Computer Science · Theory of Computation
Which of the following statements is FALSE regarding recursive and recursively enumerable sets?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1If L1 and L2 are recursively enumerable sets, then L1 ∪ L2 is not recursively enumerable.✓
- 2The Halting problem for Turing machines is recursively undecidable.
- 3The complement of a recursive set is recursive.
- 4The union of two recursive sets is recursive.
Correct answer
If L1 and L2 are recursively enumerable sets, then L1 ∪ L2 is not recursively enumerable.
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