Hilbert-style deduction system
GPTKB entity
Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
deductive system
|
| gptkbp:appliesTo |
gptkb:logic
gptkb:first-order_logic |
| gptkbp:basisFor |
many logical systems
|
| gptkbp:characterizedBy |
large set of axioms
small set of inference rules |
| gptkbp:contrastsWith |
gptkb:sequent_calculus
natural deduction |
| gptkbp:example |
formal semantics
|
| gptkbp:hasRule |
gptkb:modus_ponens
generalization (in first-order logic) |
| https://www.w3.org/2000/01/rdf-schema#label |
Hilbert-style deduction system
|
| gptkbp:namedAfter |
gptkb:David_Hilbert
|
| gptkbp:notableFor |
historical importance
axiomatic approach simplicity of rules |
| gptkbp:originatedIn |
early 20th century
|
| gptkbp:sometimesCalled |
axiomatic system
|
| gptkbp:usedIn |
gptkb:logic
proof theory |
| gptkbp:bfsParent |
gptkb:Gentzen's_natural_deduction_system
|
| gptkbp:bfsLayer |
8
|