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: constructive type theory | Statement: [Brouwer–Heyting–Kolmogorov interpretation, relatedTo, constructive type theory]

Target entity: constructive type theory
Context triple: [Brouwer–Heyting–Kolmogorov interpretation, relatedTo, constructive type theory]

• A. Martin-Löf type theory chosen
  Martin-Löf type theory is a foundational system for constructive mathematics and computer science that integrates logic and computation through dependent types and serves as a basis for proof assistants and functional programming languages.
• B. calculus of constructions
  The calculus of constructions is a powerful type theory and foundational formal system that unifies higher-order logic and typed lambda calculus, serving as the basis for several modern proof assistants.
• C. Calculus of Inductive Constructions
  Calculus of Inductive Constructions is a powerful type theory that combines higher-order logic with inductive types and dependent types, forming the formal foundation of the Coq proof assistant.
• D. homotopy type theory
  Homotopy type theory is a branch of mathematical logic and foundations that interprets types as spaces and equalities as paths, connecting type theory with homotopy theory and higher category theory.
• E. constructive set theory
  Constructive set theory is a branch of mathematical logic that develops set theory using intuitionistic (constructive) logic and often weaker axioms, avoiding classical principles like unrestricted law of excluded middle.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.