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CS701 Mid Term Papers Fall 2017 December 9, 2017 to December 20, 2017 & Past Papers

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CS701 Solved Mid Term Papers 

CS701

CS701 Past Mid Term Papers Solved 

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Q1.Is given function is one to one?

Q2.Can a TM can stay head at same location during two consecutive steps?

Can a Turing machine's read head ever be in the same location in two successive steps?

Yes. But the only time this can happen is when the Turing machine is on the first tape square and it tries to move left. It will stay in place instead of falling off the tape.

Q.1. Can Turing Machine contain just single state?
Examine Formal Definition of a Truing Machine. Give Reasons.

Q.2. Collection of Turing Recognizable Languages is closed under the intersection operation.

Q.3. Prove that all the odd numbers have one to one correspondence.

Q.4. Universe is N (kuch iss tarah ka tha)

 Naseem Ahmed Khan  thanks for sharing 

1. Show that the collection of Turning-recognizable language is closed under start , complement , intersection operation.
2. Consider the sentence y x [R1 (x, x, y)]. Let’s assign PLUS to R1 where PLUS (a, b, c) is TRUE whenever a + b = c. If universe is N(Natural Numbers), is this sentence TRUE? Justify your answer.
3. Show that set of all odd integers has one-to-one correspondence with set of even integer.
4. Let B the set of all infinite sequence over {0,1} show B is uncountable using a proof by diagnolization.
5. suppose there is a language L and we know that L is Turing recognizable. We can say L is also Turing Recognisable. Why or why not?

1. Show that the collection of Turning-recognizable language is closed under start , complement , intersection operation.
2. Consider the sentence y x [R1 (x, x, y)]. Let’s assign PLUS to R1 where PLUS (a, b, c) is TRUE whenever a + b = c. If universe is N(Natural Numbers), is this sentence TRUE? Justify your answer.
3. Show that set of all odd integers has one-to-one correspondence with set of even integer.
4. Let B the set of all infinite sequence over {0,1} show B is uncountable using a proof by diagnolization.
5. suppose there is a language L and we know that L is Turing recognizable. We can say L is also Turing Recognisable. Why or why not?

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