Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:paradox
|
| gptkbp:appliesTo |
gptkb:system_U
|
| gptkbp:consequence |
restrictions on type systems in proof assistants
|
| gptkbp:describes |
inconsistency in certain type systems
|
| gptkbp:discoveredBy |
gptkb:Jean-Yves_Girard
|
| gptkbp:discoveredIn |
1972
|
| gptkbp:field |
gptkb:logic
|
| https://www.w3.org/2000/01/rdf-schema#label |
Girard's paradox
|
| gptkbp:influenced |
development of modern type theory
|
| gptkbp:prevention |
use of unrestricted impredicative polymorphism in type theory
|
| gptkbp:publishedIn |
Jean-Yves Girard's 1972 paper on system U
|
| gptkbp:relatedTo |
gptkb:Russell's_paradox
gptkb:Curry's_paradox |
| gptkbp:shows |
impredicative type systems can be inconsistent
|
| gptkbp:bfsParent |
gptkb:Jean-Yves_Girard
|
| gptkbp:bfsLayer |
5
|