Question: 4.10 CNF vs. DNE. A Boolean formula is in disjunctive normal form (DNF) if it is an on of clauses, each of which is the

 4.10 CNF vs. DNE. A Boolean formula is in disjunctive normal

4.10 CNF vs. DNE. A Boolean formula is in disjunctive normal form (DNF) if it is an on of clauses, each of which is the AND of a set of literals. Show that SAT for such formulas is in P. Now show that a CNF formula can be converted into a DNF formula on the same variables. Since instances of 3-SAT consist of CNF formulas, why does this not prove that P = NP? Hint: consider the formula What happens when we convert it to DNF form

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