in Mathematical Logic edited by
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The following question is on the NPTEL archive of Assignment 2 of Discrete Mathematics Course,(Link :  assessment id-15 (nptel.ac.in)) . I am not able to get how

the answer is given option A  but I am getting B, C and D. I have also attached my reasoning below. Let me know If I am missing something.

 

in Mathematical Logic edited by
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4 Comments

I think there is a misprint in the question. They want to ask which of the following is NOT a logical consequence
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2

As @himgta said, they want to ask which of the following is NOT a logical consequence. 

Option $4$ is equivalent to the given expression.

Option $2,3$ are equivalent to each other.

Option $2,3$ are Not equivalent to the given expression, But the given expression logically implies option $2,3.$

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@himgta @Deepak Poonia   Thank you! I was thinking that I was missing something but now it is clear.

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only option 4 is correct

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