Is there a DNF formula equivalent to the propositional formula p and not p?

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1064655

2026-02-15 11:20

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The propositional formula ( p \land \neg p ) is a contradiction, meaning it is always false regardless of the truth value of ( p ). In Disjunctive Normal Form (DNF), which is a disjunction of conjunctions, there is no equivalent expression because a DNF must represent some true outcome. Thus, the DNF equivalent of ( p \land \neg p ) does not exist, as it cannot be satisfied by any truth assignment.

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