Computer Sciences > GATE 2014 SET-3 > Complexity Theory
Consider the decision problem 2CNFSAT defined as follows:
{Φ | Φ is a satisfiable propositional formula in CNF with at most two literals per clause}
For example, Φ = (x₁ ∨ x₂) ∧ (x₁ ∨ x̅₃) ∧ (x₂ ∨ x₄) is a Boolean formula and it is in 2CNFSAT. The decision problem 2CNFSAT is
A
NP-Complete.
B
solvable in polynomial time by reduction to directed graph reachability.
C
solvable in constant time since any input instance is satisfiable.
D
NP-hard, but not NP-complete.

Correct : b

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