a 14.14 Consider the computational problem HALFSAT defined as follows. The input is a Boolean formula B in CNF. If it is

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a 14.14 Consider the computational problem HALFSAT defined as follows. The input is a Boolean formula B in CNF. If it is

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A 14 14 Consider The Computational Problem Halfsat Defined As Follows The Input Is A Boolean Formula B In Cnf If It Is 1
A 14 14 Consider The Computational Problem Halfsat Defined As Follows The Input Is A Boolean Formula B In Cnf If It Is 1 (697.83 KiB) Viewed 28 times
a 14.14 Consider the computational problem HALFSAT defined as follows. The input is a Boolean formula B in CNF. If it is impossible to satisfy at least half of B's clauses, the solution is “no”. Otherwise a solution is a truth assignment that does satisfy at least half of B's clauses. For example, the input“ (x1 OR NOT x2) AND (x2) AND (NOT x1)" is a positive instance, because the truth assignment "x1=1, x2=1” satisfies two of the three clauses and is therefore a positive solution. Prove that HALFSAT is NP-hard. a DAINO
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