Question:
If L and L are recursively enumerable, then L is:
If L and L are recursively enumerable, then L is:
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To determine whether a language is recursive, check if both the language and its complement are recursively enumerable.
Updated On: Dec 29, 2024
- Regular
- Context-free
- Context-sensitive
- Recursive
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The Correct Option is D
Solution and Explanation
If both L and L are recursively enumerable (RE), then L must be recursive. This is because a language L is recursive if both L and its complement L are RE. In other words, if you can enumerate both a language and its complement, you can decide membership in the language, meaning it is recursive.
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