Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Kleene's_recursion_theorem
|
| gptkbp:appliesTo |
Turing machines
computable functions partial recursive functions |
| gptkbp:category |
theorems in the foundations of mathematics
|
| gptkbp:field |
gptkb:logic
computability theory |
| https://www.w3.org/2000/01/rdf-schema#label |
recursion theorem
|
| gptkbp:namedAfter |
gptkb:Stephen_Cole_Kleene
|
| gptkbp:relatedTo |
gptkb:Rice's_theorem
self-reference fixed-point theorem |
| gptkbp:sentence |
For any computable function, there exists an index e such that the function computed by e is the same as the function computed by applying the computable function to e.
|
| gptkbp:statedIn |
gptkb:Kleene,_1938
|
| gptkbp:usedIn |
gptkb:Gödel's_incompleteness_theorems
self-replicating programs proofs of fixed-point theorems quines |
| gptkbp:bfsParent |
gptkb:Computability_theory
|
| gptkbp:bfsLayer |
6
|