Triple
T24225458
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Kleene’s normal form theorem |
E601580
|
entity |
| Predicate | statesFormally |
P34
|
FINISHED |
| Object | there exists a primitive recursive function T(e,x,y) and a primitive recursive function U(y) such that every partial recursive function φ_e(x) satisfies φ_e(x) = U(μy T(e,x,y)) when defined |
—
|
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: there exists a primitive recursive function T(e,x,y) and a primitive recursive function U(y) such that every partial recursive function φ_e(x) satisfies φ_e(x) = U(μy T(e,x,y)) when defined | Statement: [Kleene’s normal form theorem, statesFormally, there exists a primitive recursive function T(e,x,y) and a primitive recursive function U(y) such that every partial recursive function φ_e(x) satisfies φ_e(x) = U(μy T(e,x,y)) when defined]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: statesFormally Context triple: [Kleene’s normal form theorem, statesFormally, there exists a primitive recursive function T(e,x,y) and a primitive recursive function U(y) such that every partial recursive function φ_e(x) satisfies φ_e(x) = U(μy T(e,x,y)) when defined]
-
A.
stateForm
Indicates that an entity has the political or constitutional form of a particular state or system of government.
-
B.
statehoodStatus
Indicates the legal or political condition of an entity regarding whether, how, or to what extent it is recognized or functions as a state.
-
C.
states
chosen
Indicates that an entity formally declares, expresses, or asserts a fact, opinion, or condition about another entity or situation.
-
D.
statehoodContext
Indicates the contextual circumstances, conditions, or framework under which an entity’s status as a state (or its statehood) is defined, recognized, or discussed.
-
E.
governmentFormOfRuledState
Indicates the type of governmental system or structure by which a particular state or territory is ruled.
- 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_69e29537ca548190b94a37ebe1977caf |
completed | April 17, 2026, 8:16 p.m. |
| NER | Named-entity recognition | batch_69f287df14148190ac2dd00bc248ebd2 |
completed | April 29, 2026, 10:36 p.m. |
| PD | Predicate disambiguation | batch_69f1c448abec8190b87cbf9ed419a309 |
completed | April 29, 2026, 8:41 a.m. |
Created at: April 18, 2026, midnight