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: Halting problem | Statement: [Rice's theorem, relatedTo, Halting problem]

Target entity: Halting problem
Context triple: [Rice's theorem, relatedTo, Halting problem]

• A. Halting problem chosen
  The halting problem is a fundamental decision problem in computability theory that asks whether a given program will eventually stop running or continue to run forever, and is famously proven to be undecidable.
• B. Entscheidungsproblem
  The Entscheidungsproblem is a foundational decision problem in mathematical logic that asks whether there exists a general algorithm to determine the truth or falsity of any given first-order logical statement.
• C. Rice's theorem
  Rice's theorem is a fundamental result in computability theory stating that any non-trivial semantic property of the language recognized by a Turing machine is undecidable.
• D. Church–Turing thesis
  The Church–Turing thesis is a foundational principle in computability theory stating that any function that can be effectively computed by an algorithm can be computed by a Turing machine (or equivalently by other formal models of computation).
• E. Post correspondence problem
  The Post correspondence problem is a classic undecidable decision problem in theoretical computer science and mathematical logic that plays a central role in demonstrating the limits of algorithmic computability.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.