admitsSolution
P3643
predicate
Indicates that a problem, system, or situation allows for or possesses at least one valid solution.
All labels observed (6)
| Label | Occurrences |
|---|---|
| admitsSolution canonical | 6 |
| isSolvable | 3 |
| allowsSolutionsFor | 2 |
| hasTrivialSolution | 1 |
| solutionSet | 1 |
| solvabilityProperty | 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: admitsSolution
Generated description
Indicates that a problem, system, or situation allows for or possesses at least one valid solution.
Sample triples (14)
| Subject | Object |
|---|---|
| Einstein field equations |
Schwarzschild black hole
ⓘ
surface form:
Schwarzschild metric
|
| Einstein field equations |
FLRW cosmological models
ⓘ
surface form:
Friedmann–Lemaître–Robertson–Walker metric
|
| Einstein field equations | Kerr metric ⓘ |
| Einstein field equations | Reissner–Nordström metric ⓘ |
| Einstein field equations | de Sitter spacetime ⓘ |
| Einstein field equations |
Minkowski space-time
ⓘ
surface form:
Minkowski spacetime
|
| Fermat's Last Theorem | n = 1 via predicate surface "allowsSolutionsFor" ⓘ |
| Fermat's Last Theorem | n = 2 via predicate surface "allowsSolutionsFor" ⓘ |
| Halting problem | recursively enumerable but not recursive via predicate surface "solutionSet" ⓘ |
| Heisenberg Lie algebra | true via predicate surface "isSolvable" ⓘ |
| Erdős–Moser equation | (k,m) = (1,2) via predicate surface "hasTrivialSolution" ⓘ |
|
general linear group GL(n,C)
surface form:
GL(n,ℂ)
|
false via predicate surface "isSolvable" ⓘ |
| Diophantine equations | undecidable in general via predicate surface "solvabilityProperty" ⓘ |
| symmetric group S5 | false via predicate surface "isSolvable" ⓘ |