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: Curry–Howard isomorphism | Statement: [Curry–Howard correspondence, alsoKnownAs, Curry–Howard isomorphism]

Target entity: Curry–Howard isomorphism
Context triple: [Curry–Howard correspondence, alsoKnownAs, Curry–Howard isomorphism]

• A. Curry–Howard correspondence chosen
  The Curry–Howard correspondence is a foundational principle in logic and computer science that establishes a deep analogy between proofs and programs, and between logical propositions and types in programming languages.
• B. Brouwer–Heyting–Kolmogorov interpretation
  The Brouwer–Heyting–Kolmogorov interpretation is a foundational explanation of intuitionistic logic that interprets logical connectives and proofs in terms of explicit constructions and algorithms rather than classical truth values.
• C. Brouwer–Heyting logic
  Brouwer–Heyting logic is the standard formal system of intuitionistic logic, capturing constructive reasoning by rejecting the law of excluded middle and other non-constructive classical principles.
• D. 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.
• E. 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.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.