Test: Pumping Lemma - Computer Science Engineering (CSE) MCQ


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10 Questions MCQ Test GATE Computer Science Engineering(CSE) 2024 Mock Test Series - Test: Pumping Lemma

Test: Pumping Lemma for Computer Science Engineering (CSE) 2024 is part of GATE Computer Science Engineering(CSE) 2024 Mock Test Series preparation. The Test: Pumping Lemma questions and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus.The Test: Pumping Lemma MCQs are made for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Pumping Lemma below.
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Test: Pumping Lemma - Question 1

While applying Pumping lemma over a language, we consider a string w that belong to L and fragment it into _________ parts.

Detailed Solution for Test: Pumping Lemma - Question 1

We select a string w such that w=xyz and |y|>0 and other conditions. However, there exists an integer n such that |w|>=n for any wÎL

Test: Pumping Lemma - Question 2

Let w= xyz and y refers to the middle portion and |y|>0.What do we call the process of repeating y 0 or more times before checking that they still belong to the language L or not?

Detailed Solution for Test: Pumping Lemma - Question 2

The process of repeatation is called pumping and so, pumping is the process we perform before we check whether the pumped string belongs to L or not.

Test: Pumping Lemma - Question 3

Fill in the blank in terms of p, where p is the maximum string length in L. Statement: Finite languages trivially satisfy the pumping lemma by having n = ______

Detailed Solution for Test: Pumping Lemma - Question 3

Finite languages trivially satisfy the pumping lemma by having n equal to the maximum string length in l plus 1.

Test: Pumping Lemma - Question 4

If d is a final state, which of the following is correct according to the given diagram?

Detailed Solution for Test: Pumping Lemma - Question 4

The FSA accepts the string pqrs. In terms of pumping lemma, the string pqrs is broken into an x portion an a, a y portion qr and a z portion s.

Test: Pumping Lemma - Question 5

Which of the following one can relate to the given statement:
Statement: If n items are put into m containers, with n>m, then atleast one container must contain more than one item.

Detailed Solution for Test: Pumping Lemma - Question 5

Pigeon hole principle states the following example: If there exists n=10 pigeons in m=9 holes, then since 10>9, the pigeonhole principle says that at least one hole has more than one pigeon.

Test: Pumping Lemma - Question 6

Relate the following statement:
Statement: All sufficiently long words in a regular language can have a middle section of words repeated a number of times to produce a new word which also lies within the same language.

Detailed Solution for Test: Pumping Lemma - Question 6

Pumping lemma defines an essential property for every regular language in automata theory. It has certain rules which decide whether a language is regular or not.

Test: Pumping Lemma - Question 7

If we select a string w such that w∈L, and w=xyz. Which of the following portions cannot be an empty string?

Detailed Solution for Test: Pumping Lemma - Question 7

The lemma says, the portion y in xyz cannot be zero or empty i.e. |y|>0, this condition needs to be fulfilled to check the conclusion condition.

Test: Pumping Lemma - Question 8

There exists a language L. We define a string w such that w∈L and w=xyz and |w| >=n for some constant integer n. What can be the maximum length of the substring xy i.e. |xy|<=?

Detailed Solution for Test: Pumping Lemma - Question 8

It is the first conditional statement of the lemma that states that |xy|<=n, i.e. the maximum length of the substring xy in w can be n only.

Test: Pumping Lemma - Question 9

Answer in accordance to the third and last statement in pumping lemma:For all _______ xyiz ∈L

Detailed Solution for Test: Pumping Lemma - Question 9

Suppose L is a regular language . Then there is an integer n so that for any x∈L and |x|>=n, there are strings u,v,w so that
x= uvw
|uv|<=n
|v|>0
for any m>=0, uvmw ∈L.

Test: Pumping Lemma - Question 10

Let w be a string and fragmented by three variable x, y, and z as per pumping lemma. What does these variables represent?

Detailed Solution for Test: Pumping Lemma - Question 10

Given: w =xyz. Here, xyz individually represents strings or rather substrings which we compute over conditions to check the regularity of the language.

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