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7 : if L(x) = (a,b,(a,b)) then find C(D(x)) 8 : find D(C(x)) Section 2: Word series Q's: 9 - 16 If S is a string then p, q, r forms the sub strings of S. For eg, if S = aaababc & p = aa,q = ab, r =bc . Then on applying p q on S is that ababaabc. Only the first occurrence of S has to be substituted. If there is no sub string of p, q, r on s then it should not be substituted.If S = aabbcc, R = ab, Q = bc. Now we define an operator R  Q when operated on S, R is replaced by Q, provided Q is a subset of S, otherwise R will be unchanged. Given a set S =... when R Q, P&#61 = 672; R, Q  P operated successively on S, what will be new S? There will be 4 =: if s = aaababc & p = aa, q = ab, r = bc then applying p q, q r & r p will give, (a): aaababc (b): abaabbc (c): abcbaac (d): none of the a,b,c 10: if s = aaababc & p = aa q = ab r = bc then applying q r & r p will give, 11: if s = abababc & p = aa q = ab r = bc then applying p q, q r & r p will give, 12: if s = abababc & p = aa q = ab r =bc then applying q r & r p will give, 13: if s=aabc & p=aa q=ab r=ac then applying p->q(2) q->r(2) r->p will give,(2) Means applying the same thing twice. 14: Similar type of problem. 15) if s = abbabc p = ab q = bb r = bc then to get s = abbabc which one should be applied. (a): p->q,q->r,r->p 16) if s = abbabc p = ab q = bb r = bc then to get s = bbbcbabc which one should be applied. Let us consider a set of strings such as S = aabcab. We now consider two more sets P and Q that also contain strings. An operation P Q is defined in such a manner that if P is a subset of S, then P is to be replaced by Q. In the following questions, you are given various sets of strings on which you have to perform certain operations as defined above. Choose the correct alternative as your answer.(Below are some ques from old ques papers) a) Let S = abcabc, P = bc, Q = bb and R = ba. Then P Q, Q R and R P, changes S to ________? (A) ............ (B) abcabc (C) ............ (D) none of A, B, C b) Let S = aabbcc, P = ab, Q = bc and R = cc. Then P Q, Q R and R P, changes S to _________? (A) ababab (B) ............ (C) ............ (D) none of A, B, C c) Let S = bcacbc, P = ac, Q = ca and R = ba. Then P Q, Q R, P R and changes S to