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The same methods of boolean expression minimization (simplification) listed below may be applied to the circuit optimization.
For the case when the Boolean function is specified by a circuit (that is, we want to find an equivalent circuit of minimum size possible), the unbounded circuit minimization problem was long-conjectured to be [[polynomial hierarchy|<math>\Sigma_2^P</math>-complete]] in [[time complexity]]
Boolean function minimizing methods include:
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