Turing completeness

Target entity: Turing completeness
Context triple: [Böhm–Jacopini theorem, relatedConcept, Turing completeness]

• A. Turing machine
  A Turing machine is an abstract computational model that manipulates symbols on an infinite tape according to a set of rules, providing a formal foundation for the concept of algorithm and computability.
• B. 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).
• C. 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.
• D. Halting problem
  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.
• E. Turing degrees
  Turing degrees are an abstract classification of sets of natural numbers or decision problems according to their relative level of algorithmic unsolvability or computational complexity under Turing reducibility.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Turing completeness
Target entity description: Turing completeness is a property of a computational system indicating that it can simulate any Turing machine and thus perform any computation that is algorithmically possible, given enough time and memory.

• A. Turing machine
  A Turing machine is an abstract computational model that manipulates symbols on an infinite tape according to a set of rules, providing a formal foundation for the concept of algorithm and computability.
• B. 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).
• C. 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.
• D. Halting problem
  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.
• E. Turing degrees
  Turing degrees are an abstract classification of sets of natural numbers or decision problems according to their relative level of algorithmic unsolvability or computational complexity under Turing reducibility.
• F. None of above. chosen