Triple
T18266081
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Knuth–Bendix order |
E437487
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | well-founded ordering |
C42773
|
CONCEPT FINISHED |
How this triple was built (1 step)
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.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: well-founded ordering Context triple: [Knuth–Bendix order, instanceOf, well-founded ordering]
-
A.
total ordering
A total ordering is a binary relation on a set in which every pair of elements is comparable, and the relation is transitive, antisymmetric, and total.
-
B.
result in order theory
A result in order theory is a formally proven statement or theorem about the properties, structures, or relationships of ordered sets and order-preserving mappings.
-
C.
term ordering
A term ordering is a well-founded, total (or partial) order on terms used to compare and systematically arrange them, often to ensure termination and correctness in symbolic computation or logic-based algorithms.
-
D.
ordered field construction
An ordered field construction is a method for building a field equipped with a total order compatible with its algebraic operations, typically by defining or extending both the field structure and the order so they interact coherently.
-
E.
axiomatic set theory
Axiomatic set theory is a branch of mathematical logic that studies sets and their relationships by formulating precise axioms to avoid paradoxes and provide a rigorous foundation for mathematics.
- F. None of above. chosen
Provenance (1 batch)
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_69d8b913351c8190932b6a426de04b41 |
completed | April 10, 2026, 8:47 a.m. |
Created at: April 10, 2026, 10:34 a.m.