological_Commitment
|
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gptkbp:bfsLayer
|
7
|