Each relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
- Relation ID
story_decidable_problem_to_recursively_enumerable_set_theorem_implication- Relation type
- Theorem implication
theorem-implication - Direction
- source → target
- Endpoint roles
- source: Implies by theorem; target: Follows by theorem from
- Authored annotation
- has a computably enumerable yes-language
Authored explanation
If a decision problem is decidable, its set of yes-instances is computably enumerable; run the decider through an effective enumeration of inputs and output those accepted.
How to interpret this relation type
Record a genuine theorem implication that is not part of the target definition; these edges may point toward a weaker structure.
Relation sources
- Turing — On Computable Numbers — On Computable Numbers, with an Application to the Entscheidungsproblem · original research paper · source ID
turing-computable-numbers