Q. Consider the following two languages:

L1 = {x ∣ for some y with ∣y∣ = 2^∣x∣,xy ∈ L and L is regular language}
L2 = {x ∣ for some y such that ∣x∣ = ∣y∣, xy ∈ L and L is regular language}

Which one of the following is correct?

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Q. Consider the following languages:

L1 = {a^(n+m) b^n a^m ∣ n,m ≥ 0}
L2 = {a^(n+m) b^(n+m) a^(n+m) ∣ n,m ≥ 0}

Which of the following is correct?

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Q. Consider R to be any regular language and L1, L2 be any two context-free languages. Which of the following is correct?

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Q. Consider the following problems:

(i) Whether a finite state automaton halts on all inputs?
(ii) Whether a given context free language is regular?
(iii) Whether a Turing machine computes the product of two numbers?

Which one of the following is correct?

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Q. Which of the following problems is decidable for recursive languages (L)?

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Q. Consider the following grammar G:

S → A ∣ B
A → a ∣ c
B → b ∣ c
where {S, A, B} is the set of non-terminals, {a, b, c,} is the set of terminals.

Which of the following statement(s) is/are correct?
S1: LR(1) can parse all strings that are generated using grammar G.
S2: LL(1) can parse all strings that are generated using grammar G.

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Q. The grammar S → (S) ∣ SS ∣ ϵ is not suitable for predictive parsing because the grammar is

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Q. Two finite state machines are said to be equivalent if they:

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Q. A pushdown automata behaves like a Turing machine when the number of auxiliary memory is:

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Q. Pushdown automata can recognize language generated by ................

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Q. To obtain a string of n Terminals from a given Chomsky normal form grammar, the number of productions to be used is:

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Q. Consider the following two Grammars:

G1 : S → SbS | a
G2 : S → aB | ab, A→GAB | a, B→ABb | b

Which of the following option is correct?

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Q. Context sensitive language can be recognized by a:

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Q. The set A={ 0^n 1^n 2^n | n=1, 2, 3, ......... } is an example of a grammar that is:

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Q. A bottom-up parser generates:

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Q. Consider the following statements:

S1 : There exists no algorithm for deciding if any two Turing machines M1 and M2 accept the same language.
S2 : The problem of determining whether a Turing machine halts on any input is undecidable.

Which of the following options is correct?

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Q. Which of the following regular expressions, each describing a language of binary numbers (MSB to LSB) that represents non-negative decimal values, does not include even values? (Where {+, *} are quantification characters.)

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Q. Which of the following statements is/ are TRUE?

(a) The grammar S → SS a is ambiguous. (Where S is the start symbol)
(b) The grammar S → 0S1 | 01S | ϵ is ambiguous. (The special symbol ϵ represents the empty string) (Where S is the start symbol)
(c) The grammar (Where S is the start symbol)
S → T/U
T → x S y | xy | ϵ
U → yT
generates a language consisting of the string yxxyy.

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Q. Pumping lemma for regular language is generally used for proving:

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Q. Which of the following problems is undecidable?

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