Triple
T6370807
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Church–Rosser property |
E143338
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object |
Newman’s lemma
Newman’s lemma is a result in rewriting theory that states a terminating abstract reduction system is confluent if and only if it is locally confluent.
|
E143338
|
NE FINISHED |
How this triple was built (4 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: Newman’s lemma | Statement: [Church–Rosser property, relatedTo, Newman’s lemma]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Newman’s lemma Context triple: [Church–Rosser property, relatedTo, Newman’s lemma]
-
A.
Bailey lemma
The Bailey lemma is a key result in the theory of basic hypergeometric series that provides a systematic method for generating Rogers–Ramanujan-type identities and other q-series relations.
-
B.
Ky Fan’s lemma
Ky Fan’s lemma is a combinatorial topological result that generalizes Tucker’s lemma and provides conditions guaranteeing the existence of certain balanced or fully labeled simplices in labeled triangulations of spheres or simplices.
-
C.
Church–Rosser property
The Church–Rosser property is a confluence property of rewriting systems stating that if an expression can be reduced in different ways, all reduction paths can be further reduced to a common equivalent form.
-
D.
Löb's theorem
Löb's theorem is a fundamental result in mathematical logic that characterizes when a sufficiently strong formal system can prove statements about its own provability, closely refining the insights of Gödel’s incompleteness theorems.
-
E.
Böhm–Jacopini theorem
The Böhm–Jacopini theorem is a foundational result in computer science stating that any computer program can be written using only sequence, selection, and iteration constructs, without requiring goto statements.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Newman’s lemma Triple: [Church–Rosser property, relatedTo, Newman’s lemma]
Generated description
Newman’s lemma is a result in rewriting theory that states a terminating abstract reduction system is confluent if and only if it is locally confluent.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Newman’s lemma Target entity description: Newman’s lemma is a result in rewriting theory that states a terminating abstract reduction system is confluent if and only if it is locally confluent.
-
A.
Bailey lemma
The Bailey lemma is a key result in the theory of basic hypergeometric series that provides a systematic method for generating Rogers–Ramanujan-type identities and other q-series relations.
-
B.
Ky Fan’s lemma
Ky Fan’s lemma is a combinatorial topological result that generalizes Tucker’s lemma and provides conditions guaranteeing the existence of certain balanced or fully labeled simplices in labeled triangulations of spheres or simplices.
-
C.
Church–Rosser property
chosen
The Church–Rosser property is a confluence property of rewriting systems stating that if an expression can be reduced in different ways, all reduction paths can be further reduced to a common equivalent form.
-
D.
Löb's theorem
Löb's theorem is a fundamental result in mathematical logic that characterizes when a sufficiently strong formal system can prove statements about its own provability, closely refining the insights of Gödel’s incompleteness theorems.
-
E.
Böhm–Jacopini theorem
The Böhm–Jacopini theorem is a foundational result in computer science stating that any computer program can be written using only sequence, selection, and iteration constructs, without requiring goto statements.
- F. None of above.
Provenance (5 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_69c008d8c61081908bcaf61510d881ed |
completed | March 22, 2026, 3:20 p.m. |
| NER | Named-entity recognition | batch_69c068277f6c81908e6a55e006f0c229 |
completed | March 22, 2026, 10:07 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c62d8bce3481909b0bf7533b330d1f |
completed | March 27, 2026, 7:11 a.m. |
| NEDg | Description generation | batch_69c62e2072808190a4f2dd262b631c88 |
completed | March 27, 2026, 7:13 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69c62f1bbdac8190b0cff9fbcddd68a7 |
completed | March 27, 2026, 7:17 a.m. |
Created at: March 22, 2026, 4:33 p.m.