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Propositional formula minimization is $Σ_2^p$-complete under many-one reductions

Jaakkola, Reijo
arXiv (All) · Papers
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68q17computational-complexityf-4-1logic-in-computer-science
The Minimum Equivalent Expression problem (MEE) asks, given a propositional formula $ϕ$ and an integer $k$, whether $ϕ$ is equivalent to a formula with at most $k$ occurrences of propositional variables. While the problem is clearly in $Σ_2^p$, its completeness under polynomial-time many-one reducti
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