Church's simple theory of types
GPTKB entity
Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
formal semantics |
| gptkbp:alsoKnownAs |
gptkb:STT
simple type theory |
| gptkbp:basisFor |
gptkb:Isabelle/HOL
gptkb:Lean_theorem_prover gptkb:HOL_theorem_provers Coq (in part) |
| gptkbp:feature |
hierarchy of types
typed lambda calculus function types simple types base types no dependent types prevents paradoxes |
| https://www.w3.org/2000/01/rdf-schema#label |
Church's simple theory of types
|
| gptkbp:influenced |
proof theory
higher-order logic modern type theory |
| gptkbp:influencedBy |
gptkb:lambda_calculus
gptkb:Russell's_type_theory |
| gptkbp:motive |
avoid logical paradoxes
|
| gptkbp:notation |
λ→
|
| gptkbp:proposedBy |
gptkb:Alonzo_Church
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
Formulation of the Simple Theory of Types |
| gptkbp:relatedTo |
gptkb:lambda_calculus
gptkb:set_theory gptkb:Russell's_type_theory higher-order logic |
| gptkbp:yearProposed |
1940
|
| gptkbp:bfsParent |
gptkb:classical_type_theory
|
| gptkbp:bfsLayer |
6
|