Assignment on Demorgan’s Law

Formal language theory
Part I: Multiple Choices: Choose the best answer from the given alternative and put your choice of letter on the pace provided.1. Assume B is a set and U is universal set, based on this assumption, which one of the following isnot equal to B ∪ ∅A. B-∅ B. B ∩ ∅ C . D.B2. Which of the following alternative is True about Demorgan’s LawA. 1⋂ 2 = 1⋂ 2 B. S1∪S2 = 1⋂ 2 C. 1⋃ 2 = 1⋃ 2 D. 1⋂ 2 = 1⋃ 23. If s1 and s2 are two sets and if both sets contain same elements, then which of the followingstatement is not true?A. S1⊆S2 B. S2⊆S1 C. S1⊆S1 D. S1⊂S24. If A={ 0,1,2} then, identify the wrong statement from the following listA. ∅ ∈2A B. {0,1,2} ∈2A C. |2A|=8 D. (0,1,2)⊆2A5. If we have a relation R in the set {0,1,2,. ,. ,. ,20} if a divides b, so which statement can be trueabout RA. R is symmetric B. R is transitive C. R is equivalence D. R is not a Relation6. Which of the following is not true about degree of a vertex in a graphA. Internal vertex must have more than one degreeB. Degree is the number of edges in a particular vertexC. A vertex is called leaf if it has one degreeD. Loop in a vertex cannot count as a degreePart II: Short answer Type: Write brief statements about the following depending on the specific questions1. What will be the language generated by the grammar: G=({S},{a,b},S,{S→SS,S→S})2. Define Grammar Formally.3. What is the language L(G) that will be generated by the grammar: G=({S,B},{a,b},S,{S→aaB,B→b} ).

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