regular language closed under concatenation


  • Is regular language closed under concatenation?

    Regular languages are closed under union, concatenation, star, and complementation.
  • How to show that regular language is closed under union and concatenation?

    Closure under Union
    For any regular languages L and M, then L ? M is regular. Proof: Since L and M are regular, they have regular expressions, say: Let L = L(E) and M = L(F). Then L ? M = L(E + F) by the definition of the + operator.
  • Which languages are closed under concatenation?

    Closed under Concatenation
    By the above definition if a user generates S1 string for language L1 followed by S2 string of language. Then, its concatenation of both languages is generated. So, context free language is closed under concatenation operation.
  • True, The concatenation of two regular expressions is closed which means the concatenation of two regular expressions gives a regular expression.
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