Triple

T10198073
Position Surface form Disambiguated ID Type / Status
Subject Herbrand interpretation E238813 entity
Predicate relatedTo P37 FINISHED
Object Herbrand model E238813 NE 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: Herbrand model | Statement: [Herbrand interpretation, relatedTo, Herbrand model]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Herbrand model
Context triple: [Herbrand interpretation, relatedTo, Herbrand model]
  • A. Herbrand universe
    The Herbrand universe is a fundamental concept in mathematical logic and automated theorem proving, consisting of all ground (variable-free) terms that can be built from the function symbols and constants of a given first-order language.
  • B. Herbrand semantics
    Herbrand semantics is a formal framework in logic and automated theorem proving that interprets first-order formulas over the Herbrand universe of ground terms to define truth and satisfiability.
  • C. Herbrand interpretation chosen
    A Herbrand interpretation is a foundational model-theoretic construct in logic and automated theorem proving that interprets formulas over the Herbrand universe built from a theory’s own function symbols and constants.
  • D. Herbrand base
    The Herbrand base is the set of all ground (variable-free) atomic formulas that can be formed from the predicate and constant symbols of a first-order language, serving as the foundational domain for Herbrand semantics and automated theorem proving.
  • E. Herbrand's theorem
    Herbrand's theorem is a fundamental result in mathematical logic and proof theory that characterizes the validity of first-order formulas via finite sets of ground instances, forming a basis for automated theorem proving.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

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_69ca84e1ea088190b38162e43d4cfa8f completed March 30, 2026, 2:12 p.m.
NER Named-entity recognition batch_69cdee3c44408190b09fa41f2d257c04 completed April 2, 2026, 4:19 a.m.
NED1 Entity disambiguation (via context triple) batch_69d32aef701c8190a01e632eb4fda1b9 completed April 6, 2026, 3:39 a.m.
Created at: March 30, 2026, 9:13 p.m.