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Consider the DFA given. 




Which of the following are FALSE?


1. Complement of L(A) is context-free.

2. L(A) = L((11*0+0)(0 + 1)*0*1*)

3. For the language accepted by A, A is the minimal DFA.

4. A accepts all strings over {0, 1} of length at least 2.

  • a)
    1 and 3 only

  • b)
    2 and 4 only

  • c)
    2 and 3 only

  • d)
    3 and 4 only

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider the DFA given.Which of the following are FALSE?1. Complement ...
Explanation :


(1) L(A) is regular, its complement is also regular and if it is regular it is also context free.

(2) L ( A ) = ( 11*0 + 0 )( 0 + 1 ) * 0*1* = 1*0 ( 0 + 1 ) *  Language has all strings where each string contains ‘0’.

(3) A is not minimal, it can be constructed with 2 states

(4) Language has all strings, where each string contains ‘0’. ( atleast length one)
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Most Upvoted Answer
Consider the DFA given.Which of the following are FALSE?1. Complement ...
2 is not minimal last 2 are unnecessary
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Consider the DFA given.Which of the following are FALSE?1. Complement of L(A) is context-free.2. L(A) = L((11*0+0)(0 + 1)*0*1*)3. For the language accepted by A, A is the minimal DFA.4. A accepts all strings over {0, 1} of length at least 2.a)1 and 3 onlyb)2 and 4 onlyc)2 and 3 onlyd)3 and 4 onlyCorrect answer is option 'D'. Can you explain this answer?
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