Closure Properties
Recursive languages are closed under the following operations. That is, if L and P are two recursive languages, then the following languages are recursive as well:
- The Kleene star
- The image φ(L) under an e-free homomorphism φ
- The concatenation
- The union
- The intersection
- The complement of
- The set difference
The last property follows from the fact that the set difference can be expressed in terms of intersection and complement.
Read more about this topic: Recursive Language
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