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UGC-NET | UGC-NET CS 2017 Nov – III | Question 19

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The logic of pumping lemma is an example of __________.

(A)

iteration

(B)

recursion

(C)

the divide and conquer principle

(D)

the pigeon – hole principle


Answer: (D)

Explanation:

Pigeon-hole principle states that if there are n pigeons fly into m hole and n > m then at least one hole must contain more than one pigeons. And logic of pumping lemma states that- finite state automaton can assume only a finite number of states and because there are infinitely many input sequence, by the pigeon hole principle, there must be at least one state to which the automata returns over and over again. 

So, option (D) is correct.


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Last Updated : 19 Mar, 2018
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