Each relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
- Relation ID
story_decision_problem_to_decidable_problem_classification- Relation type
- Classification
classification - Direction
- source → target
- Endpoint roles
- source: Has subtype; target: Classified as
- Authored annotation
- has a total decider
Authored explanation
A decision problem is decidable when some algorithm halts with the correct answer on every input.
How to interpret this relation type
The target is a member or subtype of the broader source class.
Relation sources
- Turing — On Computable Numbers — On Computable Numbers, with an Application to the Entscheidungsproblem · original research paper · source ID
turing-computable-numbers
This is an authored directed relation from the source endpoint to the target endpoint.
- Relation ID
computability_decision_problem_to_many_one_reduction- Relation type
- Add data
add-data - Direction
- source → target
- Endpoint roles
- source: Builds toward; target: Built from
- Authored annotation
- encode instances computably
Authored explanation
A many-one reduction supplies a total computable translation of instances so that one answer to the target decision problem decides the original instance without adaptive oracle queries.
How to interpret this relation type
Equip an existing carrier or structured object with additional chosen data, when such compatible data exists. Use a construction junction when several independently meaningful inputs must coexist on the same carrier or interact compatibly.
This is an authored directed relation from the source endpoint to the target endpoint.
- Relation ID
story_decision_problem_to_undecidable_problem_classification- Relation type
- Classification
classification - Direction
- source → target
- Endpoint roles
- source: Has subtype; target: Classified as
- Authored annotation
- has undecidable instances as a subclass
Authored explanation
An undecidable problem is a decision problem for which no total algorithm returns the correct yes-or-no answer on every encoded instance.
How to interpret this relation type
The target is a member or subtype of the broader source class.
Relation sources
- Turing — On Computable Numbers — On Computable Numbers, with an Application to the Entscheidungsproblem · original research paper · source ID
turing-computable-numbers