On Variable Ordering and Decomposition Type Choice in OKFDDs

  • Authors:
  • Rolf Drechsler;Bernd Becker;Andrea Jahnke

  • Affiliations:
  • Albert-Ludwigs-Univ., Freiburg-im-Breslau, Germany;Albert-Ludwigs-Univ., Freiburg-im-Breslau, Germany;J.W. Goethe-Univ., Frankfurt am Main, Germany

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1998

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Abstract

We present methods for the construction of small Ordered Kronecker Functional Decision Diagrams (OKFDDs). OKFDDs are a generalization of Ordered Binary Decision Diagrams (OBDDs) and Ordered Functional Decision Diagrams (OFDDs) as well. Starting with an upper bound for the size of an OKFDD representing a tree-like circuit, we develop different heuristics to find good variable orderings and decomposition types for OKFDDs representing two-level and multilevel circuits, respectively. Experimental results are presented to show the efficiency of our approaches.