Q. Which of the following regular expression identities are true ?

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Q. The minimum number of states of the non-deterministic finite automation which accepts the language
{a b a bn| n  ≥  0} ∪ {a b an|n  ≥ 0} is 

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Q. Which of the following definitions generates the same Language as L, where
L = {WWR | W ∈ {a, b}*} 

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Q. If the parse tree of a word w generated by a Chomsky normal form grammar has no path of length greater than i, then the word w is of length 

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Q. Given the following statements :

S1: SLR uses follow information to guide reductions.In case of LR and LALR parsers, the look-aheads are associated with the  Items and they make use of the left context available to the parser.
S2: LR grammar is a larger sub-class of context free grammar as compared to that SLR and LALR grammars. 

Which of the following is true ? 

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Q. The context free grammar for the language

L= {anbm  | n ≤ m+3,n ≥ 0 ,m≥ 0 } : is

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Q. Given the following statements:

S1: If L is a regular language then the language {uv | u ∈  L, v ∈ LR } is also regular.
S2: L = {wwR} is regular language.

Which of the following is true?

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Q. Given the following statements.

S1: The grammars S → asb | bsa |ss I a and s→ asb | bsa| a are not equivalent.
S2: The grammars S→. ss| sss | asb | bsa| λ and S → ss |asb |bsa| λ are equivalent.

Which of the following is true?

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Q. Pumping -lemma for context-free languages states :
Let Lbe an infinite context free language. Then there exists some positive integer m such that any w ∈ L with Iwl ≥m can be decomposed as w = uv xy Z with Ivxyl_________ and Ivy I such that uvz, xyZ
Z ∈ L for all z = 0, 1,2, .......

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Q. The Greibach normal form grammar for the language L = {an bn+1 | n ≥ 0 } is

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Q. Given the following statements:

S1: Every context-sensitive language L is recursive.
S2: There exists a recursive language that is not context sensitive.

Which statement is correct?

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Q. Shift-Reduce parsers perform the following :

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Q. The following Context-Free Grammar (CFG) :

S → aB | bA

A → a | as | bAA

B → b | bs | aBB

will generate

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Q. Which of the following is true?

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Q. The pushdown automation M = ( {q0, q1, q2}',{a, b}, {0, 1}, δ, q0,0, {q0}) with

δ (q0, a, 0) = {(q1,10)}

δ (q1,a, 1) = {(q1,11)}

δ (q1,b, 1) = {(q2 , λ)}

δ(q2 , b, 1) = {(q2 , λ)}

δ (q2 , A, 0) = {(q0, λ)}

Accepts the language

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Q. Given two languages:

L1= {(ab)n,ak I n> k, k >=0}

L2 = {an bm l n ≠ m}

Using pumping lemma for regular language, it can be shown that

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Q. Regular expression for the complement of language L = {a^n b^m I n ≥ 4, m ≤ 3} is

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Q. We can show that the clique problem is NP-hard by proving that

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Q. Given the recursively enumerable language (LRE), the context sensitive language (LCS) the recursive language (LREC) the context free language (LCF) and deterministic context free language (LDCF) The relationship between these families is given by

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Q. Match the following:

       List- I                                                List -II
a. Context free grammar               i. Linear bounded automaton
b. Regular grammar                     ii. Pushdown automaton
c. Context sensitive grammar     iii. Turing machine
d. Unrestricted grammar             iv. Deterministic finite automaton

code:
a   b    c    d

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