An efficient cost-based canonical form for Boolean matching

  • Authors:
  • Giovanni Agosta;Francesco Bruschi;Donatella Sciuto

  • Affiliations:
  • Politecnico di Milano, Milano, Italy;Politecnico di Milano, Milano, Italy;Politecnico di Milano, Milano, Italy

  • Venue:
  • Proceedings of the 17th ACM Great Lakes symposium on VLSI
  • Year:
  • 2007

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Abstract

In this paper, we present new canonical forms for P, NP and NPN equivalence relations on boolean functions. The canonical forms are based on the minimization of a cost function. With respect to previous approaches based on cost minimization, our function allows the minimization algorithm to explore a reduced solution space. This reduction is obtained by partitioning the columns of the boolean function through an equivalence relation. NP and NPN canonical forms are obtained by means of a preprocessing step of negligible computational overhead.