ANSWER
Explanation
Rules of the s-grammar are as that of GNF only.
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Let G be any simple grammar (s-grammar) and w be any string in L(G). Which of...
2. Let w 100101 and G be the context-free grammar whose productions are given below (Note that G is in Chomsky Normal Form) 2. SKY 7. K ->YC 8. K 1 3, C CY 4. C1 Draw a parse tree for w. a. b. Test membership of w in L(G) using CYK algorithm (CYK algorithm is discussed in Section 7.4.4 of the textbook). Write down your solution step by step by giving proper explanations. c. Which nonterminals in G can...
6. (20) Let G = (V, ∑, R, S) be a grammar with V = {Q, R, T};
∑ = {q, r,ts}; and the set of rules:
S→Q
Q→q | RqT
R→r | rT | QQr
T→t | S| tT
a. (5) Convert G to a PDA using the method we described.
b. (15) Convert G to Chomsky normal form.
6. (20) Let G = (V, , R, S) be a grammar with V = {Q, R, T}; { =...
Let G = (V, S, R, S) be a grammar with V = {Q, R, T}; { = {q, r,ts}; and the set of rules: SQ Q→ RqT RrrT QQr T>t | StT b. (15) Convert G to Chomsky normal form.
TRUE OR FALSE? (Note: E = belongs to) 1. A context-free grammar G is in Chomsky normal form. Then G is not recursive. 2. Let G be an arbitrary context-free grammar. uAv =>* u'A'v' , where u, v, u' and v' E V* and A E (V - Eps), then L(G) is infinite. 3. {ww : w E {a, b}*} is accepted by some NDPDA with exactly two states
6.(20) Let G=(V, S, R, S) be a grammar with V = {Q, R, T}; { = {q, r,ts}; and the set of rules: SQ Qq RqT R~rrt Qor T>t | ST a. (5) Convert G to a PDA using the method we described. b. (15) Convert G to Chomsky normal form.
Please answer any 7 of them
ТОС Answer any 7 from the followings: 1. Regular expression to NFA: i) ab(aUb)* ii) (aba U a)*ab 2. Explain and construct a generalized NFA, 3. NFA to regular expression 0 3 91 93 8 a 4. DFA to regular expression 011 5. Explain the rules of pumping lemma briefly with an example. 6. Give an example of right linear grammar and left linear grammar. 7. L(G) = {1*20 m >= 1 and >=1}....
Question 1. Let S = {a,b}, and consider the language L = {w E E* : w contains at least one b and an even number of a's}. Draw a graph representing a DFA (not NFA) that accepts this language. Question 2. Let L be the language given below. L = {a”62m : n > 0} = {1, abb, aabbbb, aaabbbbbb, ...} Find production rules for a grammar that generates L.
1. Let f : L→ L be a diagonalizable operator with a simple spectrum. a) Prove that any operator g L L such that 9f fg can be represented in -fg can be represented in the form of a polynomial of f. b) Prove that the dimension of the space of such operators g equals dim L. Are these assertions true if the spectrum of f is not simple?
1. Let f : L→ L be a diagonalizable operator with...
Given any string w ∈ {0, 1}∗, let n0(w) = number of 0′s in w and n1(w) = number of 1′s in w. Prove, by using the pumping lemma, that the language {w | 0 ≤ n0(w) ≤ 2∗n1(w)+1.} is not a regular language.
Need help with Programming Language plz.
(15) Consider this grammar and given table: S -(L) L-L,S L-S rocess the string (a, (a, a)) using the table and showing the steps for processing ach input. Remember that each imput string has an implied at the end of it. Be sure o show all work to get full credit for the question Goto Action State a S3 S2 S3 S2 12 12 r3 S6 S7 r4 r4 S3 S2 r3 r3 r3...