Q. LL grammar for the language L = {a^n b^m c^n+m | m≥0, n≥0} is

View solution

Q. Assume the statements S1 and S2 given as:

S1: Given a context free grammar G, there exists an algorithm for determining whether L(G) is infinite.
S2: There exists an algorithm to determine whether two context free grammars generate the same language.

Which of the following is true?

View solution

Q. Assume, L is regular language. Let statements S1 and S2 be defined as :

S1 : SQRT(L) = { x| for some y with |y| = |x|^2, xy ∈L}
S2 : LOG(L) = { x| for some y with |y| = 2^|x|, xy ∈ L}

Which of the following is true ?

View solution

Q. A regular grammar for the language L = {a^nb^m | n is even and m is even}is given by

View solution

Q. Given the following productions of a grammar :

S→ aA| aBB;
A→aaA |λ ;
B→ bB| bbC;
C→ B

Which of the following is true ?

View solution

Q. The language accepted by the nondeterministic pushdown automaton

M= ({q0, q1, q2}, {a, b}, {a, b, z}, δ, q0, z, {q2}) with transitions
δ (q0 a, z) = { (q1 a), (q2 λ)};
δ (q1, b, a) = { (q1, b)}
δ (q1, b, b) ={ (q1 b)}, δ (q1, a, b) = { (q2, λ)}

is

View solution

Q. The language L = {a^n b^n a^m b^m | n ≥ 0, m ≥ 0} is

View solution

Q. Assume statements S1 and S2 defined as :

S1 : L2-L1 is recursive enumerable where L1 and L2 are recursive and recursive enumerable respectively.
S2 : The set of all Turing machines is countable.

Which of the following is true ?

View solution

Q. Non-deterministic pushdown automaton that accepts the language generated by the grammar:

S→aSS | ab is

(A) δ(q0, λ, z) = { (q1, z)};
δ(q0, a, S) = { (q1, SS)}, (q1, B) }
δ(q0, b, B) = { (q1, λ)},
δ(q1, λ, z) = { (qf, λ)}

(B) δ(q0, λ, z) = { (q1, Sz)};
δ(q0, a, S) = { (q1, SS)}, (q1, B) }
δ(q0, b, B) = { (q1, λ)},
δ(q1, λ, z) = { (qf, λ)}

(C) δ(q0, λ, z) = { (q1, Sz)};
δ(q0, a, S) = { (q1, S)}, (q1, B) }
δ(q0, b, λ) = { (q1, B)},
δ(q1, λ, z) = { (qf, λ)}

(D) δ(q0, λ, z) = { (q1, z)};
δ(q0, a, S) = { (q1, SS)}, (q1, B) }
δ(q0, b, λ) = { (q1, B)},
δ(q1, λ, z) = { (qf, λ)}

View solution

Q. Given L1 = L(a*baa*) and L2 = L(ab*)
The regular expression corresponding to language L3 = L1/L2 (right quotient) is given by

View solution

Q. Given the production rules of a grammar G1 as

S1→AB | aaB
A→a | Aa
B→b

and the production rules of a grammar G2 as

S2→aS2bS2 | bS2aS2 | λ

Which of the following is correct statement?

View solution

Q. Given a grammar : S1→Sc, S→SA|A, A→aSb|ab, there is a rightmost derivation S1=>Sc =>SAC=>SaSbc. Thus, SaSbc is a right sentential form, and its handle is

View solution

Q. The equivalent production rules corresponding to the production rules

S→Sα1|Sα2|β1|β2 is

View solution

Q. Given a Non-deterministic Finite Automation (NFA) with states p and r as initial and final states respectively transition table as given below

The minimum number of states required in Deterministic Finite Automation (DFA) equivalent to NFA is

View solution

Q. The grammar with production rules S → aSb |SS|λ generates language L given by:

View solution

Q. A pushdown automation M = (Q, Σ, Γ, δ, q0, z, F) is set to be deterministic subject to which of the following condition(s), for every q ∈ Q, a ∈ Σ ∪ {λ} and b ∈ Γ
(s1) δ(q, a, b) contains at most one element
(s2) if δ(q, λ, b) is not empty then δ(q, c, b) must be empty for every c ∈ Σ

View solution

Q. For every context free grammar (G) there exists an algorithm that passes any w ∈ L(G) in number of steps proportional to

View solution

Q. Match the following:

a. Context sensitive language          i. Deterministic finite automation
b. Regular grammar                            ii. Recursive enumerable
c. Context free grammar                     iii. Recursive language
d. Unrestricted grammar                     iv. Pushdown automation

Codes:
      a   b    c   d

View solution

Q. The statements s1 and s2 are given as:

s1: Context sensitive languages are closed under intersection, concatenation, substitution and inverse homomorphism.
s2: Context free languages are closed under complementation, substitution and homomorphism.

Which of the following is correct statement?

View solution

Q. Consider the following statements :

I. Recursive languages are closed under complementation.
II. Recursively enumerable languages are closed under union.
III. Recursively enumerable languages are closed under complementation.

Which of the above statements are true ?

View solution