3. Are the following languages A and B over the alphabet = {a, b, c, d} regular or nonreg- ular? For a language that is regular, give a regular expression that defines it. • For a nonregular language, using the pumping lemma prove that it is not regular. (a) (b) A = {a³fk+2+1 |j≥ 1, k≥ 1, m > 1}U {b'cs+2+¹ \r>t≥ 1, s≥ 1}. B = {a³+³f²k+2m|j≥ 1, k ≥ 1, m≥ 1}U {br+3c³d²t-¹|r≥ 1, s ≥ 1, t ≥ 1} Hints: The languages A and B are each expressed as a union of two sets. If one (or both) of the sets is non-regular, this does not imply anything about the non-regularity of the union. When trying to show that a language C is non-regular, we have to apply the pumping lemma to the entire language C (and not to the components of the union). On the other hand, if trying to show that C is regular, you can give regular expressions for the two component sets and then apply "+".

Q: 8 Regular Languages and Finite Automata (AMP) (a) (i) Given any non-deterministic finite automaton…

A: (a) (i). The following approach can be used to create a regular expression r whose language of…

Q: The language L = { 1" | n is not a prime number} is a regular language. Ο Τ OF

A: There is one language given as follows, L =  {1^n | n is not a prime number} We need to check that…

Q: Consider the NFA N₁ shown in Figure 1 over the alphabet Σ₁ = {0, 1}. 0 1 92 91 € X Figure 1: NFA N₁…

A: In this question we will find elements and transition state and further prove concatenation…

Q: A language L over an alphabet Σ is co-finite, if Σ∗ \L is empty or finite. Let COFNFA = {〈N 〉|N is a…

A: given A language L over an alphabet Σ is co-finite, if Σ∗ \L is empty or finite. LetCOFNFA = {〈N 〉|N…

Q: State the pumping lemma with all its conditions and indicate how you go about proving that a…

A: the pumping lemma with all its conditions and indicate  you go about proving that a language is not…

Q: There are two key steps in using Pumping lemma to prove a language to be nonregular: pick w and i…

A: Please find the answer to the above question below:

Q: Random Trivia Give a brief, concise answer for each of the following questions. If it asks for a…

A: a). For what languages (L) is L* finite?Theorem: L* is finite if and only if L = {ε}.Proof:1.…

Q: Please classify the following languages as 1. in P         2. In P but not in NP         3.…

A: Hi there, Please find your solution below, I hope you would find my solution useful and helpful.…

Q: Show that there are two non-regular languages ​​M and N such that M ∩ N is regular

A: This question from the subject theory of Automata. This question wants to ask "is it possible that…

Q: ) If the languages are regular, give an automaton. Otherwise, show it is not regular by using…

A: To show that L = {b^2 a^n b^m a^3 | m, n ≥ 0} is a regular language, we need to construct a finite…

Q: Consider the alphabet is Σ = {a,b,c}. For each of the following languages, specify if the language…

A: We are given three different languages and asked whether they are regular languages or not.Regular…

Q: L= {a"bn+1}

A: Since you are asking multiple questions, we are answering first question for you. If you want…

Q: by using Pumping Lemma prove that the following language is non-regular: L = { a^n b^k : 0 < k < n }

A: Pumping Lemma: In this pumping lemma if the string is pumped then the value is inserted any number…

Q: Li s a regular language , prove that the language L2​= {uv ∣ u ∈ LR ,v ∈ L} is also regular.

A: Proof has been given below