)Draw a complete DFA to describe the language from the alphabet
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(Q)Draw a complete DFA to describe the language from the alphabet {a,b} where all words end in ab
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- (sigma)={ a , b }, the length of the strings in language L is at least two, the first two symbols are combined with the last two is the same. For example; aa, bbb, aaaa, bbabb, ababab, … Draw the diagram of the DFA of language L.2. Prove or disprove: (rs ꓴ r)*r = r(sr ꓴ r)*, where s and r are regular expressions. (Must show that the languages represented by the two regular expressions are the same.)(Q) Draw a complete DFA to describe the language from the alphabet {a,b} where all words are of even length. The empty string should be part of the language.
- Q: Define a RE for language that contains even number of b’s Define a RE for language that contains even number of b’sDefine a RE for language that contains even number of 1’sProve or disprove the following statements.a. {0^2j 1^3k | j, k > 0} is a regular language.b. {1^i 0^2j 1^i | i, j > 0} is a context-free language.Q4) Draw the smallest DFA that accepts the language derived by the regular expression (0*1*|1*0*).
- For each of the following statements about languages (i.e. sets of words), state whether they are true or falseGiven the alphabet ∑={a, t, z} Describe the language L over the alphabet. i.e. {y,t,z,tt,tz...}: 1. ʎ U (t + z) U (t + z)22. a*tz*t3. (a+z) U(t + z)24. t(a+z)*5. ∑2PLease answer both question with clear explanastion. Thanks in advance 1. What is the regular expression for the language, over alphabet {a, b}, of strings that start and end with the substring ab and contain one or more repetition of the substring bab.2. Describe in English the language associated with the following regular expression: (a+b)*a(a+b)*a*(a+b)*a(a+b)*
- Which logic law could be applied to the following clause? please give an explanation of the reasoning. ¬((a∧b)∨(c∨d))Let Σ = {0, 1} be an alphabet and let L ⊆ {0, 1}∗ be the language defined as L = {w ∈ {0, 1}∗ |w = x10y, x, y ∈ {0, 1}∗}. The two-part questions should be answered:(a) Determine whether 01 ∈ L.(b) Determine whether 0101 ∈ L.Given an alphabet Σ, which of the following languages is NOT regular? a) {ε} b) Σ+ c) none of the others d) ∅ e) Σ*