concatenation of two non regular languages


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Theorem: The language L = { anbn n ∈ ℕ } is not regular Proof: First we\'ll prove that if D is a DFA for L then when D is run on any two different strings an and am the DFA D must end in different states We proceed by contradiction Suppose D is a DFA for L where D ends in the same state when run on two distinct strings an and am

  • Is concatenation more pedagogical than practical?

    It's more pedagogical than practical. The concatenation is a*b*, surely? The definition of the concatenation of two languages L 1 and L 2 is the set of all strings wx where w ∈ L 1 and x ∈ L 2.

  • What is a concatenation of two languages?

    The definition of the concatenation of two languages L 1 and L 2 is the set of all strings wx where w ∈ L 1 and x ∈ L 2. This means that L 1 L 2 consists of all possible strings formed by pairing one string from L 1 and one string from L 2, which isn't necessarily the same as pairing up matching strings from each language.

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