Triple

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).

Phrase: Herbrand universe | Statement: [Jacques Herbrand, conceptNamedAfter, Herbrand universe]

Target entity: Herbrand universe
Context triple: [Jacques Herbrand, conceptNamedAfter, Herbrand universe]

• A. Herbrand universe chosen
  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 interpretation
  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.
• C. 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.
• D. Herbrand expansion
  Herbrand expansion is a method in mathematical logic that transforms first-order formulas into equivalent (often infinite) propositional combinations by systematically instantiating quantified variables with terms from the Herbrand universe.
• E. Herbrand disjunction
  Herbrand disjunction is a logical formula formed as a finite disjunction of ground instances of a first-order formula, central to Herbrand’s theorem in proof theory and automated reasoning.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: conceptNamedAfter
Context triple: [Jacques Herbrand, conceptNamedAfter, Herbrand universe]

• A. isNamedFor chosen
  Indicates that one entity bears its name in honor of, or derived from, another entity.
• B. honorificEponym
  Indicates that one entity serves as an honorific namesake for another, typically recognizing or commemorating the person or entity in whose honor something is named.
• C. hasAwardNamedAfter
  Indicates that an entity has an award that is named in honor of another entity.
• D. hasHeritageSiteNamedAfter
  Indicates that one entity has a heritage site that is named after another entity.
• E. speciesEponym
  Indicates that a species is named in honor of a particular person or entity.
• F. None of above.