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 (under suitable reductions) | Statement: [NP-hardness, exampleProblem, halting problem (under suitable reductions)]

Target entity: halting problem (under suitable reductions)
Context triple: [NP-hardness, exampleProblem, halting problem (under suitable reductions)]

• 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. Turing reducibility
  Turing reducibility is a central computability-theoretic notion that compares the relative computational difficulty of decision problems by allowing one problem to be solved using an oracle for another.
• C. 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.
• D. 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.
• E. 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).
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: exampleProblem
Context triple: [NP-hardness, exampleProblem, halting problem (under suitable reductions)]

• A. typicalProblem
  Indicates that a situation, issue, or obstacle is representative or characteristic of the usual problems encountered in a given context.
• B. problemType chosen
  Indicates the specific category or classification of a problem within a defined problem space or system.
• C. problemStatement
  Indicates that an entity presents, defines, or expresses a specific problem or issue to be addressed.
• D. problemTypeSolved
  Indicates that a given problem has been successfully solved or resolved by a particular entity or method.
• E. numberOfProblems
  Indicates the quantity or count of problems associated with a given entity or situation.
• F. None of above.