Triple
T14256377
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Löb's theorem |
E353392
|
entity |
| Predicate | formalStatementPattern |
P113462
|
FINISHED |
| Object | for all sentences φ, if T ⊢ Prov_T(⌜φ⌝) → φ then T ⊢ φ |
—
|
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: for all sentences φ, if T ⊢ Prov_T(⌜φ⌝) → φ then T ⊢ φ | Statement: [Löb's theorem, formalStatementPattern, for all sentences φ, if T ⊢ Prov_T(⌜φ⌝) → φ then T ⊢ φ]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: formalStatementPattern Context triple: [Löb's theorem, formalStatementPattern, for all sentences φ, if T ⊢ Prov_T(⌜φ⌝) → φ then T ⊢ φ]
-
A.
logicalForm
Indicates a relationship where an expression is associated with its structured, formal logical representation.
-
B.
isFormalizedBy
Indicates that something is given a defined, structured, or official form through a specific method, process, or representation.
-
C.
notationPattern
Indicates a recurring way in which something is symbolically represented or written, such as a consistent style or structure of notation used for an entity or concept.
-
D.
formalismFor
Indicates that one entity serves as a formal representation, framework, or notation specifically designed to model, describe, or reason about another entity.
-
E.
formalizedUnder
Indicates that something has been officially established, defined, or codified within the framework, authority, or provisions of a particular formal system, agreement, or institution.
- F. None of above. chosen
Provenance (4 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_69d8278c43e08190824146f4632b89a5 |
completed | April 9, 2026, 10:26 p.m. |
| NER | Named-entity recognition | batch_69de62992a188190bc046fbab5a149d6 |
completed | April 14, 2026, 3:51 p.m. |
| PD | Predicate disambiguation | batch_69de2a7d586c8190846ff242bbf5ac53 |
completed | April 14, 2026, 11:52 a.m. |
| PDg | Predicate description generation | batch_69de2e07d1f88190bdcd20967e484718 |
completed | April 14, 2026, 12:07 p.m. |
Created at: April 10, 2026, 1:09 a.m.