For the grammar G = (∑, NT, R, S), where ∑ = {a, b, S, A}, NT = {a, b} and R = {s → AA, A → a, A → bA, A→ Ab}
Questions
1. Give two (2) different derivations of the string babbab.
2. Is G an ambiguous grammar? Explain your answer.
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Show that this grammar is ambiguous for the string a+b+c: <S> - <x> <X> - <x>+ <x> <X> - <id> <id> - abc Give the derivations.
AUTOMATA Given the regular grammar G, G = (Ν, Σ, Π, S), where Ν = {S, A, B} Σ = {a, b} Π = {S → aA, S → aB, A → a, B->a} Starting symbol S is S. Prove that the regular grammar G is ambiguous.
Ambiguous Grammars Question 3 [10 points be an ambiguous context-free grammar. We know that the length of S Mwis not always the same as the length of S → M w. 15/10] Consider the string abba. Create a context-free grammar that proves this point, and show the 2 different derivations of different length. ·15/10 If a context-free grammar is not LL(1) can it then be LR(1) without changing anything? Explain and/or give an example.
Ambiguous Grammars Question 3 [10 points...
4. (5 points) Is the following grammar ambiguous? Justify your answer (give a string and derive it with two leftmost derivations using G). If it is ambiguous, rewrite this grammar to an unambiguous one (hint: recall "dangling else" as we discussed in the class)
6. (5 points) Consider the context free grammar G = (V, E, R, S) where V is {S, A, B, a, b,c}, & is {a,b,c}, and R consists of the following rules: S + BcA S B +a → A S + b A+S Is this grammar ambiguous? swer. Justify your an-
Consider the context-free grammar G = (V, T, S, P) where V = {S}, T = {0, 1, 2, +, *} and with productions S -> S + S | S * S | 0 | 1 | 2 a) Show that the grammar is ambiguous b) Give an equivalent unambiguous grammar.
1. Consider the following grammar A - aB B-Sb (a) Show a derivation tree for the string aabbbb using the grammar. (b) Give an English description of the language generated by the grammar 2. Let G be the grammar below: S-ASB ab | SS (a) Show that G is ambiguous. (b) Construct an unambiguous grammar equivalent to G. 3. Find a context free grammar for the language L3- fa"b"c+m :n,m21) 4. Find a context free grammar for the language L4...
For the grammar <A> ::= <A><A> '+' | <A><A> '*' | 'a' and the string aa + a* Give the leftmost derivation Give the rightmost derivation Give a parse tree Is the grammar ambiguous or unambiguous? (Justify your answer) Describe the language generated by this grammar
Consider a grammar : S --> a | aS | bSS | SSb | SbS, Where
T={a,b} V={S }.
a. Show that the grammar is ambiguous.
b. What is the language generated by this grammar?
2. (20 points) Consider a grammar: S -->a | aS | SS | Ssb | Sbs, Where T={a,b} V={S}. a. Show that the grammar is ambiguous. b. What is the language generated by this grammar?
Consider a grammar: S --> | aS | SS SSb | Sbs, Where T={a,b} V={S }. Show that the grammar is ambiguous. What is the language generated by this grammar?