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minimum_equivalent_dnf (585B)


      1 # Minimum equivalent DNF
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      3 Given a [DNF] φ and integer k, does there exist a [DNF] which is [equivalent] to φ and has at most k [literal] occurrences?
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      5 Studied in [umans2001minimum], showed to be [Sigma_P_2_complete]
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      7 Generalization to arbitrary [Boolean_formulas] (and also to bounded-depth [Boolean_formulas] with other depth bounds): [MEE]
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      9 Related problem via [truth_tables] on [Boolean_formulas] ([Minimum_formula_size_problem]) and [Boolean_circuits] ([MCSP])
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     11 See also: [umans2001minimum], [DNF_minimization], [goldsmith2008complexity]
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     13 Up: [minimum_equivalent_problem], [DNF]