simply typed lambda calculus
GPTKB entity
Statements (38)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
formal semantics
typed lambda calculus |
| gptkbp:basedOn |
gptkb:lambda_calculus
|
| gptkbp:feature |
gptkb:Church-Rosser_property
beta reduction confluence function application function abstraction no fixed-point combinator no polymorphism no recursion simple types strong normalization subject reduction type assignment |
| gptkbp:field |
gptkb:logic
theoretical computer science |
| gptkbp:hasType |
function type
base type |
| https://www.w3.org/2000/01/rdf-schema#label |
simply typed lambda calculus
|
| gptkbp:introduced |
gptkb:Alonzo_Church
|
| gptkbp:introducedIn |
1940
|
| gptkbp:limitation |
cannot express all computable functions
not Turing complete |
| gptkbp:notation |
gptkb:lambda_arrow_calculus
λ→ |
| gptkbp:relatedTo |
gptkb:dependent_type_theory
gptkb:untyped_lambda_calculus gptkb:Curry-Howard_correspondence gptkb:System_F intuitionistic logic |
| gptkbp:usedIn |
proof theory
functional programming programming language theory type systems |
| gptkbp:bfsParent |
gptkb:lambda_calculus
gptkb:dependent_type_theory |
| gptkbp:bfsLayer |
5
|