Triple

T26966815
Position Surface form Disambiguated ID Type / Status
Subject Big-O notation E679192 entity
Predicate formalDefinitionInvolves P78878 FINISHED
Object existence of positive constants c and n0 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: existence of positive constants c and n0 | Statement: [Big-O notation, formalDefinitionInvolves, existence of positive constants c and n0]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: formalDefinitionInvolves
Context triple: [Big-O notation, formalDefinitionInvolves, existence of positive constants c and n0]
  • A. definitionInvolves
    Indicates that the meaning or explanation of one concept necessarily includes or depends on another concept.
  • B. involves
    Indicates that an entity participates in, is a part of, or is implicated within a particular event, process, or relationship.
  • C. formulatedInTermsOf chosen
    Indicates that one concept, statement, or representation is expressed, defined, or described using the language, framework, or components of another.
  • D. involvedFormation
    Indicates that an entity participated in or contributed to the creation, establishment, or initial development of another entity or structure.
  • E. hasConceptualInvolvementBy
    Indicates that something is conceptually influenced, shaped, or defined by the ideas, theories, or mental contributions of a particular agent or source.
  • 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_69eeeb4f3a448190b1e94b2d4776c16e completed April 27, 2026, 4:51 a.m.
NER Named-entity recognition batch_69f65aa07c048190a5df30d53d8f0cf5 completed May 2, 2026, 8:12 p.m.
PD Predicate disambiguation batch_69f659cc571c819097e51e531961d812 completed May 2, 2026, 8:08 p.m.
Created at: April 27, 2026, 6:36 a.m.