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.
Consider the context-free grammar G = (V, T, S, P) where V = {S}, T =...
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-
Given the following ambiguous context free grammar (3x20) 1. (a) Explain why the grammar is ambiguous (b) Find an equivalent unambiguous context-free grammar. (c) Give the unique leftmost derivation and derivation tree for the string s generated from the unambiguous grammar above. 2. Construct non-deterministic pushdown automata to accept the following language (20) 3. Convert the following CFG into an cquivalent CFG in Chomsky Normal Form (CNF) (20)-
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...
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?
Consider a grammar: S --> | 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?
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...
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?
The following shows a context-free Tammar on {0, 1}. Show that the grammar is ambiguous by generating 2 derivation sequences for word 00111. S > AS5 A → Al|0A101 The following is a context-free grammar on alphabet {a}. Use the string a +a- a to verify whether or not the grammar is ambiguous. AA+AA-AA The following is a gamar equivalent to the one shown above in problem (5). Is it ambiguous? Use a +a- a to verify it. A →...
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?
3 points) Question Three Consider the context-free grammar S >SS+1 SS 1a and the string aa Give a leftmost derivation for the string. 3 points) (4 poiots) (5 points) (3 points) sECTION IWOLAttcmpt.any 3.(or 2) questions from this.scction Suppose we have two tokens: (1) the keyword if, and (2) id-entifiers, which are strings of letters other than if. Show the DFA for these tokens. Give a nightmost derivation for the string. Give a parse tree for the string i) Is...