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: homotopy type theory | Statement: [Curry–Howard correspondence, relatedConcept, homotopy type theory]

Target entity: homotopy type theory
Context triple: [Curry–Howard correspondence, relatedConcept, homotopy type theory]

• A. homotopy type theory chosen
  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.
• B. Martin-Löf type theory
  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.
• C. univalent foundations program
  The univalent foundations program is a research initiative that redefines the foundations of mathematics using homotopy type theory, emphasizing computationally verifiable proofs and new connections between logic, topology, and category theory.
• D. univalence axiom
  The univalence axiom is a principle in homotopy type theory asserting that equivalent mathematical structures can be identified, providing a foundation for a new, homotopical approach to the foundations of mathematics.
• E. 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.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.