Triple

T13509464
Position Surface form Disambiguated ID Type / Status
Subject KKT conditions E321097 entity
Predicate areNecessaryFor P110042 FINISHED
Object local optima under suitable constraint qualifications 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: local optima under suitable constraint qualifications | Statement: [KKT conditions, areNecessaryFor, local optima under suitable constraint qualifications]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: areNecessaryFor
Context triple: [KKT conditions, areNecessaryFor, local optima under suitable constraint qualifications]
  • A. isOftenRequiredFor
    Indicates that one entity is frequently needed or commonly necessary for the occurrence, use, or success of another entity or activity.
  • B. isNotRequiredFor
    Indicates that one entity is not necessary or mandatory for the existence, occurrence, validity, or completion of another entity or process.
  • C. requiredToProvide
    Indicates that one entity has an obligation or duty to supply or furnish something to another entity.
  • D. requiredBy
    Indicates that one entity depends on or cannot function properly without another entity being present, completed, or satisfied.
  • E. requiredTo
    Indicates that one entity has an obligation or necessity to perform an action or satisfy a condition in relation to another entity or context.
  • 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_69d807629d6c8190998f1b9bb12d2ed0 completed April 9, 2026, 8:09 p.m.
NER Named-entity recognition batch_69dbaf85a74081909eb08751fc55ce8f completed April 12, 2026, 2:43 p.m.
PD Predicate disambiguation batch_69dbae0b63748190b5e207f84b2532ea completed April 12, 2026, 2:36 p.m.
PDg Predicate description generation batch_69dbaee128d88190b097be17fdd2f92b completed April 12, 2026, 2:40 p.m.
Created at: April 9, 2026, 9:43 p.m.