Triple
T29090690
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | AKS primality test |
E734843
|
entity |
| Predicate | improvedTimeComplexity |
P27167
|
FINISHED |
| Object | O((log n)^{7.5}) |
—
|
LITERAL FINISHED |
How this triple was built (2 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: O((log n)^{7.5}) | Statement: [AKS primality test, improvedTimeComplexity, O((log n)^{7.5})]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: improvedTimeComplexity
Context triple: [AKS primality test, improvedTimeComplexity, O((log n)^{7.5})]
-
A.
timeComplexity
chosen
Indicates the computational growth rate of an algorithm’s resource usage (typically time) as a function of input size.
-
B.
spaceComplexity
Indicates the relationship between an algorithm and the amount of memory it requires as a function of input size.
-
C.
isMoreEfficientThan
Indicates that one entity performs a task or uses resources in a way that achieves the same or better outcome with less time, effort, or cost than another entity.
-
D.
moreEfficientThan
Indicates that one entity performs a task or uses resources with greater efficiency than another entity.
-
E.
pseudoPolynomialTime
Indicates that the time complexity of an algorithm is polynomial in the numeric value of the input (e.g., the magnitude of numbers) rather than in the length of the input’s encoding.
- F. None of above.
Provenance (3 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69f05b0ed66481908f2e864fa550d2f1 |
completed | April 28, 2026, 7 a.m. |
| NER | Named-entity recognition | batch_69f6617d89d08190ae38220244c07b1f |
completed | May 2, 2026, 8:41 p.m. |
| PD | Predicate disambiguation | batch_69f65c2376a08190be5215171e908e69 |
completed | May 2, 2026, 8:18 p.m. |
Created at: April 28, 2026, 11:04 a.m.