decidability
P91856
predicate
Indicates whether a given problem, property, or statement can be algorithmically determined to be true or false for all possible inputs.
All labels observed (5)
| Label | Occurrences |
|---|---|
| isUndecidable | 2 |
| computabilityStatus | 1 |
| decidability canonical | 1 |
| decidabilityOfTyping | 1 |
| decidabilityResult | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: decidability
Generated description
Indicates whether a given problem, property, or statement can be algorithmically determined to be true or false for all possible inputs.
Sample triples (6)
| Subject | Object |
|---|---|
| Hilbert’s tenth problem | undecidable ⓘ |
|
system F
surface form:
System F
|
type inhabitation problem via predicate surface "isUndecidable" ⓘ |
|
system F
surface form:
System F
|
typability problem via predicate surface "isUndecidable" ⓘ |
| Diophantine equations | no algorithm exists to decide solvability over integers (Hilbert's tenth problem) via predicate surface "decidabilityResult" ⓘ |
|
AIXI model
surface form:
AIXI
|
uncomputable via predicate surface "computabilityStatus" ⓘ |
| System F | undecidable in general via predicate surface "decidabilityOfTyping" ⓘ |