Consider the grammar G = (V,Σ,R,E) with V = {E,T,F} and Σ =
{a,+,∗,(,)}, having the rules
E → E+T | T
T → T∗F | F
F → (E) | a
Give leftmost derivations for each of the following:
(a) a∗a+a∗a
(b) a∗(a+a)∗a
a) a∗a+a∗a E => E+T => T+T => T*F+T => F*F+T => a*F+T => a*a+T => a*a+T*F => a*a+F*F => a*a+a*F => a*a+a*a b) a∗(a+a)∗a E => T => T*F => T*F*F => F*F*F => a*F*F => a*(E)*F => a*(E+T)*F => a*(T+T)*F => a*(F+T)*F => a*(a+T)*F => a*(a+F)*F => a*(a+a)*F => a*(a+a)*a
Consider the grammar G = (V,Σ,R,E) with V = {E,T,F} and Σ = {a,+,∗,(,)}, having the...
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-
KITES DE INSTALA (2) Given the following grammar, E ::= E + F E ::= F: := E.id F ::= id in which E and F are non-terminal symbols, a. Fill in the following blanks to construct two leftmost derivations for the sentence id+id.id. (5 points) 80p pgitech E -> E -> b. Is this grammar ambiguous ? (1 point) N v B c iz X
Consider the following context-free grammar: E + E +T|T T + TxFF F + (E) | a How many production rules does this grammar have?
Let G = (V, S, R, S) be a grammar with V = {Q, R, T}; { = {q, r,ts}; and the set of rules: SQ Q→q RqT RIrTQQr T→t | ST a. (5) Convert G to a PDA using the method we described.
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.
Problem 2. Consider the following CFG G-(V. Σ' R, S) where V-(S, U, W), Σ- {a, b), the start variable is S, and the rules R are: Convert G to an equivalent PDA using the construction described in Lemma 2.21
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}; { =...
(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 Convert G to a PDA.
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.
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.