Question:medium

If L and L are recursively enumerable, then L is:

Show Hint

To determine whether a language is recursive, check if both the language and its complement are recursively enumerable.
Updated On: Feb 11, 2026
  • Regular
  • Context-free
  • Context-sensitive
  • Recursive
Show Solution

The Correct Option is D

Solution and Explanation

A language L is recursive if, and only if, both L and its complement L are recursively enumerable (RE). The simultaneous enumerability of a language and its complement allows for membership to be decided, thereby classifying the language as recursive.
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