Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:alsoKnownAs |
GL
|
| gptkbp:characterizedBy |
formalized provability in Peano arithmetic
|
| gptkbp:completeness |
arithmetical completeness
|
| gptkbp:decidability |
decidable
|
| gptkbp:field |
gptkb:logic
|
| gptkbp:hasAxiom |
necessitation rule
K axiom Löb's axiom |
| gptkbp:hasModel |
finite irreflexive transitive trees
|
| https://www.w3.org/2000/01/rdf-schema#label |
Gödel–Löb provability logic
|
| gptkbp:introducedIn |
1955
|
| gptkbp:modalOperator |
box (□)
|
| gptkbp:namedAfter |
gptkb:Kurt_Gödel
gptkb:Martin_Hugo_Löb |
| gptkbp:relatedTo |
gptkb:Gödel's_incompleteness_theorems
gptkb:Peano_arithmetic gptkb:modal_logic_S4 |
| gptkbp:symbol |
GL
|
| gptkbp:usedIn |
proof theory
arithmetical interpretations |
| gptkbp:bfsParent |
gptkb:Löb's_theorem
|
| gptkbp:bfsLayer |
7
|