minimum_equivalent_dnf (585B)
1 # Minimum equivalent DNF 2 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? 4 5 Studied in [umans2001minimum], showed to be [Sigma_P_2_complete] 6 7 Generalization to arbitrary [Boolean_formulas] (and also to bounded-depth [Boolean_formulas] with other depth bounds): [MEE] 8 9 Related problem via [truth_tables] on [Boolean_formulas] ([Minimum_formula_size_problem]) and [Boolean_circuits] ([MCSP]) 10 11 See also: [umans2001minimum], [DNF_minimization], [goldsmith2008complexity] 12 13 Up: [minimum_equivalent_problem], [DNF]