(5) If L is context free, then L¬L must also be context free. True O False

Problem 23. Design a DFA M that decides the language A = {x E {0, 1}*l#(1,x) is odd and (bnum(x) is a multiple of 2 or a multiple of 3)}.

1b) Let A = {aibjck∶0 ≤ i ≤ j ≤ k}. Use the pumping lemma for context-free languages to prove that A is not a context-free language. 1c) Let A = {w#w∶w ∈ {a,b}*}. Use the pumping lemma for context-free languages to prove that A is not a context-free language.

1) Given the following English descriptions of a language, write a regular expression that defines the language, and draw the state diagram of a DFA that accepts the language. For all languages, let Σ = {a, b}.a) The language consisting of all words having a number of a's that is a multiple of 3.b) The language consisting of all words that contain "babb".c) The language consisting of all words that end in "ba".d) The language consisting of all words that do not end in "ba".

CS 1105 Chapter 3 Question 7.4 Construct an NFA model that represents the language by the regular expression: x(y ∪ (xy)∗)(x ∪ yy)∗xy

Discrete Structures Section 1.2 Exercise Q9 and Q11. Show that each of the following conditional statements is a tautology using truth tables and without using truth tables.

(3) If L₁ L₂ and L2 is context-free, then L₁ must also be context-free. True False

1) Specify the lexical analysis of this ADA code below using regular expressions:

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