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← GATE CSE 2014 Set 3

Q38

MCQ2 marks, −0.67

Consider the decision problem 2CNFSAT2CNFSAT defined as follows:

{ϕ∣ϕ is a satisfiable propositional formula in CNF with at most two literals per clause}\left\{ \phi \mid \phi \text{ is a satisfiable propositional formula in CNF with at most two literals per clause}\right\}

For example, ϕ=(x1∨x2)∧(x1∨x3ˉ)∧(x2∨x4)\phi = (x1 \vee x2) \wedge (x1 \vee \bar{x3}) \wedge (x2 \vee x4) is a Boolean formula and it is in 2CNFSAT2CNFSAT. The decision problem 2CNFSAT2CNFSAT is

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