Home » Theory of Computation » Theory of computation miscellaneous » Question

Theory of computation miscellaneous

Theory of Computation

  1. Let A ≤m B denotes that language A is mapping reducible (also known as many-to-one reducible) to language B.
    Which one of the following is FALSE?
    1. If A ≤m B and B is recursive then A is recursive.
    2. If A ≤m B and A is undecidable then B is undecidable.
    3. If A ≤m B and B is recursively enumerable then A is recursively enumerable.
    4. If A ≤m B and B is not recursively enumerable then A is not recursively enumerable.
Correct Option: D

If B is not recursively enumerable then A need not be recursively enumerable.



Your comments will be displayed only after manual approval.